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install nowNCERT Answers for Grade 7 Math Exercise 8.2 Book Answers are available in PDF format for free download. This chapter by chapter Ncert book question and answer is very helpful for CBSE exam. CBSE recommends NCERT textbooks and most of the CBSE exam questions are from NCERT textbooks. Grade 7 Math Chapter by Chapter NCERT Solution for Math Book All chapters can be downloaded for free from our website and the myCBSEguide mobile app.

**NCERT solutions for comparing mathematical quantities****Download as PDF**

## NCERT Answers for 7th Grade Math Set Comparison

**Grade Mathematics – VII (Ex. 8.2)**

**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 2**Convert the given decimals to percentages:

(a) 0,65

(b) 2.1

c) 0,02

(d) 12:35 p.m.

**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 3**Estimate 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 4**Meet:

(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

(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 5**Find 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

NCERT Solutions for Grade 7 Math Homework 8.2

**question 6**Converts 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 7**In 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 8**Out 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

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

NCERT Solutions for Grade 7 Math Homework 8.2

**question 9**Meeta 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 10**A 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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