CAT 2017 Question Paper | Quants Slot 2

CAT Questions

Quantitative Aptitude is generally a pain point for students carrying out their CAT Coaching Online.Quants can be conquered by conquering Arithmetic which forms about 50% of the section. The below question is on Percentages, and percentages is a crucial topic in Arithmetic. It not only helps you in the Quantitative Aptitude section but also in the DILR Section. Practice questions on percentages from CAT previous year paper to ace the questions in your CAT Exam2021. Lets start with one from CAT 2017 Question Paper.

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

1. 16
2. 13
3. 10
4. 7

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Percentages

Given that the production of food grains increased by 40%.
Let initial production be y and after increase it becomes 1.4x
Per capita production of food grains increased by 27%.
Per capita income = \\frac{production of food grains}{no.of people})
⟹ let the initial Per capita income be \\frac{x}{y}).
After increase it becomes 1.27[\\frac{x}{y})].

⟹ \\frac{1.4x}{?}) = 1.27[\\frac{x}{y})]
⟹ ? = \\frac{1.4}{1.27}) × y = 1.1y
Hence there is an increase of 10% in the population of the village.

The question is "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"

Hence, the answer is 10

Choice C is the correct answer

 

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