##### NEET 2024 Most scoring concepts

ApplyJust Study 32% of the NEET syllabus and Score upto 100% marks

Access premium articles, webinars, resources to make the best decisions for career, course, exams, scholarships, study abroad and much more with

Plan, Prepare & Make the Best Career Choices

Edited By Ramraj Saini | Updated on Oct 09, 2023 04:55 PM IST

**Comparing Quantities Class 8 Questions And Answers** provided here. These NCERT Solutions are created by expert team at craeers360 keeping the latest syllabus and pattern of CBSE 2023-23. This chapter includes several important topics, like ratios, percentages, discount, profit & loss, and simple and compound interest. The ratio of two quantities is known as comparing quantity. In this chapter, we are going to compare quantities like marks of two students, the height of two persons, a comparison of profit, sales value, etc.

This Story also Contains

- NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities
- Comparing Quantities Class 8 Questions And Answers PDF Free Download
- Comparing Quantities Class 8 Solutions - Important Formulae
- Comparing Quantities Class 8 NCERT Solutions (Intext Questions and Exercise)
- NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities - Topics
- NCERT Solutions for Class 8 Maths - Chapter Wise
- Key Features Of class 8 comparing quantities NCERT solutions
- NCERT Solutions for Class 8 - Subject Wise

In the NCERT solutions for Class 8 Maths chapter 8 Comparing Quantities, there are 3 exercises with 26 questions. The first exercise of CBSE Class 8 chapter Comparing Quantities is on percentage and ratio. The second exercise is on finding the increase or decrease percent and finding discounts. Through these NCERT solutions for Class 8 Maths chapter 8 Comparing Quantities, students can cover all the problems related to ratios, percentages, discount, profit-loss, and simple-compound interest. Here you will get the detailed NCERT Solutions for Class 8 Maths by clicking on the link.

Profit: Profit = Selling price - Cost price

Loss: Loss = Cost price - Selling price

Profit or Loss Determination:

If SP > CP, then it is a profit.

If SP = CP, then it is neither profit nor loss.

If CP > SP, then it is a loss.

Discount: Discount = Marked Price - Sale Price

Discount Percentage: Discount % = (Discount × 100) / Marked Price

Profit Percentage: Profit Percentage = (Profit / Cost Price) × 100

Loss Percentage: Loss Percentage = (Loss / Cost Price) × 100

Percentage Increased: Percentage Increased = (Change in Value / Original Value) × 100

Simple Interest: Simple Interest = (Principal × Rate × Time) / 100

Compound Interest Formula: Compound Interest = Amount - Principal

Sales Tax or VAT: Sales tax or VAT = (Cost Price × Rate of Sales Tax) / 100

Billing Amount: Billing Amount = Selling price + VAT

Free download **NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities **for CBSE Exam.

** Comparing quantities class 8 NCERT solutions - Topic 8.1 **

** (i) **

Using this, answer the following :

(i) How many parents were surveyed?

Let the number of parents surveyed be X.

30% of them helped for hour to hours.

In total, there were 90 such parents.

30% of X = 90

Therefore, there were a total of 300 parents who were surveyed.

** (ii) **

Using this, answer the following :

(ii) How many said that they did not help?

from the previous question number of parents surveyed X = 300.

Given, 50% did not help.

Therefore, number of parents that did not help = 50% of 300 = 150.

** (iii) **

to hours. The distribution of parents according to the time for which they said they helped is given in the adjoining figure; 20% helped for more than hours; 30% helped for hour to hours; 50 % did not help at all.

Using this, answer the following :

(iii) How many said that they helped for more than hours?

from the first question number of parents surveyed X = 300

Given, 20% helped for more than hours.

Therefore, number of such parents = 20% of 300 = 2 x 30 = 60.

** Class 8 comparing quantities NCERT solutions - Topic 8.3 **

** 1(a) ** A shop gives 20% discount. What would the sale price of each of these be?

(a) A dress marked at Rs 120.

The marked price of dress = Rs120

Discount rate = 20%

Selling price (SP) = Marked price - Total discount = Rs (120- 24) = Rs 96.

** 1(b) ** A shop gives 20% discount. What would the sale price of each of these be?

(b) A pair of shoes marked at Rs 750

The marked price of shoes=Rs 750

Discount rate = 20%

Selling price= Marked price- Total discount =Rs (750- 150) = Rs 600.

** 1(c) ** A shop gives 20% discount. What would the sale price of each of these be?

(c) A bag marked at Rs 250

The marked price of bag = Rs 250

Discount rate=20%

Selling price = Marked price - Total discount = Rs (250- 50) = Rs 200.

Marked price = Rs 15000

Selling Price = Rs 14400

We know, Discount amount = Marked price - Selling price

Discount amount = Rs 15000-Rs 14400 = Rs 600

Therefore, Discount percentage = 4%

** 3 ** An almirah is sold at Rs 5,225 after allowing a discount of 5%. Find its marked price.

Selling price = Rs 5225

Discount percent = 5%

Therefore, the marked price = Rs 5500

** NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Topic 8.4.1 **

** 1(a) ** Find selling price (SP) if a profit of 5% is made on

(a) A cycle of Rs 700 with Rs 50 as overhead charges.

We know, Cost price = Buying price + Overhead expenses

Cost price = Rs 700 + Rs 50 = Rs 750

Profit percent = 5%

We know,

Profit = Rs 37.5

Now, Selling price (SP) = Cost price + Profit =Rs 750 + Rs 37.5 = Rs 787.50

Therefore, the selling price (SP) is Rs 787.50

** 1(b) ** Find selling price (SP) if a profit of 5% is made on

(b) a lawnmower bought at Rs 1150 with Rs 50 as transportation charges.

