When the price of an article is reduced by 15 | vedclass

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Question

(B) We have,$	ext{Receipts} = 	ext{Price} 	imes 	ext{Sales}$.Let the initial price be $100$ and initial sales be $100$. Initial receipts $= 100

Vedclass · Accepted Answer

$14 \frac{3}{4} \%$ increase

Vedclass · Answer

(B) We have,$	ext{Receipts} = 	ext{Price} 	imes 	ext{Sales}$.Let the initial price be $100$ and initial sales be $100$. Initial receipts $= 100 	imes 100 = 10000$.New price $= 100 - 15 = 85$.New sales $= 100 + 35 = 135$.New receipts $= 85 	imes 135 = 11475$.Change in receipts $= 11475 - 10000 = 1475$.Percentage change $= \frac{1475}{10000} 	imes 100 = 14.75 \% = 14 \frac{3}{4} \%$.Alternatively,using the net percentage change formula: $\left(x + y + \frac{xy}{100}ight) \%$.Here,$x = -15$ and $y = 35$.Net change $= -15 + 35 + \frac{(-15 	imes 35)}{100} = 20 - 5.25 = 14.75 \% = 14 \frac{3}{4} \%$ increase.

When the price of an article is reduced by $15 \%$,the sales increase by $35 \%$. The percentage change in the total amount of receipts is:

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