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Question 10 : 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

Video Explanation

Explanatory Answer

Method of solving this CAT Question from Percentages

Given that the production of food grains increased by 40%.
Let initial production be y and after increase it becomes 1.4x
Per capita production of food grains increased by 27%.
Per capita income = \\frac{production of food grains}{no.of people})
⟹ let the initial Per capita income be \\frac{x}{y}).
After increase it becomes 1.27[\\frac{x}{y})].

⟹ \\frac{1.4x}{?}) = 1.27[\\frac{x}{y})]
⟹ ? = \\frac{1.4}{1.27}) × y = 1.1y
Hence there is an increase of 10% in the population of the village.

The question is "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"

Hence, the answer is 10

Choice C is the correct answer