If a profit of 5% is made on a lawnmower bought at Rs 1150 with Rs 50 as transportation charges then selling price is:

** 1 (c) ** Find selling price (SP) if a profit of 5% is made on

(c) a fan bought at Rs 560 and expenses of Rs 40 made on its repairs.

We know, Cost price = Buying price + Overhead expenses

Cost price = Rs 560 + Rs 40 = Rs 600

Profit percent = 5%

Profit = Rs 30

Now, Selling price (SP) = Cost price + Profit =Rs 600 + Rs 30 = Rs 630

Therefore, the selling price (SP) is Rs 630

Net profit = Rs 1000 - Rs 1000 = 0

He neither made an overall profit or loss since the profit made on the first tv equals the loss suffered on the second one.

Let the number be x.

Half the number =

** = 50 % **

Therefore, ** ** If we take half the number, the decrease in percent is 50%

Difference between Rs 2400 and Rs 2000 = Rs 2400- Rs 2000 = Rs 400

The per cent by which Rs 2,000 is less than Rs 2,400 is

( ** Less with respect to 2400. Hence, 2400 will be in the denominator! ** )

Rs 2000 is less than Rs 2400 by ** 16.66% **

Now,

The per cent by which Rs 2,400 is more than Rs 2,000 is

( ** More with respect to 2000. Hence, 2000 will be in the denominator! ** )

Rs 2400 is more than Rs 2000 by ** 20% **

Therefore, they are not the same.

** NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Topic 8.6 **

** Q ** Find interest and amount to be paid on Rs 15000 at 5% per annum after 2 years.

=Rs1500

Amount to be paid = Interest + Principal Amount

=Rs 15000 + Rs 1500

=Rs 16500

Find the time period and rate for each.

1. A sum taken for years at 8% per annum is compounded half yearly.

Since the sum taken is compounded half yearly:

Time period = 3 half years

Rate = 4% per half year

** NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Topic 8.8 **

Find the time period and rate for each.

A sum taken for 2 years at 4% per annum compounded half yearly.

Since the sum taken is compounded half yearly:

Time period = 4 half years.

Rate = 2% per half year

Find the amount to be paid

1. At the end of 2 years on Rs. 2,400 at 5% per annum compounded annually.

The amount to be paid at the end of 2 years is Rs 2646

Find the amount to be paid

At the end of 1 year on Rs. 1800 at 8% per annum compounded quarterly.

The Amount to be paid at the end of 4 years is Rs 1948.37

** NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Topic 8.9 **

** 1 ** A machinery worth Rs. 10,500 depreciated by 5%. Find its value after one year.

Price of machinery = Rs. 10,500

Value after one year = Rs 10,500- Rs 525 = Rs 9975

The current population of city

= 12 lakh

1200000

Population after two years =

Thus, the population after two years is 1297920.

** Class 8 maths chapter 8 question answer - Exercise 8.1 **

1 (a) Find the ratio of the following.

Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.

The ratio of the speed of cycle to the speed of scooter =

= 1:2

1(b) Find the ratio of the following.

5m to 10km

To find the ratio, we need to make both quantities of the same unit.

We know, 1 km = 1000 m.

10 km = 10x1000 m = 10000 m

Therefore the required ratio =

= 1 : 2000

1(c) Find the ratio of the following.

50 paise to Rs. 5

To find the ratio, we first make the quantities of the same unit.

We know, Rs. 1 = 100 paisa. Rs. 5 = 5x100 = 500 paisa

Therefore, the required ratio =

= 1:10

** 2 (a) ** Convert the following ratios into percentages.

(a) 3:4

To convert a ratio to a percentage, we multiply the ratio by 100%.

The required percentage of the ratio 3:4 =

** 2 (b) ** Convert the following ratios to percentages.

(b)

** Answer: **

To convert a ratio to a percentage, we multiply the ratio by 100%.

The required percentage of ratio 2:3 =

** 3 ** 72% of 25 students are interested in mathematics. How many are not interested in mathematics?

Given;

72% of 25 students are interested in mathematics

Percentage of students not interested in mathematics = (100 - 72)% = 28 %

The number of students not interested in mathematics = 28% of 25

Therefore, 7 students (out of 25) are not interested in mathematics.

Given,

Win percentage of the team = 40%

This means that they won 40 matches out of 100 matches played.

They won 10 matches out of = 25 matches played.

Therefore, they played a total of 25 matches in all.

** 5 ** If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Let the amount of money Chameli had in the beginning = Rs. X

She spends 75% of the money.

Percentage of money left = (100 - 75)% = 25%

Since she has Rs. 600 left.

25% of X = 600

X =2400

Therefore, Chameli had Rs. 2400 with her in the beginning.

Given,

Total number of people = 50 lakhs

Percentage of people who like cricket = 60%

Percentage of people who like football = 30%

Since remaining people like other games,

Percentage of people who like other games = {100 - (60 + 30) } = (100 - 90) = 10%

** 10% of the people like other games. **

Now,

Number of people who like ** cricket ** = 60% of 50 lakhs

Number of people who like ** football ** = 30% of 50 lakhs

Number of people who like ** other games ** = 10% of 50 lakhs

** Class 8 maths chapter 8 NCERT solutions - Exercise 8.2 **

** 1 ** A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

Given,

Percentage increase in the salary = 10%

Therefore, if the original salary was Rs. 100, the new salary is Rs. 110

If new salary is Rs 1,54,000, the original salary was

Therefore, the original salary was Rs. 14,00,00.

