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

• A. 16
• B. 13
• C. 10
• D. 7

Answer 1

The correct option is C

10

Let the total production of food grains be 100 and total population be 100.
Then, per capita production of food grains = $\frac{100}{100}$ = 1 kg/person.
Food production after increase = $100\times 1.4$ = 140 Per capita production of food grains after increase = $1\times 1.27$ = 1.27
Population after increase = $\frac{140}{1.27}$ = 110
Percentage increase in population = $\frac{(110-100)}{100}$ = 10%