CAT 2017 Slot 2 QA Question & Solution
ArithmeticMedium
Question
In a village, the production of food grains increased by 40% and the per-capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to
Options
16
13
10
7
Solution
Let initial population and production be x,y and final population be z
Final production = 1.4y, final per-capita = 1.27 times initial percapita
=> $\frac{1.4y}{z}$ = $1.27 \times \frac{y}{x}$
=> $\frac{z}{x} = \frac{1.4}{1.27} \approx 1.10$
Hence the percentage increase in population = 10%