Given,

Number of people who went to the zoo on Sunday = 845

Number of people who went to the zoo on Monday = 169

The decrease in the number of people visiting the zoo = (845 - 169) = 676

Percentage decrease

(Decrease from the original number)

The percent decrease in the people visiting the Zoo is 80%

Given,

Cost price (CP) of the 80 articles = Rs. 2,400

Profit percentage = 16%

Profit amount on all 80 articles = 16% of 2400 = 16/100 x 2400 = Rs. 384

The selling price of the 80 articles = Rs. (2400 + 384) = Rs. 2784

Selling price (SP) of each item = Rs. 2784/80 = Rs. 34.8

Therefore, the selling price of one article is Rs.34.8

Given,

Cost of the article = Rs. 15500

Cost of repair = Rs. 450

Cost price(CP) of the article = Rs. (15500 + 450) = Rs. 15950

Profit percentage = 15%

Profit amount = 15% of Rs.15950 = Rs. 2392.50

Selling Price = Rs.(15950 + 2392.50) = Rs. 18342.50

OR

Selling price (SP) of the article = CP + Profit = CP + (15% of CP)

= ** 115% of CP **

Given,

The cost price of the VCR = Rs. 8000

The cost price of TV = Rs. 8000

Now, He made a loss of 4% on VCR.

Selling price (SP) of the VCR = (100-4)% of CP = 96% x Rs. 8000 = Rs. 7680

Again, He made a profit of 8% on TV.

Selling price (SP) of the TV = (100+8)% of CP = 108% x Rs. 8000 = Rs. 8640

Net Selling price = Rs. (7680 + 8640) = Rs. 16320

Net Cost price = Rs. (2x8000) = Rs. 16000

Since, SP > CP, he made a net profit (gain)

Now, Net Gain = CP - SP = Rs. (16320-16000) = Rs. 320

Gain % = = 2%

The shopkeeper made a gain of 2% on the whole transaction.

Since the 10% discount is on all the items, we can calculate the Selling price by totalling the Cost price of all item bought.

Now,

Total Cost price(CP) of the items he bought = CP of a pair of jeans + CP of two shirts = Rs.(1450 + 850 + 850) = Rs. 3150

The selling price of these items = (100- 10)% of Rs. 3150 = 90% x Rs.3150 = Rs. 2835

The customer has to pay Rs. 2835.

Given,

The milkman sold two of his buffaloes for Rs 20,000 each. This is the Selling price of the buffaloes.

Let CP of one of the buffalo be Rs. X and the other be Rs. Y

Since he made a profit of 5% on one of them.

105% of X = Rs. 20000

X = Rs. 19047.6

Similarly, since he made a loss of 10% on the other.

90% of Y = Rs. 20000

Y = Rs. 22222.2

Net CP = Rs.(19047.6 + 22222.2) = Rs. 41269.8

And net SP = 2 x Rs.20000 = Rs. 40000

Since SP < CP, he made a net loss.

His overall loss = Rs. (41269.8 - 40000) = Rs. 1269.8 = Rs. 1270 (approx)

Given,

Cost price of the TV = Rs. 13000

Sales tax at the rate of 12%

Selling price = CP + Sales Tax = CP + 12% of CP

= 112% of CP =

Vinod will have to pay Rs. 14,560.

The discount given was 20% which means if CP is Rs. 100 then the SP is Rs. 80

If SP is Rs. 80 then CP is Rs. 100

For SP of Rs. 1600, CP

The marked price is Rs. 2000.

** 10 ** I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.

Given,

VAT = 8%

Let the original price be Rs. 100

Original price + VAT = Rs. 100 + Rs.

Original price + VAT = Rs. 100 + Rs. 8 = Rs. 108

If the price after VAT is Rs.5400, then the price before VAT is

The price before VAT was added is Rs. 5000.

Given,

GST = 18%

Cost with GST included = Rs. 1239

Cost without GST = x Rs.

cost before GST+ GST = cost with GST

x = 1050

Price before GST = 1050 rupees

** NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Exercise 8.3 **

** 1 (a) ** Calculate the amount and compound interest on

(a) Rs 10,800 for 3 years at % per annum compounded annually .

Given,

Principal,P = Rs 10800

Compound Interese Rate,R = p.a.

Time period,n = 3 years.

We know,

Amount when interest is compounded annually, A =

Therefore, the required amount = = Rs. 15377.34

And Compound Interest, CI = Amount - Principal = Rs. (15377.34 - 10800) = Rs. 4577.34

** 1 (b) ** Calculate the amount and compound interest on

(b) Rs 18,000 for years at 10% per annum compounded annually .

Given,

Principal,P =Rs.18000, Rate,R = 10% and time period,n = 2.5 years.

We know, Amount when interest is compounded annually =

Amount after 2 years at 10% , A = = Rs.21780

This acts as the principal amount for the next half year.

SI on next 1/2 year at = = Rs. 1089

Therefore, Total amount to be paid after 2.5 years = Rs. (21780+1089) = ** Rs.22869 **

Now, Compound Interest after 2 years = A - P = Rs.(21780-18000) = Rs. 3780

Therefore, Compound Interest after 2.5 years, CI = Rs. 3780 + SI = ** Rs.4869 **

** Q: 1 (c) ** Calculate the amount and compound interest on

(c) Rs 62,500 for years at 8% per annum compounded half yearly.

Given,

Principal,P =Rs 62500,

Compound interest Rate,R = 8% compounded half yearly for 1.5 years.

Since it is compounded half yearly, R becomes half = 4%, and time period doubles, n = 3 years.

