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The ratio between the original price of a movie ticket and increased price of the movie ticket is 10 : 13. What is the increase in the revenue of the
Question

The ratio between the original price of a movie ticket and increased price of the movie ticket is 10 : 13. What is the increase in the revenue of the cinema hall, if the original price of the movie ticket was Rs. 250 and total 3600 tickets were sold as per the maximum capacity of the cinema hall that is 3600 persons?

A.

Rs. 2,70,000

B.

Rs. 1,28,000

C.

Rs. 82,000

D.

Rs. 1,98,000

Correct option is A

Given:

The ratio between the original price and the increased price of the movie ticket is 10 : 13

The original price of the movie ticket is Rs. 250

The total number of tickets sold is 3600 (maximum capacity of the cinema hall)

We need to calculate the increase in revenue after the price increase

Solution:

the new ticket price:

250New Price=1013\frac{250}{\text{New Price}} = \frac{10}{13}​​

New Price = 250×1310\frac{250 \times 13}{10}​ = 325

Now,  the old and new revenues:

    Old Revenue = 250 × 3600 = 900000

    New Revenue = 325 × 3600 = 1170000

    Increase in Revenue = 1170000 - 900000 = 270000

    Thus, The increase in revenue is Rs. 270000

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