Question

Of the $1000$ inhabitants of a town, $60\%$ are males of whom $20\%$ are literate. If, of all the inhabitants, $25\%$ are literate, then what percent of the females of the town are literate?

• A. $22.5$
• B. $27.5$
• C. $32.5$
• D. $37.5$

Answer 1

The correct option is C $32.5$

Percentage of male$=60\%$

Percentage of literate male$=60\%\times 20\%=12\%$

No. of literate male$=12\%\times 1000=120$

Percentage of literate person$=25\%$

No. of literate person$=25\%\times 1000=250$

No. of literate female$=250-120=130$

Percentage of male$=100\%-60\%=40\%$

No. of female$=40\%\times 1000=400$

Percentage of literate female$=\frac{130}{400}\times 100=32.5\%$