We know, Amount when interest is compounded annually, A =

Therefore, the required amount = = Rs.70304

And Compound Interest, CI = Amount - Principal = Rs. (70304 - 62500) = Rs. 7804

** 1 (d) ** Calculate the amount and compound interest on:

(d) Rs 8000 for 1 year at 9% per annum compounded half yearly. (You could use the year by year calculation using SI formula to verify)

Given,

Principal,P =Rs.8000, Rate, R = 9% per annum compounded half yearly for 1 year.

Now, there are two half years in a year. Therefore compounding has to be 2 times.

And rate = half of 9% = 4.5% half yearly.

Therefore, the required amount = = Rs. 8736.20

And Compound Interest, CI = Amount - Principal = Rs. (8736.20 - 8000) = Rs. 736.20

** 1 (e) ** Calculate the amount and compound interest on

Rs 10,000 for 1 year at 8% per annum compounded half yearly.

Given,

Principal, P =Rs.10000, Rate, R = 8% per annum compounded half yearly for 1 year.

Now, there are two half years in a year. Therefore compounding has to be 2 times.

And rate = half of 10% = 5% half yearly.

Therefore, the required amount = = ** Rs. 10816 **

And Compound Interest, C.I. = Amount - Principal = Rs. (10816 - 10000) = ** Rs. 816 ** .

The amount borrowed from the bank = Principal amount, P = Rs 26400

Compound interest rate, R = 15% p.a.

Time period = 2 years 4 months =

We know, Amount when interest is compounded annually, A =

Therefore, for the first 2 years, amount, A = = Rs 34914

Now, this would act as principal for the next 1/3 year. We find the SI on Rs 34914 for 1/3 year.

SI = = Rs 1745.70

Therefore, Required amount at the end of 2 years and 4 months = A + SI = Rs (34914 + 1745.70) = ** Rs 36659.70 **

For Fabina,

Principal,P =Rs 12500

Simple interest Rate,R = 12% p.a.

Time period,n = 3 years.

Simple Interest, SI at 12% for 3 years = = Rs 4500

For Radha,

Principal,P =Rs 12500

Compound interest Rate,R = 10% p.a.

Time period,n = 3 years.

We know, Amount when interest is compounded annually,

Fabina pays more interest and Rs (4500 - 4137.50) = Rs 362.50 more.

Given,

Principal,P =Rs 12000

Simple interest Rate,R = 6% p.a.

Time period,n = 2 years.

Simple Interest, SI at 6% for 2 years =

If he would have borrowed it at a compound interest rate, R = 6% p.a.

We know, Amount when interest is compounded annually, A =

He would have to pay Rs (1483.20 - 1440) = Rs 43.20 extra.

(i) after 6 months?

Given,

Principal, P = Rs 60,000

Compound interest rate, R = 12% p.a

= 6 % half yearly

For a period of 6 months. Time period, n = 1 half year (As there is 1 half year in 6 months.)

We know, Amount when interest is compounded annually, A =

After 6 months, Vasudevan would get an amount Rs. 63600.

(ii) after 1 year?

Given,

Principal, P = Rs 60,000

Compound interest rate, R = 12% p.a

= 6 % half-yearly

For a period of 1 year. Time period, n = 2 half years (As there are 2 half years in a year.)

We know, Amount when interest is compounded annually, A =

After 1 year, Vasudevan would get an amount Rs. 67416.

(i) compounded annually.

(ii) compounded half yearly.

(i) Given,

Principal amount, P = Rs 80000

Rate of interest, R = 10% p.a.

Time period = years.

We know, Amount when interest is compounded annually, A =

Now, For the first year, A=

For the next half-year, this will act as the principal amount.

Interest for 1/2 year at 10% p.a =

Required total amount = Rs (88000 + 4400) = ** Rs 92400 **

(ii) If it is compounded half-yearly, then there are 3 half years in years.

n = 3 half years.

And, Rate of interest = half of 10% p.a = 5% half yearly

The difference in the two amounts = Rs (92610 - 92400) = ** Rs 210 **

(i) The amount credited against her name at the end of the second year.

Given,

Principal amount, P = Rs 8,000

Compound rate of interest, R = 5% p.a.

Time period, n = 2 years

We know, Amount when interest is compounded annually,

Therefore, the amount credited against her name at the end of the second year is ** Rs 8,820 **

(ii) The interest for the 3rd year.

Now, the amount after 2nd year will become the principal amount for the 3rd year

Principal amount, P = Rs 8,820

Compound rate of interest, R = 5% p.a.

Time period, n' = 1 year

Therefore, the interest for the 3rd year is ** Rs 441. **

Principal = Rs.10,000

Time = years

Rate = 10% per annum

CASE 1 Interest on compounded half yearly.

Rate = 10% per annum = 5 % per half yearly

= Amount

CI = Amount - principal

CI =

CI = 1576.25

CASE 2 Interest on compounded anually

Rate = 10% per annum

= Amount

CI = Amount - principal

CI =

CI = 1000

Interest for half years on 11000 =

= 550

Total interest =

= RS 1550

Since 1576.25 1000

Thus, interest would be more in CASE 1 i.e. compounded half yearly

Given,

Principal amount, P = Rs 4,096

Rate of interest, R

Time period, n = 18 months = (12 + 6) months = 1.5 years = 3 half years

(There are 3 half years in 1.5 years)

We know,

Amount when interest is compounded annually, (A)

Therefore, the required amount

Ram will get Rs 4,913 after 18 months.

** 10 ** The population of a place increased to 54,000 in 2003 at a rate of 5% per annum

(i) find the population in 2001.

Let the population in 2001 be P

Compound rate of increase = 5% p.a.

