In a city 20 of the people are illiterate and 40 are poor Among the rich 10 are illiterate...........

Quantitative Aptitude (CDS) Percentage

In a city 20% of the people are illiterate and 40% are poor. Among the rich, 10% are illiterate. What percentage of the poor population is illiterate?

12%

20%

16%

14%

Explanation:

Let the total population be x. Then,
Poor population = 40/100x = 2/5x
illiterate population = 20/100x = 1/5x
Illiterate rich = 10% of (100 - 40)% of x
= 10/100 × 60/100 × x ) = 3x/50
Illiterate poor = (1/5 x - 3x/50) = 7x /50
Required percentage = (7x/50 × 5/2 x ×100)
= 14%