Question 44: 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
16
13
10
7
Option: 3 Explanation:
Let initial population and production be x,y and final population be z Final production = 1.4y, final percapita = 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%