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Question

(A) Let the original price of the ticket be $P$ and the original number of visitors be $N$. The original revenue is $R_1 = P 	imes N$.After a $25 \%$

Vedclass · Accepted Answer

$2 \frac{1}{2} \% 	ext{ decrease}$

Vedclass · Answer

(A) Let the original price of the ticket be $P$ and the original number of visitors be $N$. The original revenue is $R_1 = P 	imes N$.After a $25 \%$ discount,the new price is $P' = P - 0.25P = 0.75P$.The number of visitors increases by $30 \%$,so the new number of visitors is $N' = N + 0.30N = 1.30N$.The new revenue is $R_2 = P' 	imes N' = (0.75P) 	imes (1.30N) = 0.975 	imes (P 	imes N) = 0.975R_1$.The change in revenue is $R_2 - R_1 = 0.975R_1 - R_1 = -0.025R_1$.This represents a decrease of $0.025 	imes 100 \% = 2.5 \%$,which is $2 \frac{1}{2} \% 	ext{ decrease}$.

After giving a $25 \%$ discount on the entry ticket,the number of visitors increased by $30 \%$. What will be the impact on the total revenue from entry tickets compared to other days?

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