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
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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 = production of food grains/no. of people
⟹ let the initial Per capita income be x/y.
After increase it becomes 1.27[x/y].
⟹ 1.4x/? = 1.27[x/y]
⟹ ? = 1.4/1.27 × y = 1.1y
Hence there is an increase of 10% in the population of the village.
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10%
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