If the price of apples goes down by 10 %, fin | vedclass

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Question

(C) Let the original price of apples be $P$ and the original consumption be $C$.Original expenditure = $P 	imes C$.New price = $P - 10\% 	ext{ of }

Vedclass · Accepted Answer

$11 \frac{1}{9} \%$

Vedclass · Answer

(C) Let the original price of apples be $P$ and the original consumption be $C$.Original expenditure = $P 	imes C$.New price = $P - 10\% 	ext{ of } P = 0.9P$.Let the new consumption be $C'$.Since the expenditure remains the same,$P 	imes C = 0.9P 	imes C'$.$C' = \frac{P 	imes C}{0.9P} = \frac{C}{0.9} = \frac{10}{9}C$.Increase in consumption = $C' - C = \frac{10}{9}C - C = \frac{1}{9}C$.Percentage increase in consumption = $\left( \frac{\frac{1}{9}C}{C} 	imes 100 ight) \% = \frac{100}{9} \% = 11 \frac{1}{9} \%$.

If the price of apples goes down by $10 \%,$ find the percentage of increase that a family should effect in its consumption so as not to increase expenditure on this account.

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