If by increasing the price of a ticket in the ratio 8 : 11 the number of tickets sold fall in the ratio 23 : 21 then what is the increase (… — Answer & Discussion

If by increasing the price of a ticket in the ratio 8 : 11 the number of tickets sold fall in the ratio 23 : 21 then what is the increase (in Rs.) in revenue if revenue before increase in price of ticket was Rs. 36,800?

A21250
B9400
C7850
D12850

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Discussion 1

CCommunity13 Jun 2019

Let the price of the ticket be 8x and revised price be 11x (Since the ratio given is 8 ? 11)

Number of tickets sold be 23y and revised number be 21y,

⇒ Revenue before increase in price = 8x × 23y = 184xy

⇒ Revenue after increase in price = 11x × 21y = 231xy

Given, 184xy = 36800

⇒ xy = 200

⇒ Increased revenue = 231xy = 231 × 200 = Rs. 46200

∴ Increase in revenue = 46200 - 36800 = Rs. 9400