• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code ## OG2016 DS What was the revenue tagged by: ceilidh.erickson This topic has 3 expert replies and 0 member replies lionsshare Senior | Next Rank: 100 Posts Joined 09 Aug 2017 Posted: 62 messages #### OG2016 DS What was the revenue Mon Aug 28, 2017 3:51 pm Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced price? (1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold. (2) The full price of a ticket was$25.

OA: E

Hello, Experts. Can you please share how to solve this problem.

Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

### GMAT/MBA Expert

ceilidh.erickson GMAT Instructor
Joined
04 Dec 2012
Posted:
1633 messages
Followed by:
224 members
Thanked:
1419 times
Tue Aug 29, 2017 8:34 am
If we want to know the total revenue that the theater received, we need to know:
(# of full-price tickets)x(full-ticket price) + (# of reduced-price tickets)x(reduced-ticket price)

I'll assign the following variables for clarity:
number of full-price tickets = F
price of each full-ticket = f
number of reduced-price tickets = R
price of each reduced-ticket = r
Revenue = (F)(f) + (R)(r)

In order to answer the question, we'd need values for each of these variables: F, f, R, and r.

We're given the total # of tickets, so we know that F + R = 400. If we knew a proportion between F and R, we could infer the values. We would still need actual values for f and r.

Target question: what are the values of F, f, R, and r?

(1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold.
This allows us to infer that F = 100 and R = 300. We still don't know the prices of each ticket, so we don't know total revenue. Insufficient.

(2) The full price of a ticket was $25. With this statement alone, we know that f = 25, but we do not know how many of each ticket was sold, or the price of reduced tickets. Insufficient. (1) & (2) together We know that F = 100, f = 25, and R = 300. However, we still don't know anything about the price of reduced tickets, so we don't know the total revenue. Insufficient. The answer is E. _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. ### GMAT/MBA Expert Jay@ManhattanReview GMAT Instructor Joined 22 Aug 2016 Posted: 703 messages Followed by: 17 members Thanked: 332 times Tue Aug 29, 2017 10:21 pm lionsshare wrote: What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced price? (1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold. (2) The full price of a ticket was$25.

OA: E

Hello, Experts. Can you please share how to solve this problem.
Say the number of tickets sold at full-price = a, thus the number of tickets sold at reduced price = 400 - a

Say the full price = b and the price of the tickets sold at reduced price = c

Total revenue = Revenue from the sale of tickets at full-price + Revenue from the sale of tickets sold at reduced price

= ab + (400 - a)c

If we get the value of a, b and c, we get the answer.

Statement 1: The number of tickets sold at the full price was 1/4 of the total number of tickets sold.

This gives 400 - a = 1/4 of 400 = 100

Thus, a = 300.

We do not yet know the values of b and c, we cannot get the value of Total revenue. Insufficient.

Statement 2: The full price of a ticket was $25. => b =$25.

We do not yet know the values of a and c, we cannot get the value of Total revenue. Insufficient.

Statement 1 & 2:

We still do not have the value of c, we cannot get the value of Total revenue. Insufficient.

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Barcelona | Manila | Melbourne | and many more...

### GMAT/MBA Expert

ceilidh.erickson GMAT Instructor
Joined
04 Dec 2012
Posted:
1633 messages
Followed by:
224 members
Thanked:
1419 times
Mon Oct 09, 2017 8:04 am
Compare to a similar OG question posted here: http://www.beatthegmat.com/og2016-ds-what-was-the-total-t296245.html#797220

It's worth noting that the GMAT often writes variations on the same prompt!

_________________

Ceilidh Erickson
Manhattan Prep GMAT & GRE instructor
EdM in Mind, Brain, and Education

Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience.
Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry!

Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week.

### Best Conversation Starters

1 Vincen 180 topics
2 lheiannie07 65 topics
3 Roland2rule 49 topics
4 ardz24 40 topics
5 LUANDATO 16 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

146 posts
2 Rich.C@EMPOWERgma...

EMPOWERgmat

103 posts
3 GMATGuruNY

The Princeton Review Teacher

100 posts
4 EconomistGMATTutor

The Economist GMAT Tutor

92 posts
5 Jay@ManhattanReview

Manhattan Review

79 posts
See More Top Beat The GMAT Experts