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

Available with Beat the GMAT members only code

• 1 Hour Free
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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE 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 • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code ## A man invested two different sums of money. . . This topic has 1 expert reply and 0 member replies ### Top Member Vincen Master | Next Rank: 500 Posts Joined 07 Sep 2017 Posted: 447 messages Thanked: 6 times #### A man invested two different sums of money. . . Wed Sep 20, 2017 7:53 am Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) A man invested two different sums of money, under the same rate of simple interest, but for different periods of time. The total interest he obtained from both the investments was$2,250. What was the rate of interest?

(1) The sums of money invested are $12,000 and$9,000, respectively.
(2) The durations for which the sums are invested are 3 years and 5 years, respectively.

The OA is C.

Why the two statements need to be together to be sufficient?

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

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
867 messages
Followed by:
18 members
Thanked:
459 times
Wed Sep 20, 2017 10:24 pm
Vincen wrote:
A man invested two different sums of money, under the same rate of simple interest, but for different periods of time. The total interest he obtained from both the investments was $2,250. What was the rate of interest? (1) The sums of money invested are$12,000 and $9,000, respectively. (2) The durations for which the sums are invested are 3 years and 5 years, respectively. The OA is C. Why the two statements need to be together to be sufficient? Say the two sums are$X and $Y, the rate of interest is r% and periods for the sums are n and m years, respectively. Thus, we have, [Xrn/100] + [Yrm/100] = 2250 Xrn + Yrm = 225000 Statement 1: The sums of money invested are$12,000 and $9,000, respectively. We have X =$12,000 and Y = \$9,000. But we cannot get the value of r since the values of n and m are not known. Insufficient.

Statement 2: The durations for which the sums are invested are 3 years and 5 years, respectively.

We have n = 3 and m = 5. But we cannot get the value of r since the values of X and Y are not known. Insufficient.

Statement 1 & 2:

We have the values of X, Y, n, and m, so we can get the value of r. Sufficient.

There is no need to calculate the value of r as this is a DS question; you only need to be sure that the calculated value would be unique.

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Hyderabad | Mexico City | Toronto | and many more...

Thanked by: Vincen

### Best Conversation Starters

1 lheiannie07 111 topics
2 ardz24 64 topics
3 LUANDATO 62 topics
4 swerve 60 topics
5 AAPL 57 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

160 posts
2 EconomistGMATTutor

The Economist GMAT Tutor

130 posts
3 Rich.C@EMPOWERgma...

EMPOWERgmat

122 posts
4 GMATGuruNY

The Princeton Review Teacher

122 posts
5 Scott@TargetTestPrep

Target Test Prep

118 posts
See More Top Beat The GMAT Experts