The price of petrol went up by 20 %. In order | vedclass

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Question

(D) Let the original price of petrol be $P$ and the original consumption be $C$. The original expenditure is $E = P 	imes C$.If the price increases b

Vedclass · Accepted Answer

$16.67$

Vedclass · Answer

(D) Let the original price of petrol be $P$ and the original consumption be $C$. The original expenditure is $E = P 	imes C$.If the price increases by $20 \%$,the new price $P' = P + 0.20P = 1.20P = \frac{6}{5}P$.To keep the expenditure $E$ constant,let the new consumption be $C'$.$P 	imes C = P' 	imes C'$$P 	imes C = (\frac{6}{5}P) 	imes C'$$C' = \frac{5}{6}C$.The reduction in consumption (travel) is $C - C' = C - \frac{5}{6}C = \frac{1}{6}C$.Percentage reduction $= (\frac{1/6}{1}) 	imes 100 = 16.67 \%$.

The price of petrol went up by $20 \%$. In order to keep expenses the same,Ram must reduce travel by: (in $\%$)

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