Question

The population of a city is 155625, for every 1000 men, there are 1075 women. If $40\%$ of men and $24\%$ of women be 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

No. of men in the total population$=\frac{40}{40+43}\times 155625$

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

$=75000$

No. of women in total population $=155625-7500=80625$
No. of literate men
$=\frac{40}{100}\times 75000=30000$

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

$\therefore$ Total no. of literate people
$=30000+19350=49350$

The percentage of literate people

$=\frac{49350}{155625}\times 100$

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