Percentage

Category : 7th Class Introduction

Percentage is a fraction whose denominator is 100. The numerator of the such fraction is called the rate percent. For example 15 percent means $\frac{15}{100}$ and denoted by 15 %. Percentage

a % means $\frac{a}{100}$ and simplify it. e.g.  $45%=\frac{45}{100}=\frac{9}{20}$

For conversion of fraction $\frac{p}{q}$ as percentage, we simply multiply it by 100 and put the sign of % or mathematically we can write $\frac{p}{q}=\left( \frac{p}{q}\times 100 \right)%$ The population of a village is $4500.{{\left( \frac{11}{18} \right)}^{th}}$ of them are males and the rest are females. If 40 % of the females are married, then the number of married females is:

(a) 1750

(b) 700

(c) 750

(d) 900

(e) None of these

Explanation

No. of males$=\frac{11}{18}\times 4500=2750$

No. of females $=\text{ }4500-2750=1750$

Thus no. of married females

$=\text{ }40\text{ }%\text{ }\times 1750=700$ In a class of 38 girls, 3 are absent, 20 % of the remainder have failed to do the home work. Find the number of girls who did their homework.

(a) 7

(b) 25

(c) 28

(d) 30

(e) None of these

Solution: (c)

No. of girls present $=38-3=35$

No. of girls who did not do home work $=20%\times 35=7$

No. of girls who did their home work $=35-7=28.$

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