# PERCENTAGE

## 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 :

1m=100cm = 10%

(ii) 4 kg of 120 kg

Sol :  (iii) Sol :    = 25%

QUESTION 6

Find the following amounts.

(i) 12% of 600

Sol: =12×6

= 72

(ii) of 2400 people

Sol :    = 800 peoples

(iii) 48% of 1 litre

Sol :

1l = 100ml = 48×10 ml

= 480 ml

(iv) of 3kg 500g

Sol:

1 kg = 1000 g

3 kg = 3000g

3 kg 500 g = 3000 + 500 g

3 kg 500 g = 3500 g    = 250 g

QUESTION 7

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

Sol :

Original length 2.4 m

A.T.Q

Length increased by 2% = 0.048 m

New length = Original Length + Length increased by 2%

= 2.4m + 0.048m

= 2.448 m

Hence , new length is equal to 2.448m

QUESTION 8

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

Sol :

Original Price = 3000

During sale price reduced by 40% = 4×300

= 1200

New Price = Original Price – 40%

= 3000 – 1200

= 1800

QUESTION 9

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

Sol :

Error = 85 – 65 = 20

Percentage error   QUESTION 10

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

Sol :

Let the original salary be 100

Increase in salary is 15% of 100 = 15

New salary be 115

When new salary are 115 , original salary are 100

When new salary are 16100 , original salary are = 14000

ALTERNATE METHOD      Principal = 14000

Insert math as
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