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
Let the initial production be p, population be x and the initial per capita consumption be c.
As p = (c)(x),
x1c1/p1 = x2c2/p2
Finally, production became 1.4p and per capita consumption became 1.27c
xc/p = x2(1.27c)/1.4p
x2 = 1.4x/1.27
x2 = 1.102x
Therefore, population (x) increased by approximately 10%.
The correct option is C.