Question

population of a village is eight thousand .If 6% men and 10%women are added,population becomes 8600 then number of men in a village was

Answer 1

Answer:

Population of a village is eight thousand. If 6% men and 10%women are added,population becomes 8600 then number of men in a village was?

The number of men in this village was 5000.

Step-by-step explanation:

If the number of men in the Village is x, then that of the women will be (8000 - x)

If 6% of men and 10% of women are added, the population becomes 8600

This means that the additional number is 8600 - 8000 = 600

Therefore 6% of number of men plus 10% number of women in the village is 600

= 6% x + 10%(800-x) = 600

= 6/100 x + 10/100(8000 - x) = 600

= 0.06x + 0.1(8000- x) = 600

= 0.06x + 800 - 0.1x = 600

= 0.06x - 0.1x = 600 - 800

= -0.04x = - 200

         x = - 200/-0.04

         x = 20000/4

         x = 5000

Therefore the number of men in that village was 5000

And the number of women = 8000 - 5000 = 3000