There are two villages X and Y Number of females in village X and female in village Y is equal Numbe...........

Quantitative Aptitude(IBPS CL) Percentage

There are two villages X and Y. Number of females in village X and female in village Y is equal. Number of male in village Y is 25% less than the number of males in village X. If the number of females in village Y reduced by 50% and the number of males in village Y becomes 50% more than that of village X then total population of village Y will remain same. Find the ratio of total population of village X and village Y.

7 : 6

5 : 6

10 : 9

12 : 7

None of these

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Explanation:

Let the number of females in village X be a.
The number of females in village Y = a
The number of males in village X = b
The number of males in village Y = 0.75b
According to the data provided in the question, we get:
a × 0.50 + b × 1.50 = 0.75b + a
⇒ 0.50a + 1.5b = 0.75b + a
⇒ 0.50a = 0.75b
⇒ 2a = 3b
⇒ a = 1.5b…..(1)
Total population in village X = a + b = 1.5b + b = 2.5b (From equation 1)
Total population in village Y = a + 0.75b = 1.5b + 0.75b = 2.25b
Required ratio = 2.5b : 2.25b = 10 : 9