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**EXERCISE 7 (A)**

QUESTION 1

**Write each of these percentages as a fraction and a decimal.**

**(i) 15%**

Sol :

= 0.15

**(ii) 84%**

Sol :

= 0.84

**(iii) 12.5%**

Sol :

= 0.125

**(iv) 120%**

Sol :

= 1.2

**(v) **

Sol :

= 0.33

QUESTION 2

**Write each of the following as percentages.**

**(i) **

**Sol :**

= 60 %

**(ii) **

Sol :

= 95 %

**(iii) **

**Sol :**

**(iv) 0.95**

Sol :

= 95 %

**(v) 2.575**

Sol :

= 257.5 %

QUESTION 3

**Express each of the following ratios as percents.**

**(i) 1 : 4**

Sol :

= 25%

**(ii) 11 : 20**

Sol :

= 55 %

**(iii) 21 : 40**

Sol :

QUESTION 4

**Express each of the following percents as ratios.**

**(i) 45%**

Sol :

or 9 : 20

**(ii) **

Sol :

or 1 : 6

**(iii) 130%**

Sol :

or 13 : 10

QUESTION 5

**Express the first quantity as a percentage of the second quantity.**

**(i) 10 cm of 1 m**

Sol :

**(ii) 4 kg of 120 kg**

Sol :

**(iii) of **

Sol :

QUESTION 6

**Find the following amounts.**

**(i) 12% of 600**

**(ii) of 2400 people**

**(iii) 48% of 1 litre**

**(iv) of 3 kg 500 g**

QUESTION 7

**A metal bar is 2.4 meters long.After heating its length increases by 2%.What is the new length?**

Sol :

QUESTION 8

**A pair of shoes costs ₹ 3000.During sale, its price reduced by 40%.What is the new price after reduction?**

Sol :

QUESTION 9

**Piyush’s marks in Mathematics were wrongly read as 65 instead of 85.What is the percentage error in the marks?**

Sol :

QUESTION 10

**A man gets a 15% hike salary.If his new salary is ₹ 16,100.What was his original salary?**

Sol :

**EXERCISE 7 (B)**

**1.What percent of a day is the time duration of 3 hours?**

**2.About 67% of a human body’s total weight is water.If Aparna weights 70 kg, how much of her weight is water?**

**3.A person’s salary increases from ₹ 7,200 to ₹ 8,100.What is the percentage increase in his salary?**

**4.A fruit seller had some apples.He sells 40% apples and still has 420 apples.How many apples did he originally have?**

**5.A water pipe is cut into pieces.The longer piece is 70% of the length of the pipe.By how much percent is the longer piece longer than the shorter piece?**

**6.If a number is increased by 20% and the resulting number is again increased by 20%, what percent is the total increase?**

**7.If A’s income is 50% less than that of B, then B’s income is what percent more than that of A?**

**8.If the price of petrol be raised by 20%, then what is the percentage by which a car owner must reduce its consumption so as not to increase his expenditure on petrol?**

**9.In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed the examination.What is the percentage of candidates who failed?**

**10.A candidate who scores 30% fails by 5 marks, while another candidate who scores 40% marks get 10 more than minimum pass marks.What are the minimum pass marks required to pass?**

**11.Out of his income, Mr.Raj spends 20% on house rents and 70% of the rest on household expenditure.If he saves ₹ 3,600 per month, then what is his total income per month?**