The population in 2003 will be more than in 2001

Time period, n = 2 years (2001 to 2003)

Therefore, the population in 2001 was 48980 (approx)

** 10 ** ** ** The population of a place increased to 54,000 in 2003 at a rate of 5% per annum.

(ii) what would be its population in 2005?

Let the population in 2001 be P'

Compound rate of increase = 5% p.a.

The population in 2005 will be more than in 2003

Time period, n = 2 years (2003 to 2005)

Therefore, the population in 2005 will be 59535 (approx)

Given,

Initial count of bacteria, P = 5, 06,000 (Principal Amount)

Rate of increase, R = 2.5% per hour.

Time period, n = 2 hours

(This question is done in a similar manner as compound interest)

Number of bacteria after 2 hours =

Therefore, the number of bacteria at the end of 2 hours will be 531616 (approx)

Given,

Principal = Rs 42,000

Rate of depreciation = 8% p.a

Reduction = 8% of Rs 42000 per year

Value at the end of 1 year = Rs (42000 – 3360) = ** Rs 38,640 **

- Recalling Ratios and Percentages
- Finding the Increase or Decrease Percent
- Finding Discounts
- Prices Related to Buying and Selling (Profit and Loss)
- Sales Tax/Value Added Tax/Goods and Services Tax
- Compound Interest
- Deducing a Formula for Compound Interest
- Rate Compounded Annually or Half Yearly (Semi-Annually)
- Applications of Compound Interest Formula

Chapter -1 | |

Chapter -2 | |

Chapter-3 | |

Chapter-4 | |

Chapter-5 | |

Chapter-6 | |

Chapter-7 | |

Chapter-8 | Comparing Quantities |

Chapter-9 | |

Chapter-10 | |

Chapter-11 | |

Chapter-12 | |

Chapter-13 | |

Chapter-14 | |

Chapter-15 | |

Chapter-16 |

**Complete Coverage:** Solutions for maths chapter 8 class 8 cover all topics and concepts related to comparing quantities as per the Class 8 syllabus.

**Step-by-Step Solutions:** Detailed, step-by-step explanations for each problem, making it easy for students to understand and apply mathematical concepts related to ratios, percentages, and discounts.

**Illustrations and Diagrams:** The inclusion of diagrams, figures, and illustrations to visually explain concepts and methods for comparing quantities ch 8 maths class 8.

**Also Check NCERT Books and NCERT Syllabus here:**

1. What are the important topics of NCERT book chapter Comparing Quantities ?

Increase or decrease percentage, discounts, profit and loss, simple and compound interest are the important topics of this chapter.

2. Does CBSE NCERT syllabus class 8 maths is tough ?

CBSE class 8 maths is damn simple and basic. Most of the chapters are related to the previous classes.

3. How does the NCERT solutions are helpful ?

NCERT solutions are helpful for the students if they are not able to NCERT problems on their own. These solutions are provided in a very detailed manner which will give them conceptual clarity.

4. How many chapters are there in the CBSE class 8 maths ?

There are 16 chapters starting from rational number to playing with numbers in the CBSE class 8 maths.

5. Where can I find the complete solutions of NCERT for class 8 ?

Here you will get the detailed NCERT solutions for class 8 by clicking on the link.

6. Where can I find the complete solutions of NCERT for class 8 maths ?

Here you will get the detailed NCERT solutions for class 8 maths by clicking on the link.

Oct 18, 2023

Jul 03, 2023

Application Date:20 November,2023 - 19 December,2023

Application Date:20 November,2023 - 19 December,2023

Get answers from students and experts

The field of biomedical engineering opens up a universe of expert chances. An Individual in the biomedical engineering career path work in the field of engineering as well as medicine, in order to find out solutions to common problems of the two fields. The biomedical engineering job opportunities are to collaborate with doctors and researchers to develop medical systems, equipment, or devices that can solve clinical problems. Here we will be discussing jobs after biomedical engineering, how to get a job in biomedical engineering, biomedical engineering scope, and salary.

4 Jobs Available

Database professionals use software to store and organise data such as financial information, and customer shipping records. Individuals who opt for a career as data administrators ensure that data is available for users and secured from unauthorised sales. DB administrators may work in various types of industries. It may involve computer systems design, service firms, insurance companies, banks and hospitals.

4 Jobs Available

How fascinating it is to represent the whole world on just a piece of paper or a sphere. With the help of maps, we are able to represent the real world on a much smaller scale. Individuals who opt for a career as a cartographer are those who make maps. But, cartography is not just limited to maps, it is about a mixture of art, science, and technology. As a cartographer, not only you will create maps but use various geodetic surveys and remote sensing systems to measure, analyse, and create different maps for political, cultural or educational purposes.

3 Jobs Available

Individuals in the operations manager jobs are responsible for ensuring the efficiency of each department to acquire its optimal goal. They plan the use of resources and distribution of materials. The operations manager's job description includes managing budgets, negotiating contracts, and performing administrative tasks.

3 Jobs Available

GIS officer work on various GIS software to conduct a study and gather spatial and non-spatial information. GIS experts update the GIS data and maintain it. The databases include aerial or satellite imagery, latitudinal and longitudinal coordinates, and manually digitized images of maps. In a career as GIS expert, one is responsible for creating online and mobile maps.

3 Jobs Available

A career as ethical hacker involves various challenges and provides lucrative opportunities in the digital era where every giant business and startup owns its cyberspace on the world wide web. Individuals in the ethical hacker career path try to find the vulnerabilities in the cyber system to get its authority. If he or she succeeds in it then he or she gets its illegal authority. Individuals in the ethical hacker career path then steal information or delete the file that could affect the business, functioning, or services of the organization.

3 Jobs Available

If you are intrigued by the programming world and are interested in developing communications networks then a career as database architect may be a good option for you. Data architect roles and responsibilities include building design models for data communication networks. Wide Area Networks (WANs), local area networks (LANs), and intranets are included in the database networks. It is expected that database architects will have in-depth knowledge of a company's business to develop a network to fulfil the requirements of the organisation. Stay tuned as we look at the larger picture and give you more information on what is db architecture, why you should pursue database architecture, what to expect from such a degree and what your job opportunities will be after graduation. Here, we will be discussing how to become a data architect. Students can visit NIT Trichy, IIT Kharagpur, JMI New Delhi.

3 Jobs Available

The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

3 Jobs Available

A career as Bank Probationary Officer (PO) is seen as a promising career opportunity and a white-collar career. Each year aspirants take the Bank PO exam. This career provides plenty of career development and opportunities for a successful banking future. If you have more questions about a career as Bank Probationary Officer (PO), what is probationary officer or how to become a Bank Probationary Officer (PO) then you can read the article and clear all your doubts.

3 Jobs Available

3 Jobs Available

The invention of the database has given fresh breath to the people involved in the data analytics career path. Analysis refers to splitting up a whole into its individual components for individual analysis. Data analysis is a method through which raw data are processed and transformed into information that would be beneficial for user strategic thinking.

Data are collected and examined to respond to questions, evaluate hypotheses or contradict theories. It is a tool for analyzing, transforming, modeling, and arranging data with useful knowledge, to assist in decision-making and methods, encompassing various strategies, and is used in different fields of business, research, and social science.

3 Jobs Available

A career as a Finance Executive requires one to be responsible for monitoring an organisation's income, investments and expenses to create and evaluate financial reports. His or her role involves performing audits, invoices, and budget preparations. He or she manages accounting activities, bank reconciliations, and payable and receivable accounts.

3 Jobs Available

An Investment Banking career involves the invention and generation of capital for other organizations, governments, and other entities. Individuals who opt for a career as Investment Bankers are the head of a team dedicated to raising capital by issuing bonds. Investment bankers are termed as the experts who have their fingers on the pulse of the current financial and investing climate. Students can pursue various Investment Banker courses, such as Banking and Insurance, and Economics to opt for an Investment Banking career path.

3 Jobs Available

Bank Branch Managers work in a specific section of banking related to the invention and generation of capital for other organisations, governments, and other entities. Bank Branch Managers work for the organisations and underwrite new debts and equity securities for all type of companies, aid in the sale of securities, as well as help to facilitate mergers and acquisitions, reorganisations, and broker trades for both institutions and private investors.

3 Jobs Available

Treasury analyst career path is often regarded as certified treasury specialist in some business situations, is a finance expert who specifically manages a company or organisation's long-term and short-term financial targets. Treasurer synonym could be a financial officer, which is one of the reputed positions in the corporate world. In a large company, the corporate treasury jobs hold power over the financial decision-making of the total investment and development strategy of the organisation.

3 Jobs Available

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.

3 Jobs Available

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

3 Jobs Available

Individuals in the architecture career are the building designers who plan the whole construction keeping the safety and requirements of the people. Individuals in architect career in India provides professional services for new constructions, alterations, renovations and several other activities. Individuals in architectural careers in India visit site locations to visualize their projects and prepare scaled drawings to submit to a client or employer as a design. Individuals in architecture careers also estimate build costs, materials needed, and the projected time frame to complete a build.

2 Jobs Available

Having a landscape architecture career, you are involved in site analysis, site inventory, land planning, planting design, grading, stormwater management, suitable design, and construction specification. Frederick Law Olmsted, the designer of Central Park in New York introduced the title “landscape architect”. The Australian Institute of Landscape Architects (AILA) proclaims that "Landscape Architects research, plan, design and advise on the stewardship, conservation and sustainability of development of the environment and spaces, both within and beyond the built environment". Therefore, individuals who opt for a career as a landscape architect are those who are educated and experienced in landscape architecture. Students need to pursue various landscape architecture degrees, such as M.Des, M.Plan to become landscape architects. If you have more questions regarding a career as a landscape architect or how to become a landscape architect then you can read the article to get your doubts cleared.

2 Jobs Available

An expert in plumbing is aware of building regulations and safety standards and works to make sure these standards are upheld. Testing pipes for leakage using air pressure and other gauges, and also the ability to construct new pipe systems by cutting, fitting, measuring and threading pipes are some of the other more involved aspects of plumbing. Individuals in the plumber career path are self-employed or work for a small business employing less than ten people, though some might find working for larger entities or the government more desirable.

2 Jobs Available

Individuals who opt for a career as construction managers have a senior-level management role offered in construction firms. Responsibilities in the construction management career path are assigning tasks to workers, inspecting their work, and coordinating with other professionals including architects, subcontractors, and building services engineers.

2 Jobs Available

Carpenters are typically construction workers. They stay involved in performing many types of construction activities. It includes cutting, fitting and assembling wood. Carpenters may help in building constructions, bridges, big ships and boats. Here, in the article, we will discuss carpenter career path, carpenter salary, how to become a carpenter, carpenter job outlook.

2 Jobs Available

An individual who opts for a career as a welder is a professional tradesman who is skilled in creating a fusion between two metal pieces to join it together with the use of a manual or fully automatic welding machine in their welder career path. It is joined by intense heat and gas released between the metal pieces through the welding machine to permanently fix it.

2 Jobs Available

Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems.

