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(D) Let the initial price of the book be $P = 100$.After a $25 \%$ decrease,the new price becomes $100 - (25 \% 	ext{ of } 100) = 100 - 25 = 75$.Afte

Vedclass · Accepted Answer

$10 \% \ decrease$

Vedclass · Answer

(D) Let the initial price of the book be $P = 100$.After a $25 \%$ decrease,the new price becomes $100 - (25 \% 	ext{ of } 100) = 100 - 25 = 75$.After a $20 \%$ increase on the new price,the final price becomes $75 + (20 \% 	ext{ of } 75) = 75 + 15 = 90$.The net change is $90 - 100 = -10$,which represents a $10 \%$ decrease.Alternatively,using the net percentage change formula: $	ext{Net change} = (x + y + \frac{xy}{100}) \%$,where $x = -25$ and $y = +20$.Net change $= (-25 + 20 + \frac{-25 	imes 20}{100}) \% = (-5 - 5) \% = -10 \%$,which is a $10 \% 	ext{ decrease}$.

If the price of a book is first decreased by $25 \%$ and then increased by $20 \%,$ then the net change in the price will be

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