Quantitative Aptitude Ques 813

Question: The number of seats in a cinema hall is increased by 25%. The cost of each ticket is also increased by 10%. The effect of these changes on the revenue collection will be an increase of

Options:

A) 37.5 %

B) 45.5%

C) 47.5%

D) 49.5%

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the number of seats initially in the cinema hall be 100 and the cast of each ticket be Rs. 100.

$ \therefore $ Total revenue $ =100\times 100=Rs\text{.}10000 $ In second condition, Number of seats $ =125 $ Cost of new ticket $ =Rs.110 $

$ \therefore $ New revenues $ =110\times 125=13750 $ Increase in revenue collection $ =Rs\text{.}\text{(13750}-1000)=Rs\text{.}3750 $

$ \therefore $ Percentage increase $ =\frac{3750}{10000}\times 100=37.5 $ %