If the price of petrol is increased by 20 %,b | vedclass

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Question

(A) Let the original price of petrol be $100$ per unit and the original consumption be $100$ units.Original expenditure $= 100 	imes 100 = 10000$.Aft

Vedclass · Accepted Answer

$16.67$

Vedclass · Answer

(A) Let the original price of petrol be $100$ per unit and the original consumption be $100$ units.Original expenditure $= 100 	imes 100 = 10000$.After a $20 \%$ increase,the new price $= 120$ per unit.Let the new consumption be $x$ units.Since the expenditure remains unchanged,$120 	imes x = 10000$.$x = \frac{10000}{120} = \frac{250}{3} = 83.33 	ext{ units}$.Decrease in consumption $= 100 - 83.33 = 16.67 	ext{ units}$.Percentage decrease $= \frac{16.67}{100} 	imes 100 = 16.67 \%$,which is equal to $16 \frac{2}{3} \%$.

If the price of petrol is increased by $20 \%$,by what percentage should the consumption be decreased by the consumer,if the expenditure on petrol remains unchanged (in $\%$)?

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