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SSC CHSL 2021 PYQ — Question 64

SSC CHSL - 16 April 2021 - Shift 1 • Quantitative Aptitude • Q64

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The expenditure on food is 35% of the income of a particular family. If the income is raised by 30%, then how much percentage (to the nearest whole number) of food expenditure is less than the initial percentage to keep the food expenditure unchanged?

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 23.

Explanation:

Let the income of the family be 100 units.

Food expenditure = 35% of 100 = 35 units

Income of the family after increment = 130% of 100 = 130 units

Percentage expenditure = 35130×100{35 \over 130} \times 100 = 26.9% ≈ 27%

So, percentage difference = (35−27)35×100{(35 - 27) \over 35} \times 100  = 23%

Hence the required answer is 23%.