Question

In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate?
1. 20%
2. 25%
3. 50%
4. 75%

Answer 1

Correct Answer - Option 4 : 75%

Given:

In a city, 40% of the adults are illiterate while 85% of the children are literate. The

ratio of the adults to that of the children is 2 : 3

Calculations:

Let the total number of adults be 2x

And the total number of children be 3x

So, the total population = 2x + 3x = 5x

∵ 40% of the adults are illiterate, 

The number of adult literates = [(100 – 40)/100] × 2x = 1.2x

Also, the number of literate children = (85/100) × 3x = 2.55x

Hence, total number of literate population = 1.2x + 2.55x = 3.75x

So, the percentage of literate population = (3.75x/5x) × 100 = 75%

∴ The percentage of total literate population is 75%