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The number of seats in a cinema hall is decreased by 8% and also the price of the ticket is increased by 4 percent. What is the effect on the revenue collected?
- a)increase 4.32%
- b)decrease 4.32%
- c)increase 3.32 percent
- d)decrease 3.32%
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The number of seats in a cinema hall is decreased by 8% and also the p...
Answer – b) decrease 4.32% Explanation : Let initially seats are 100 and price of each seat is 100, so total initial revenue = 10000
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568 so percent change in revenue = (432/10000)*100 = 4.32 decrease
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568 so percent change in revenue = (432/10000)*100 = 4.32 decrease
Most Upvoted Answer
The number of seats in a cinema hall is decreased by 8% and also the p...
Given data:
- Decrease in the number of seats = 8%
- Increase in ticket price = 4%
To find: Effect on revenue collected
Let's assume:
- Initially, the number of seats in the cinema hall = 100
- Initially, the price of each ticket = $10
- Initially, the total revenue collected = 100 * 10 = $1000
After the decrease in the number of seats, the new number of seats = 100 - 8% of 100 = 92
After the increase in ticket price, the new price of each ticket = $10 + 4% of $10 = $10.40
So, the new revenue collected = 92 * 10.40 = $956.80
Now, let's calculate the percentage change in revenue:
Percentage change in revenue = [(New revenue - Initial revenue)/Initial revenue] * 100
= [(956.80 - 1000)/1000] * 100
= -4.32%
Hence, the answer is option (b) - decrease 4.32%.
Explanation:
- Decrease in the number of seats leads to a decrease in the total number of tickets sold, which decreases the revenue.
- Increase in ticket price leads to an increase in revenue per ticket, but the overall revenue is still affected by the decrease in the number of seats.
- The percentage change in revenue is calculated using the formula [(New value - Initial value)/Initial value] * 100.
- As the new revenue is less than the initial revenue, the percentage change is negative, indicating a decrease in revenue.
- Decrease in the number of seats = 8%
- Increase in ticket price = 4%
To find: Effect on revenue collected
Let's assume:
- Initially, the number of seats in the cinema hall = 100
- Initially, the price of each ticket = $10
- Initially, the total revenue collected = 100 * 10 = $1000
After the decrease in the number of seats, the new number of seats = 100 - 8% of 100 = 92
After the increase in ticket price, the new price of each ticket = $10 + 4% of $10 = $10.40
So, the new revenue collected = 92 * 10.40 = $956.80
Now, let's calculate the percentage change in revenue:
Percentage change in revenue = [(New revenue - Initial revenue)/Initial revenue] * 100
= [(956.80 - 1000)/1000] * 100
= -4.32%
Hence, the answer is option (b) - decrease 4.32%.
Explanation:
- Decrease in the number of seats leads to a decrease in the total number of tickets sold, which decreases the revenue.
- Increase in ticket price leads to an increase in revenue per ticket, but the overall revenue is still affected by the decrease in the number of seats.
- The percentage change in revenue is calculated using the formula [(New value - Initial value)/Initial value] * 100.
- As the new revenue is less than the initial revenue, the percentage change is negative, indicating a decrease in revenue.
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The number of seats in a cinema hall is decreased by 8% and also the p...
Answer – b) decrease 4.32% Explanation : Let initially seats are 100 and price of each seat is 100, so total initial revenue = 10000
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568 so percent change in revenue = (432/10000)*100 = 4.32 decrease
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568 so percent change in revenue = (432/10000)*100 = 4.32 decrease
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The number of seats in a cinema hall is decreased by 8% and also the price of the ticket is increased by 4 percent. What is the effect on the revenue collected?a)increase 4.32%b)decrease 4.32%c)increase 3.32 percentd)decrease 3.32%e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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