Exams › IBPS PO › Quantitative Aptitude
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. The male postgraduate population of the village is 100. The female undergraduate population of the village is approximately what percent less than the male undergraduate population of the village?
- 57%
- 32%
- 33%
- 34%
Correct answer: 57%
Solution
From male postgraduate = 100 and female postgraduate = 60% of total postgraduate, total postgraduate = 250 and female postgraduate = 150. Using the 8:5 ratio, undergraduate population = 400. Then total male = 780 - 400 = 380, so female = 270; hence male undergraduate = 380 - 100 = 280 and female undergraduate = 400 - 280 = 120. The female undergraduate population is \((280-120)/280 \times 100 \approx 57\%\) less than the male undergraduate population.
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