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(C) Let the initial number of visitors be $100$.Original revenue $= 25 \ p 	imes 100 = 2500 \ p$.Discount on ticket price $= 20 \% 	ext{ of } 25 \ p

Vedclass · Accepted Answer

$60 \%$

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(C) Let the initial number of visitors be $100$.Original revenue $= 25 \ p 	imes 100 = 2500 \ p$.Discount on ticket price $= 20 \% 	ext{ of } 25 \ p = 5 \ p$.New ticket price $= 25 \ p - 5 \ p = 20 \ p$.Increase in total revenue $= 28 \% 	ext{ of } 2500 \ p = 0.28 	imes 2500 \ p = 700 \ p$.New total revenue $= 2500 \ p + 700 \ p = 3200 \ p$.New number of visitors $= \frac{	ext{New Revenue}}{	ext{New Price}} = \frac{3200 \ p}{20 \ p} = 160$.Percentage increase in the number of visitors $= \frac{160 - 100}{100} 	imes 100 = 60 \%$.

To attract more visitors,the zoo authority announces a $20 \%$ discount on every ticket,which costs $25 \ p$. For this reason,the sale of tickets increases by $28 \%$. Find the percentage of increase in the number of visitors.

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