The price of a shirt is increased by 15 % and | vedclass

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Question

(C) Let the initial price of the shirt be $P = 100$.After an increase of $15 \%$,the new price becomes $100 + 15 = 115$.After a reduction of $15 \%$ o

Vedclass · Accepted Answer

decreases by $2.25 \%$

Vedclass · Answer

(C) Let the initial price of the shirt be $P = 100$.After an increase of $15 \%$,the new price becomes $100 + 15 = 115$.After a reduction of $15 \%$ on the new price,the final price is $115 - (15 \% 	ext{ of } 115) = 115 - 17.25 = 97.75$.The net change is $97.75 - 100 = -2.25$.Therefore,the price decreases by $2.25 \%$.Alternatively,using the net percentage change formula: $	ext{Net change} = \left(x + y + \frac{xy}{100}ight) \% = \left(15 - 15 - \frac{15 	imes 15}{100}ight) \% = -2.25 \%$.

The price of a shirt is increased by $15 \%$ and then reduced by $15 \%$. The final price of the shirt

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