Question

The population of a city is 155625. For every 1000 men, there are 1075 women. If $40\%$ of men and $24\%$ of women are literate, then what is the percentage of literate people in the city?

• A. $30\%$
• B. $32\%$
• C. $32\frac{10}{15}\%$
• D. $32\frac{59}{83}\%$

Answer 1

The correct option is D $32\frac{59}{83}\%$

Ratio of men and women $=1000:1075\Rightarrow 40:43$
Number of men in the total population $=\frac{40}{40+43}\times 155625$
$=\frac{40}{83}\times 155625$
$=75000$
Number of women in total population $=155625-75000=80625$
Number of literate men $=\frac{40}{100}\times 75000=30000$
Number of literate women $=\frac{24}{100}\times 80625=19350$
$\therefore$ Total number of literate people $=30000+19350=49350$
$\therefore$ Required % of literate people $=\frac{49350}{155625}\times 100=31\frac{59}{83}\%$