The population of a village is eight thousand. If 6 % men and 10 % women are added population becomes 8600, then no of men in the village was ?



The population of a village is eight thousand. If 6 % men and 10 % women are added population becomes 8600, then no of men in the village was ?

A. 800

B. 5000

C. 5060

D. 6000

Answer : B. 5000


Explanation:

    Let the number of men in the village is x.
    Number of women in the village is (8000 - x)
    If 6% men and 10% women are added population becomes 8600,
    x(106 / 100) + (8000 - x) (110 / 100) = 8600
    [(110 - 106) / 100] * x = 8800 - 8600
    x = 200 * 100 / 4 = 5000
    Hence the number of men in the village is 5000.


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