MBApyq

Village Food Grain Production and Population Growth

CAT 2017 Slot 2 · Quantitative Ability · Medium · Percentages

This is a medium Quantitative Ability question from the CAT 2017 Slot 2 paper. It tests Percentages. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

All CAT 2017 Slot 2 questionsMore Percentages questionsAll CAT QA

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

  1. A.

    16

  2. B.

    13

  3. C.

    10

  4. D.

    7

Answer

C

Explanation

Per capita production = Total ProductionPopulation\frac{\text{Total Production}}{\text{Population}}.

Let initial production = PP, population = NN. New production = 1.40P1.40P. New per capita production = 1.27×PN1.27 \times \frac{P}{N}.

Let new population = N′N'. 1.40PN′=1.27×PN  ⟹  N′N=1.401.27≈1.10236\frac{1.40P}{N'} = 1.27 \times \frac{P}{N} \implies \frac{N'}{N} = \frac{1.40}{1.27} \approx 1.10236

Percentage increase in population ≈10.23%≈10%\approx 10.23\% \approx 10\%.

Related Percentages questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace