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(D) Let the initial number be $100$.Step $1$: Increase the number by $20 \%$.New value $= 100 + (20 \% 	ext{ of } 100) = 100 + 20 = 120$.Step $2$: De

Vedclass · Accepted Answer

Decreases by $4 \%$

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(D) Let the initial number be $100$.Step $1$: Increase the number by $20 \%$.New value $= 100 + (20 \% 	ext{ of } 100) = 100 + 20 = 120$.Step $2$: Decrease the new value by $20 \%$.Final value $= 120 - (20 \% 	ext{ of } 120) = 120 - 24 = 96$.Step $3$: Calculate the net percentage change.Net change $= 	ext{Final value} - 	ext{Initial value} = 96 - 100 = -4$.Percentage change $= \left( \frac{-4}{100} ight) 	imes 100 = -4 \%$.The negative sign indicates a decrease of $4 \%$.

$A$ number is increased by $20 \%$ and then decreased by $20 \%$. What is the final percentage change in the number?

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