# NCERT Solutions for Math Exercises in the Classroom 7 8.2 | myCBSEguide (2023) ## myCBSEguide app

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install now ###### Question 1.Convert the given fractions into percentages:

(a) {tex}\frac{1}{8}{/tex}

(b) {text}\frac{5}{4}{/text}

(c) {tex}\frac{3}{{40}}{/tex}

(d) {tex}\frac{2}{7}{/tex}

Responder:

(a) {tex}\frac{1}{8}{/tex} = {tex}\frac{1}{8} \vezes 100\% = \frac{{25}}{2}\% {/ tex} = 12,5%

(b) {tex}\frac{5}{4}{/tex} = {tex}\frac{5}{4} \times 100\% = {/tex} 5 x 25 % = 125 %

(c) {tex}\frac{3}{{40}}{/tex} = {tex}\frac{3}{{40}} \times 100\% = \frac{3}{2} \times 5\% = \frac{{15}}{2}\% {/tex} = 7.5%

(d) {tex}\frac{2}{7}{/tex} = {tex}\frac{2}{7} \vezes 100\% = \frac{{200}}{7}\% = 28 \frac{4}{7}\% {/tex}

NCERT Solutions for Grade 7 Math Homework 8.2

###### question 2Convert the given decimals to percentages:

(a) 0,65

(b) 2.1

c) 0,02

(d) 12:35 p.m.

(Video) Comparing Quantities - Ex 8.2 | NCERT Maths Class 7 Chapter 8

Responder:

(a) 0,65 = {tex}\frac{{65}}{{100}} \times 100\% {/tex} = 65 %

(b) 0.02 = {tex}\frac{2}{{100}} \times 100\% {/tex} = 2%

NCERT Solutions for Grade 7 Math Homework 8.2

###### question 3Estimate how much of the numbers are colored to find the percentage that is colored: Responder:

(i) Colored part = {tex}\frac{1}{4}{/tex}

{tex}\hence {/tex} percentage of colored portion = {tex}\frac{1}{4} \times 100\% {/tex} = 25% (ii) Colored part = {tex}\frac{3}{5}{/tex}

{tex}\hence {/tex} percentage of colored portion = {tex}\frac{3}{5} \times 100\% {/tex} = 60% (iii) Colored part = {tex}\frac{3}{8}{/tex}

{tex}\hence {/tex} percentage of colored part = {tex}\frac{3}{8} \times 100\% {/tex} = {tex}\frac{3}{2} \times 25 \ %{/tex}

= 37,5% ###### question 4Meet:

(a) 15% of 250

(b) 1% of 1 hour

(c) 20% of 2500 rupees

(d) 75% of 1 kg

Responder:

(a) 15 % de 250 = {tex}\frac{{15}}{{100}} \times 250{/tex} = 15 x 2,5 = 37,5

(Video) Q.1, Ex.8.2 Chapter:8 Comparing Quantities | Ncert Maths Class 7 | Cbse

(b) 1% of 1 hour = 1% of 60 minutes = 1% of (60 x 60) seconds

= {tex}\frac{1}{{100}} \times 60 \times 60{/tex} = 6 x 6 = 36 segundos

(c) 20% de Rs. 2500 = {tex}\frac{{20}}{{100}} \times 2500{/tex} = 20 x 25 = Rs. 500

(d) 75 % de 1 kg = 75 % de 1000 g = {tex}\frac{{75}}{{100}} \times 1000{/tex} = 750 g = 0,750 kg

NCERT Solutions for Grade 7 Math Homework 8.2

###### question 5Find the complete set if:

(a) 5% of which is 600

(b) 12% of which is Rs. 1080

(c) 40% of which is 500 km

(d) 70% of which are 14 minutes

(e) 8% of which is 40 liters

Responder:

The total defined in the given questions is {tex}x{/tex}:

(a) 5 % de {tex}x{/tex} = 600 {tex} \Rightarrow {/tex} {tex}\frac{5}{{100}} \times x = 600{/tex}

{tex} \Rightarrow {/tex} {tex}x = \frac{{600 \times 100}}{5}{/tex} = 12.000

(b) 12 % de {tex}x{/tex} = Rs. 1080 {tex} \Rightarrow {/tex}{tex} \frac{{12}}{{100}} \times x = 1080{/tex}

{tex} \Rightarrow {/tex} {tex}x = \frac{{1080 \times 100}}{{12}}{/tex} = Rs. 9.000

