In a town 80% of the population are adults of which the

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In a town 80% of the population are adults of which the men and women are in the ratio of 9 : 7, respectively. If the number of adult women is 4.2 lakh, what is the total population of the town ?

1. 12 lakh
2. 9.6 lakh
3. 9.8 lakh
4. 11.6 lakh

Correct Option: A

let the number of adult men be N.
Then, ratio of the numbers of adult men and adult women
9 : 7 = N : 4.2
⇒ N = (9/7) x 4.2 = 5.4 Lakh
Total adult population = 4.2 + 5.4 = 9.6 lakh.

If the population of the town be M Lakh,
then, 80M/100 = 9.6
⇒ M = (9.6 x 100)/80 = 12 lakh