CAT 2017 Question Paper (Shift-2) - Quant Question 10

Question 10

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

Solution

Let initial population and production be x,y and final population be z
Final production = 1.4y, final percapita = 1.27 times initial percapita
=> $$\frac{1.4y}{z} $$ = $$ 1.27 \times \frac{y}{x}$$
=> $$\frac{z}{x} = \frac{1.4}{1.27} \approx 1.10$$
Hence the percentage increase in population = 10%


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Comments
Saloni Gaikwad

11 months, 1 week ago

sir the solution is 0.48 then how it is near to 10 ?

cracku

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