2 Jobs Available

Orthotists and Prosthetists are professionals who provide aid to patients with disabilities. They fix them to artificial limbs (prosthetics) and help them to regain stability. There are times when people lose their limbs in an accident. In some other occasions, they are born without a limb or orthopaedic impairment. Orthotists and prosthetists play a crucial role in their lives with fixing them to assistive devices and provide mobility.

6 Jobs Available

A veterinary doctor is a medical professional with a degree in veterinary science. The veterinary science qualification is the minimum requirement to become a veterinary doctor. There are numerous veterinary science courses offered by various institutes. He or she is employed at zoos to ensure they are provided with good health facilities and medical care to improve their life expectancy.

5 Jobs Available

A career in pathology in India is filled with several responsibilities as it is a medical branch and affects human lives. The demand for pathologists has been increasing over the past few years as people are getting more aware of different diseases. Not only that, but an increase in population and lifestyle changes have also contributed to the increase in a pathologist’s demand. The pathology careers provide an extremely huge number of opportunities and if you want to be a part of the medical field you can consider being a pathologist. If you want to know more about a career in pathology in India then continue reading this article.

5 Jobs Available

Gynaecology can be defined as the study of the female body. The job outlook for gynaecology is excellent since there is evergreen demand for one because of their responsibility of dealing with not only women’s health but also fertility and pregnancy issues. Although most women prefer to have a women obstetrician gynaecologist as their doctor, men also explore a career as a gynaecologist and there are ample amounts of male doctors in the field who are gynaecologists and aid women during delivery and childbirth.

4 Jobs Available

When it comes to an operation theatre, there are several tasks that are to be carried out before as well as after the operation or surgery has taken place. Such tasks are not possible without surgical tech and surgical tech tools. A single surgeon cannot do it all alone. It’s like for a footballer he needs his team’s support to score a goal the same goes for a surgeon. It is here, when a surgical technologist comes into the picture. It is the job of a surgical technologist to prepare the operation theatre with all the required equipment before the surgery. Not only that, once an operation is done it is the job of the surgical technologist to clean all the equipment. One has to fulfil the minimum requirements of surgical tech qualifications.

**Also Read:** Career as Nurse

3 Jobs Available

An oncologist is a specialised doctor responsible for providing medical care to patients diagnosed with cancer. He or she uses several therapies to control the cancer and its effect on the human body such as chemotherapy, immunotherapy, radiation therapy and biopsy. An oncologist designs a treatment plan based on a pathology report after diagnosing the type of cancer and where it is spreading inside the body.

3 Jobs Available

Those who wish to make a dentist career in India must know that dental training opens up a universe of expert chances. Notwithstanding private practice, the present dental school graduates can pick other dental profession alternatives, remembering working in medical clinic crisis rooms, leading propelled lab examinations, teaching future dental specialists, or in any event, venturing to the far corners of the planet with International health and relief organizations.

2 Jobs Available

Individuals following a career as health inspectors have to face resistance and lack of cooperation while working on the sites. The health inspector's job description includes taking precautionary measures while inspecting to save themself from any external injury and the need to cover their mouth to avoid toxic substances. A health inspector does the desk job as well as the fieldwork. Health inspector jobs require one to travel long hours to inspect a particular place.

2 Jobs Available

For an individual who opts for a career as an actor, the primary responsibility is to completely speak to the character he or she is playing and to persuade the crowd that the character is genuine by connecting with them and bringing them into the story. This applies to significant roles and littler parts, as all roles join to make an effective creation. Here in this article, we will discuss how to become an actor in India, actor exams, actor salary in India, and actor jobs.

4 Jobs Available

Individuals who opt for a career as acrobats create and direct original routines for themselves, in addition to developing interpretations of existing routines. The work of circus acrobats can be seen in a variety of performance settings, including circus, reality shows, sports events like the Olympics, movies and commercials. Individuals who opt for a career as acrobats must be prepared to face rejections and intermittent periods of work. The creativity of acrobats may extend to other aspects of the performance. For example, acrobats in the circus may work with gym trainers, celebrities or collaborate with other professionals to enhance such performance elements as costume and or maybe at the teaching end of the career.

3 Jobs Available

Career as a video game designer is filled with excitement as well as responsibilities. A video game designer is someone who is involved in the process of creating a game from day one. He or she is responsible for fulfilling duties like designing the character of the game, the several levels involved, plot, art and similar other elements. Individuals who opt for a career as a video game designer may also write the codes for the game using different programming languages. Depending on the video game designer job description and experience they may also have to lead a team and do the early testing of the game in order to suggest changes and find loopholes.

3 Jobs Available

The career as a Talent Agent is filled with responsibilities. A Talent Agent is someone who is involved in the pre-production process of the film. It is a very busy job for a Talent Agent but as and when an individual gains experience and progresses in the career he or she can have people assisting him or her in work. Depending on one’s responsibilities, number of clients and experience he or she may also have to lead a team and work with juniors under him or her in a talent agency. In order to know more about the job of a talent agent continue reading the article.

If you want to know more about talent agent meaning, how to become a Talent Agent, or Talent Agent job description then continue reading this article.

3 Jobs Available

Radio Jockey is an exciting, promising career and a great challenge for music lovers. If you are really interested in a career as radio jockey, then it is very important for an RJ to have an automatic, fun, and friendly personality. If you want to get a job done in this field, a strong command of the language and a good voice are always good things. Apart from this, in order to be a good radio jockey, you will also listen to good radio jockeys so that you can understand their style and later make your own by practicing.

A career as radio jockey has a lot to offer to deserving candidates. If you want to know more about a career as radio jockey, and how to become a radio jockey then continue reading the article.

