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What was the total amount of revenue that a theater received

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What was the total amount of revenue that a theater received [#permalink]

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New post 14 Dec 2012, 09:16
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What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

(1) x = 50
(2) Full-price tickets sold for $20 each.
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Re: What was the total amount of revenue that a theater received [#permalink]

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New post 14 Dec 2012, 09:22
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What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

To answer the question we should know:
(i) The number of tickets sold at a regular price;
(ii) The number of tickets sold at a reduced price;
(iii) The price of a regular ticket;
(iiii) The price of a reduced ticket.

(1) x = 50. Not sufficient.
(2) Full-price tickets sold for $20 each. We know (iii) only. Not sufficient.

(1)+(2) We only know (iii) and (iiii). Not sufficient.

Answer; E.
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Re: What was the total amount of revenue that a theater received [#permalink]

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New post 10 Jan 2014, 10:26
Walkabout wrote:
What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

(1) x = 50
(2) Full-price tickets sold for $20 each.



We are given A*(x/100 *y) + B*y = TR, and A + B = 400... Where A, B are the two types of tickets (full vs non-full price), and x is the percent of the full price (y).


1) Only solves for x, we still don't know A, B or y and thus we cannot solve for TR. Insufficient
2) Gives us y, but we don't know the value of x, A or B.. Insufficient


1 + 2: We've solved for the prices, but we don't know how many tickets have been sold for the reduced price.. 399 of the 400 could've been sold for half the price and then we would get a different TR than if 399 were sold at full price.. So, E.
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What was the total amount of revenue that a theater received [#permalink]

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New post 28 May 2014, 23:27
Let full price=F and no of tickets sold at full price=n

We need know the value of n*F+(400-n)*(x/100)F

1) gives value of only x. INSUF
2) gives value of only F. INSUF

1+2 --> give value of only x and F we still need 'n' INSUF
Ans E
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Re: What was the total amount of revenue that a theater received [#permalink]

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New post 03 Jan 2018, 09:02
Walkabout wrote:
What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

(1) x = 50
(2) Full-price tickets sold for $20 each.


We need to determine the revenue from the sale of 400 tickets. Some of the tickets were sold at the full price and the remainder of the tickets were sold at a reduced price. We can let f = the number tickets sold at full price and r = the number of tickets sold at the reduced price.

Statement One Alone:

x = 50

Without knowing how many tickets are sold at discount, we can’t determine the total revenue. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

The full-price ticket was $20.

Knowing only the price for a full-price ticket is not enough information to determine the total revenue of all tickets sold. Statement two alone is not sufficient to answer the question.

Statements One and Two Together:

From statements one and two, we know that the discounted tickets are sold at $10 each. However, without knowing the number of discounted tickets, we cannot determine the total revenue.

Answer: E
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Re: What was the total amount of revenue that a theater received [#permalink]

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New post 03 Jan 2018, 09:46
Walkabout wrote:
What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

(1) x = 50
(2) Full-price tickets sold for $20 each.


Total tickets = 400

Total revenue = Number of tickets sold * Price per ticket

We have two different prices and two different no. of tickets sold for thoses prices.

From st 1 : x (discounted price) = 50

Insufficient as we don't know how many tickets were sold at this price and also what is the price of full ticket.

From st 2 : Full ticket price = $ 20

We don't know how tickets were sold at this price. So Insufficient

Combining both will not give us the revenue as we don't know how many tickets were of discounted price and how many were of full price.

(E)
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Re: What was the total amount of revenue that a theater received   [#permalink] 03 Jan 2018, 09:46
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