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 1

The Correct Option is C

The correct answer is (A):
Let the initial production be p, population be x and the initial per capita consumption be c.
As p = (c)(x), we can say-
(x1)(c1)/p1=(x2)(c2)/p2
Finally, production became 1.4p and per capita consumption became 1.27c.
(x)(c)/p=(x2)(1.27c)/1.4p⇒x2=(1.4x)/1.27=1.102x
Therefore, population (x) increased by approximately 10%.