3 Jobs Available

An individual who is pursuing a career as a producer is responsible for managing the business aspects of production. They are involved in each aspect of production from its inception to deception. Famous movie producers review the script, recommend changes and visualise the story.

They are responsible for overseeing the finance involved in the project and distributing the film for broadcasting on various platforms. A career as a producer is quite fulfilling as well as exhaustive in terms of playing different roles in order for a production to be successful. Famous movie producers are responsible for hiring creative and technical personnel on contract basis.

2 Jobs Available

Fashion bloggers use multiple social media platforms to recommend or share ideas related to fashion. A fashion blogger is a person who writes about fashion, publishes pictures of outfits, jewellery, accessories. Fashion blogger works as a model, journalist, and a stylist in the fashion industry. In current fashion times, these bloggers have crossed into becoming a star in fashion magazines, commercials, or campaigns.

2 Jobs Available

Photography is considered both a science and an art, an artistic means of expression in which the camera replaces the pen. In a career as a photographer, an individual is hired to capture the moments of public and private events, such as press conferences or weddings, or may also work inside a studio, where people go to get their picture clicked. Photography is divided into many streams each generating numerous career opportunities in photography. With the boom in advertising, media, and the fashion industry, photography has emerged as a lucrative and thrilling career option for many Indian youths.

2 Jobs Available

In a career as a copywriter, one has to consult with the client and understand the brief well. A career as a copywriter has a lot to offer to deserving candidates. Several new mediums of advertising are opening therefore making it a lucrative career choice. Students can pursue various copywriter courses such as Journalism, Advertising, Marketing Management. Here, we have discussed how to become a freelance copywriter, copywriter career path, how to become a copywriter in India, and copywriting career outlook.

5 Jobs Available

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion. Ever since internet cost got reduced the viewership for these types of content has increased on a large scale. Therefore, the career as vlogger has a lot to offer. If you want to know more about the career as vlogger, how to become a vlogger, so on and so forth then continue reading the article. Students can visit Jamia Millia Islamia, Asian College of Journalism, Indian Institute of Mass Communication to pursue journalism degrees.

3 Jobs Available

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available

Fashion journalism involves performing research and writing about the most recent fashion trends. Journalists obtain this knowledge by collaborating with stylists, conducting interviews with fashion designers, and attending fashion shows, photoshoots, and conferences. A fashion Journalist job is to write copy for trade and advertisement journals, fashion magazines, newspapers, and online fashion forums about style and fashion.

2 Jobs Available

A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications.

2 Jobs Available

Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

2 Jobs Available

3 Jobs Available

A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product.

A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

3 Jobs Available

Production Manager Job Description: A Production Manager is responsible for ensuring smooth running of manufacturing processes in an efficient manner. He or she plans and organises production schedules. The role of Production Manager involves estimation, negotiation on budget and timescales with the clients and managers.

Resource Links for Online MBA

3 Jobs Available

**Quality Assurance Manager Job Description:** A QA Manager is an administrative professional responsible for overseeing the activity of the QA department and staff. It involves developing, implementing and maintaining a system that is qualified and reliable for testing to meet specifications of products of organisations as well as development processes.

2 Jobs Available

A QA Lead is in charge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that he or she meets the quality standards. He or she develops, implements and manages test plans.

2 Jobs Available

Are you searching for a Reliability Engineer job description? A Reliability Engineer is responsible for ensuring long lasting and high quality products. He or she ensures that materials, manufacturing equipment, components and processes are error free. A Reliability Engineer role comes with the responsibility of minimising risks and effectiveness of processes and equipment.

2 Jobs Available

A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.

2 Jobs Available

2 Jobs Available

ITSM Manager is a professional responsible for heading the ITSM (Information Technology Service Management) or (Information Technology Infrastructure Library) processes. He or she ensures that operation management provides appropriate resource levels for problem resolutions. The ITSM Manager oversees the level of prioritisation for the problems, critical incidents, planned as well as proactive tasks.

3 Jobs Available

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack

3 Jobs Available

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available

3 Jobs Available

An IT Consultant is a professional who is also known as a technology consultant. He or she is required to provide consultation to industrial and commercial clients to resolve business and IT problems and acquire optimum growth. An IT consultant can find work by signing up with an IT consultancy firm, or he or she can work on their own as independent contractors and select the projects he or she wants to work on.

2 Jobs Available

A Data Architect role involves formulating the organisational data strategy. It involves data quality, flow of data within the organisation and security of data. The vision of Data Architect provides support to convert business requirements into technical requirements.

2 Jobs Available

The Security Engineer is responsible for overseeing and controlling the various aspects of a company's computer security. Individuals in the security engineer jobs include developing and implementing policies and procedures to protect the data and information of the organisation. In this article, we will discuss the security engineer job description, security engineer skills, security engineer course, and security engineer career path.

2 Jobs Available

A UX Architect is someone who influences the design processes and its outcomes. He or she possesses a solid understanding of user research, information architecture, interaction design and content strategy.

2 Jobs Available

Just Study 32% of the NEET syllabus and Score upto 100% marks

Thinking of Studying Abroad? Think the TOEFL® test & make your dreams come true

As per latest 2024 syllabus. Study 40% syllabus and score upto 100% marks in JEE

Solve NEET previous years question papers & check your preparedness

As per latest 2024 syllabus. Maths formulas, equations, & theorems of class 11 & 12th chapters

As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters

News and Notifications

22/09/2023, 02:01:05

21/09/2023, 17:04:41

21/09/2023, 11:34:59

21/09/2023, 11:15:37

21/09/2023, 05:22:28

20/09/2023, 17:20:17

Back to top