NCERT Solutions
Class 7 Maths
Comparing Quantities
Electric charges

Ex.8.1 Q.1

Find the ratio of:

(a) ₹5 to 50 paise                        

(b) 15 kg to 210 g                     

(c) 9 m to 27 cm        

(d) 30 days to 36 hours

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Ex.8.1 Q.2

In a computer lab, there are 3 computers for every 6 students.

How many computers will be needed for 24 students?

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Ex.8.1 Q.3

Population of Rajasthan = 570 lakhs and population of U.P. = 1660 lakhs.

Area of Rajasthan = 3 lakh km2 and area of U.P. = 2 lakh km2.

(i) How many people are there per km2 in both states?

(ii) Which state is less populated?

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Ex.8.2 Q.1

Convert the given fractional numbers to percent:

(a)                       

(b)                  

(c)                     

(d)

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Ex.8.2 Q.2

Convert the given decimal fractions to per cents:

(a) 0.65                  

(b) 2.1                    

(c) 0.02                        

(d) 12.35

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Ex.8.2 Q.3

Estimate what part of the figures is coloured and hence find the percent which is coloured.

                     1.jpg

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Ex.8.2 Q.4

Find:

(a) 15% of 250        

(b) 1% of 1 hour          

(c) 20% of ₹2500          

(d) 75% of 1 kg

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Ex.8.2 Q.5

Find the whole quantity if:

(a) 5% of it is 600               

(b) 12% of it is ₹1080                

 (c) 40% of it is 500 km

(d) 70% of it is 14 minutes        

(e) 8% of it is 40 litres

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Ex.8.2 Q.6

Convert given per cents to decimal fractions and also to fractions in simplest forms:

(a) 25%                

(b) 150%              

(c) 20%                

(d) 5%

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Ex.8.2 Q.7

In a city, 30% are females, 40% are males and remaining are children. What percent are children?

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Ex.8.2 Q.8

Out of 15,000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote.

Can you now find how many actually did not vote?

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Ex.8.2 Q.9

Meeta saves ₹ 400 from her salary. If this is 10% of her salary, what is her salary?

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Ex.8.2 Q.10

A local cricket team played 20 matches in one season. It won 25% of them.

How many matches did they win?

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Ex.8.3 Q.1

Tell what is the profit or loss in the following transactions.

Also find profit percent or loss percent in each case.

(a) Gardening shears bought for ₹ 250 and sold for ₹ 325.

(b) A refrigerator bought ₹12,000 and sold at ₹ 13,500.

(c) A cupboard bought for ₹ 2,500 and sold at ₹ 3,000.

(d) A skirt bought for ₹ 250 and sold at ₹ 150.

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Ex.8.3 Q.2

Convert each part of the ratio to percentage:

(a) 3 : 1               

(b) 2 : 3 : 5                  

(c) 1 : 4                     

(d) 1 : 2 : 5

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Ex.8.3 Q.3

The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.

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Ex.8.3 Q.4

Arun bought a car for ₹3,50,000. The next year, the price went up to ₹3,70,000.

What was the percentage of price increase?

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Ex.8.2 Q.5

I buy a T.V. for ₹10,000 and sell it at a profit of 20%. How much money do I get for it?

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Ex.8.3 Q.6

Juhi sells a washing machine for ₹13,500. She loses 20% in the bargain.

What was the price at which she bought it?

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Ex.8.3 Q.7

(i) Chalk contains Calcium, Carbon and Oxygen in the ratio 10:3:12. Find the percentage of Carbon in chalk.

(ii) If in a stick of chalk, Carbon is 3 g, what is the weight of the chalk stick?

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Ex.8.3 Q.8

Amina buys a book for ₹275 and sells it at a loss of 15%. How much does she sell it for?

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Ex.8.3 Q.9

Find the amount to be paid at the end of 3 years in each case:

(a) Principal = ₹1,200 at 12% p.a.               

(b) Principal = ₹ 7,500 at 5% p.a.

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Ex.8.3 Q.10

What rate gives ₹ 280 as interest on a sum of ₹ 56,000 in 2 years?

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Ex.8.3 Q.11

If Meena gives an interest of ₹45 for one year at 9% rate p.a.

What is the sum she has borrowed?

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Complete NCERT Solutions: Classes 6 to 12, All Chapters

NCERT Solution for class 6
NCERT Solution for class 7
NCERT Solution for class 8
NCERT Solution for class 9
NCERT Solution for class 10
NCERT Solution for class 11
NCERT Solution for class 12

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