Question : By increasing the price of a ticket in the ratio of 8 : 11, the number of tickets sold falls by the ratio of 23 : 21. What is the increase (in Rs) in revenue, if revenue before the increase in the price of the ticket was Rs. 36800?
Option 1: 21250
Option 2: 9400
Option 3: 7850
Option 4: 12850
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Correct Answer: 9400
Solution :
Given:
By increasing the price of a ticket in the ratio of 8 : 11, the number of tickets sold falls by the ratio of 23 : 21.
Let the price of the tickets be $8x$ and $11x$ and the sales of tickets be $23y$ and $21y$.
Initial revenue = $23y × 8x$
As per the question, $(8x × 23y) = 36800$
⇒ $xy = 200$
So, new revenue $= 21y× 11x = 11 × 21 × xy = (11 × 21 × 200) =46200$
Therefore, increase in revenue = (46200 – 36800) = Rs. 9400
Hence, the correct answer is 9400.
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