__PERCENTAGE__

__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