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The number of seats in an auditorium is increased by 25%. The price of a ticket is also increased by 12%. Then the increase in revenue collection will be    (SSC CGL 1st Sit. 2012)
  • a)
    40%
  • b)
    35%
  • c)
    45%
  • d)
    48%
Correct answer is option 'A'. Can you explain this answer?
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The number of seats in an auditorium is increased by 25%. The price of...
Increase in Seats and Ticket Price:
- The number of seats in the auditorium is increased by 25%.
- The price of a ticket is increased by 12%.

Calculation:
Let's assume the original number of seats = 100 and the original ticket price = $10.
After the increase:
- Number of seats = 100 + 25% of 100 = 125
- Ticket price = $10 + 12% of $10 = $11.20

Revenue Calculation:
- Original revenue = 100 seats * $10 = $1000
- New revenue = 125 seats * $11.20 = $1400

Percentage Increase in Revenue:
- Increase in revenue = New revenue - Original revenue = $1400 - $1000 = $400
- Percentage increase = (Increase in revenue / Original revenue) * 100%
- Percentage increase = ($400 / $1000) * 100% = 40%
Therefore, the increase in revenue collection will be 40%.
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The number of seats in an auditorium is increased by 25%. The price of a ticket is also increased by 12%. Then the increase in revenue collection will be (SSC CGL 1st Sit. 2012)a)40%b)35%c)45%d)48%Correct answer is option 'A'. Can you explain this answer?
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