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Edited By Ramraj Saini | Updated on Mar 31, 2024 09:31 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 2024-25. 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

- Download PDF
- 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.

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Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.

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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

Individuals who opt for a career as a remote sensing technician possess unique personalities. Remote sensing analysts seem to be rational human beings, they are strong, independent, persistent, sincere, realistic and resourceful. Some of them are analytical as well, which means they are intelligent, introspective and inquisitive.

Remote sensing scientists use remote sensing technology to support scientists in fields such as community planning, flight planning or the management of natural resources. Analysing data collected from aircraft, satellites or ground-based platforms using statistical analysis software, image analysis software or Geographic Information Systems (GIS) is a significant part of their work. Do you want to learn how to become remote sensing technician? There's no need to be concerned; we've devised a simple remote sensing technician career path for you. Scroll through the pages and read.

3 Jobs Available

Budget analysis, in a nutshell, entails thoroughly analyzing the details of a financial budget. The budget analysis aims to better understand and manage revenue. Budget analysts assist in the achievement of financial targets, the preservation of profitability, and the pursuit of long-term growth for a business. Budget analysts generally have a bachelor's degree in accounting, finance, economics, or a closely related field. Knowledge of Financial Management is of prime importance in this career.

4 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

An underwriter is a person who assesses and evaluates the risk of insurance in his or her field like mortgage, loan, health policy, investment, and so on and so forth. The underwriter career path does involve risks as analysing the risks means finding out if there is a way for the insurance underwriter jobs to recover the money from its clients. If the risk turns out to be too much for the company then in the future it is an underwriter who will be held accountable for it. Therefore, one must carry out his or her job with a lot of attention and diligence.

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

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

Individuals who opt for a career as a stock analyst examine the company's investments makes decisions and keep track of financial securities. The nature of such investments will differ from one business to the next. Individuals in the stock analyst career use data mining to forecast a company's profits and revenues, advise clients on whether to buy or sell, participate in seminars, and discussing financial matters with executives and evaluate annual reports.

2 Jobs Available

A Researcher is a professional who is responsible for collecting data and information by reviewing the literature and conducting experiments and surveys. He or she uses various methodological processes to provide accurate data and information that is utilised by academicians and other industry professionals. Here, we will discuss what is a researcher, the researcher's salary, types of researchers.

2 Jobs Available

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues.

5 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 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

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

A Conservation Architect is a professional responsible for conserving and restoring buildings or monuments having a historic value. He or she applies techniques to document and stabilise the object’s state without any further damage. A Conservation Architect restores the monuments and heritage buildings to bring them back to their original state.

2 Jobs Available

A Structural Engineer designs buildings, bridges, and other related structures. He or she analyzes the structures and makes sure the structures are strong enough to be used by the people. A career as a Structural Engineer requires working in the construction process. It comes under the civil engineering discipline. A Structure Engineer creates structural models with the help of computer-aided design software.

2 Jobs Available

**Highway Engineer Job Description: **A Highway Engineer is a civil engineer who specialises in planning and building thousands of miles of roads that support connectivity and allow transportation across the country. He or she ensures that traffic management schemes are effectively planned concerning economic sustainability and successful implementation.

2 Jobs Available

Are you searching for a Field Surveyor Job Description? A Field Surveyor is a professional responsible for conducting field surveys for various places or geographical conditions. He or she collects the required data and information as per the instructions given by senior officials.

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 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

The audiologist career involves audiology professionals who are responsible to treat hearing loss and proactively preventing the relevant damage. Individuals who opt for a career as an audiologist use various testing strategies with the aim to determine if someone has a normal sensitivity to sounds or not. After the identification of hearing loss, a hearing doctor is required to determine which sections of the hearing are affected, to what extent they are affected, and where the wound causing the hearing loss is found. As soon as the hearing loss is identified, the patients are provided with recommendations for interventions and rehabilitation such as hearing aids, cochlear implants, and appropriate medical referrals. While audiology is a branch of science that studies and researches hearing, balance, and related disorders.

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

Are you searching for an ‘Anatomist job description’? An Anatomist is a research professional who applies the laws of biological science to determine the ability of bodies of various living organisms including animals and humans to regenerate the damaged or destroyed organs. If you want to know what does an anatomist do, then read the entire article, where we will answer all your questions.

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

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

The word “choreography" actually comes from Greek words that mean “dance writing." Individuals who opt for a career as a choreographer create and direct original dances, in addition to developing interpretations of existing dances. A Choreographer dances and utilises his or her creativity in other aspects of dance performance. For example, he or she may work with the music director to select music or collaborate with other famous choreographers to enhance such performance elements as lighting, costume and set design.

2 Jobs Available

A career as social media manager involves implementing the company’s or brand’s marketing plan across all social media channels. Social media managers help in building or improving a brand’s or a company’s website traffic, build brand awareness, create and implement marketing and brand strategy. Social media managers are key to important social communication as well.

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

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

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

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 costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the 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

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

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

Individuals who opt for a career as a reporter may often be at work on national holidays and festivities. He or she pitches various story ideas and covers news stories in risky situations. Students can pursue a BMC (Bachelor of Mass Communication), B.M.M. (Bachelor of Mass Media), or MAJMC (MA in Journalism and Mass Communication) to become a reporter. While we sit at home reporters travel to locations to collect information that carries a news value.

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

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

5 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

3 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

2 Jobs Available

The Process Development Engineers design, implement, manufacture, mine, and other production systems using technical knowledge and expertise in the industry. They use computer modeling software to test technologies and machinery. An individual who is opting career as Process Development Engineer is responsible for developing cost-effective and efficient processes. They also monitor the production process and ensure it functions smoothly and efficiently.

2 Jobs Available

An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party.

4 Jobs Available

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems.

4 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

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

An Automation Test Engineer job involves executing automated test scripts. He or she identifies the project’s problems and troubleshoots them. The role involves documenting the defect using management tools. He or she works with the application team in order to resolve any issues arising during the testing process.

2 Jobs Available

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