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Cardinal Properties

If the price ...

Question

If the price of gas is increased by 20 %, by how much % must a housewife reduce her consumption of gas, so as to have no extra expenditure?

A

16 \frac{2}{3} %

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B

25 %

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C

20 %

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D

50 %

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Solution

The correct option is C $16 \frac{2}{3} %$
% decrease in consumption
$= \frac{100 \times P}{100 + P}$

$= \frac{100 \times 20}{100 + 20} = 16 \frac{2}{3} %$

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