Question

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

• A. $30\%$
• B. $32\%$
• C. $32\frac{10}{15}\%$
• D. $31\frac{59}{83}\%$

Answer 1

The correct option is D

$31\frac{59}{83}\%$

Ratio of men and women = 1000 : 1075 $\Rightarrow$ 40 : 43

Total number of men in the population$=\frac{40}{40+43}\times 155625$

$=\frac{40}{83}\times 155625$

$=75000$

Total number of women in the population = 155625 – 75000 = 80625

No. of literate men $=\frac{40}{100}\times 75000=30000$

No. of literate women $=\frac{24}{100}\times 80625=19350$

$\therefore$ total number of literate people = 30000 + 19350 = 49350
$\therefore$ required % of literate people = $\frac{49350}{155625}\times 100=31\frac{59}{83}\%$