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The ratio between the undergraduate and postgraduate population of a village is 8:5. The difference between the male and female population of the village is 110. The total undergraduate and male population of the village is 780. The female postgraduate population is 60% of the total postgraduate population of the village, and the male postgraduate population is 100. The ratio between the male population and postgraduate population of the village is

1. 5:7
2. 18:19
3. 25:36
4. 19:18

Correct answer: 18:19

Solution

Female postgraduates are 60% of total postgraduates, so male postgraduates are 40%. Given male postgraduates = 100, total postgraduates = 250. Using the given totals and the male-female difference, the male population comes out to 237. Hence the required ratio is 237:250 = 18:19.

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