Question

Population of a district is $296000$ out of which $166000$ are males. $50\%$ of the population is litereate. If $70\%$ males are literate the number of women who are literate is

• A. $32,200$
• B. $31,800$
• C. $66,400$
• D. $48,000$

Answer 1

The correct option is B $31,800$

$\Rightarrow$ Total population is $296000.$

$\Rightarrow$ Number of males is $166000.$

$\Rightarrow$ Number of females $=296000-166000=130000$

$\Rightarrow$ It is given that $50\%$ of population are literate then,

$\Rightarrow$ Number of literate people = $\frac{50}{100}\times 296000=148000$

$\Rightarrow$ Also given that $70\%$ males are literate. Then,

$\Rightarrow$ Number of literate males = $\frac{70}{100}\times 166000=116200$

$\Rightarrow$ Now,

$\Rightarrow$ Number of literate females = Literate people - Literate males

$\Rightarrow$ Number of literate females = $148000-116200$

$\therefore$ Number of literate females are $31,800$.