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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

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B

13

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C

10

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D

7

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Solution

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 = 100100 = 1 kg/person.
Food production after increase = 100×1.4 = 140 Per capita production of food grains after increase = 1×1.27 = 1.27
Population after increase = 1401.27 = 110
Percentage increase in population = (110100)100 = 10%


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