(c) 40 % de {tex}x{/tex} = 500 km {tex} \Rightarrow {/tex} {tex}\frac{{40}}{{100}} \times x = 500{/tex}

{tex} \Rightarrow {/tex} {tex}x = \frac{{500 \times 100}}{{40}}{/tex} = 1.250 km

(d) 70 % de {tex}x{/tex} = 14 minutos {tex} \Rightarrow {/tex} {tex}\frac{{70}}{{100}} \times x = 14{/tex}

{tex} \Rightarrow {/tex} {tex}x = \frac{{14 \times 100}}{{70}}{/tex} = 20 minutos

(e) 8 % de {tex}x{/tex} = 40 litros {tex} \Rightarrow {/tex} {tex}\frac{8}{{100}} \times x = 40{/tex}

{tex} \Rightarrow {/tex} {tex}x = \frac{{40 \times 100}}{8}{/tex} = 500 litros

(Video) Class 11th Ex-8.2 Q 7 (Binomial Theorem ) Maths CBSE NCERT

NCERT Solutions for Grade 7 Math Homework 8.2

###### question 6Converts given percentages to decimal fractions and the simplest forms to fractions as well:

a) 25%

b) 150%

c) 20%

d) 5%

Responder:

 S. No. Percent fractions The simplest way decimal form (A) 25% {tex}\frac{{25}}{{100}}{/tex} {tex}\frac{1}{4}{/tex} 0,25 (B) 150% {tex}\frac{{150}}{{100}}{/tex} {tex}\frac{3}{2}{/tex} 1,5 (C) 20% {text}\frac{{20}}{{100}}{/text} {tex}\frac{1}{5}{/tex} 0,2 (D) 5% {text}\frac{5}{{100}}{/text} {text}\frac{1}{{20}}{/text} 0,05

NCERT Solutions for Grade 7 Math Homework 8.2

###### question 7In a city, 30% are women, 40% are men, and the rest are children. What percentage are children?

Responder:

Data: proportion of women = 30%

Percentage of men = 40%

Total percentage of women and men = 30 + 40 = 70%

Percentage of Children = Total Percentage – Percentage of Men and Women

= 100% - 70%

= 30%

Therefore, 30% are children.

NCERT Solutions for Grade 7 Math Homework 8.2

###### question 8Out of 15,000 voters in a constituency, 60% cast ballots. Find the percentage of voters who did not vote. Now find out how many actually didn't vote.

Responder:

Total voters = 15,000

Percentage of elected candidates = 60%

Percentage of unsuccessful candidates = 100 – 60 = 40%

Actual candidates who did not vote = 40% of 15,000

= {tex}\frac{{40}}{{100}} \times 15000{/tex} = 6.000

(Video) Class 7 Maths Chapter 2 l NCERT EXERCISE-8.2 l Campering Quantities l CBSE Board l Solution l 7th

As a result, 6,000 candidates did not vote.

NCERT Solutions for Grade 7 Math Homework 8.2

###### question 9Meeta saves 400 rupees from her salary. If that's 10% of your salary. what is your salary

Responder:

Meera's salary is Rs.{tex}x.{/tex}

Now 10% of salary = 400 rupees

{tex} \Rightarrow {/tex} 10% de {tex}x{/tex} = Rs. 400

{tex} \Rightarrow {/tex} {tex} \frac{{10}}{{100}} \times x = 400{/tex}

{tex} \Rightarrow {/tex} {tex}x = \frac{{400 \times 100}}{{10}}{/tex}

{tex} \Rightarrow {/tex} {tex}x = {/tex} 4.000

Therefore, Meera's salary is Rs 4000.

NCERT Solutions for Grade 7 Math Homework 8.2

###### question 10A local cricket team played 20 matches in one season. He won 25% of them. How many games have they won?

Responder:

Number of matches played by cricket team = 20

Game winning percentage = 25%

Total number of games won = 25% of 20

= {tex}\frac{{25}}{{100}} \times 20{/tex}

= 5

Thus, they won 5 games.

## NCERT Solutions for Grade 7 Math Homework 8.2

NCERT Solutions Class 7 Maths PDF (Download) Free in the myCBSEguide app and on the myCBSEguide website. Ncert Solution Class 7 Maths contains textbook solutions from Class 7 Maths Book. NCERT Solutions for CBSE Class 7 Maths has a total of 15 chapters. 7 NCERT math solutions in PDF format for free download from our website. Class 7 Ncert Maths PDF Solutions and Class 7 Ncert Maths PDF Solutions with the latest changes and according to the latest CBSE Syllabus are only available on myCBSEguide.

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