In a village, (5/8)th of the population are adults,half of the adults are male,(4/5)th of adult females are illiterate. if 400 females are illiterate, then the population of the village is?

2000
1500
1800
1600

Correct Answer: 1600

Explanation:

Let the population of village = N
Then, adult's population = 5N/8
and adult females = 1/2 x 5N/8 = 5N/16
∴ illiterate females = 4/5 of adult female population
⇒ 400 = 4/5 x 5N/16
⇒ N = (400 x 16)/4
∴ N = 1600

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