Multiple choice

Directions: Solve the following question and mark the best possible option. 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

  1. 16

  2. 13

  3. 10

  4. 7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let P be population, G be total grain, and C be per capita grain. C = G/P. New C' = 1.27C, New G' = 1.40G. New P' = G'/C' = 1.40G / 1.27C = (1.40/1.27) * P = 1.102P. The increase is approximately 10%.

AI explanation

Let the initial total production be 100 and the initial population be 100, giving an initial per capita production of 1. The new total production becomes 140, and the new per capita production becomes 1.27. This means the new population is 140 divided by 1.27, which is approximately 110.24. Therefore, the percentage increase in population is approximately 10 percent.

Keep practicing — related questions