Quantitative Aptitude – Arithmetic – Percentages – In a village, the production
Quantitative Aptitude – Arithmetic – Percentages
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
Option (C)
Solution
From CAT 2017 – Quantitative Aptitude – Arithmetic – Percentages, we can see that,
The total production of food grains (Initial) = t
The total production of food grains (Final) = t’ = 1.4t
Population (Initial) = n
Population (Final) = n’
Per capita food production (Initial) = t/n
Per capita food production (Final) = t’/n’ = 1.4t/n’
1.4t/n’ = t/n
=> n’ = 140n/127
Population increased by [(140n/127 – n)/n] * 100 = 10% (Approximately)
Option C is the right answer.
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