Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
22 Jan 2017, 01:42
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
56% (02:57) correct
44%
(03:03)
wrong
based on 324
sessions
History
Date
Time
Result
Not Attempted Yet
A $200 investment at x percent per annum and a $500 investment at y percent per annum have a combined yearly return of 10 percent of the total of the two investments. If $400 is invested at x percent and $600 is invested at y percent per annum to give a combined yearly return of 9.2 percent of the total of the two investments, what will be the combined percentage yearly return of the total investment if $100 each is invested at x percent per annum and y percent per annum respectively?
A. 5%
B. 7.5%
C. 8.5%
D. 10%
E. 17%
A. 5%
B. 7.5%
C. 8.5%
D. 10%
E. 17%
22 Jan 2017, 11:54
Kudos
Bookmarks
EgmatQuantExpert
200x+500y= 10%of 700
200x+500y= 70----(A)
Also
400x+600y= 9.20%of 1000
400x+600y= 92----(B)
equating A & B we get x=5% and Y=12%
thus avg. interest on both investments
17/2 =8.5%
Ans C
29 Jan 2017, 11:14
Kudos
Bookmarks
Hey,
PFB the official solution.
Given
To Find:
Combined yearly return if $\(100\) each is invested at \(x\)% p.a. and \(y\)% p.a.?
Approach:
Working Out
Answer: C
Thanks,
Saquib
Quant Expert
e-GMAT
Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts
PFB the official solution.
Given
- • Case-I
- o Principal ,\(P1 =\) $\(200\)
o Rate of interest = \(x\)% p.a.
o Principal, \(P2 =\)$\(500\)
o Rate of Interest = \(y\)% p.a.
o Combined yearly return\(= 10\)%
- • Case-II
- o Principal, \(P3 =\) $\(400\)
o Rate of interest = \(x\)% p.a.
o Principal, \(P4 =\) $\(600\)
o Rate of Interest = \(y\)% p.a.
o Combined yearly return = \(9.2\)%
To Find:
Combined yearly return if $\(100\) each is invested at \(x\)% p.a. and \(y\)% p.a.?
Approach:
- • Let the combined yearly return be \(R\)%
• So, Return on $200 invested at \(R\)% p.a. = Return on $\(100\) at x% p.a. + Return on $\(100\) at y% p.a.
• \(200*\frac{R}{100} = 100 * \frac{x}{100} + 100 * \frac{y}{100}\)
Working Out
- 1. Case-I
a. As the combined yearly return is equal to the sum of the returns of individual investments, we can write the following equation
- i. \(200 * \frac{x}{100} + 500 *\frac{y}{100} = (200 + 500) * \frac{10}{100}\)
ii. \(2x +5y = 70\)……………..(1)
- 2. Case-II
a. As the combined yearly return is equal to the sum of the returns of individual investments, we can write the following equation
- i. \(400 * \frac{x}{100} + 600 * \frac{y}{100} = (400 + 600) * \frac{9.2}{100}\)
ii. \(4x +6y = 92\)…..(2)
- 3. Solving (1) and (2), we have \(y = 12\) and\(x = 5\)
- 4. Hence, combined yearly return on investment of $\(100\) each at \(x\)% and \(y\)% can be calculated as
- a. \(200 *\frac{R}{100}= 100 * \frac{5}{100} + 100 * \frac{12}{100}\)
b. Combined return = \(8.5\)%
Answer: C
Thanks,
Saquib
Quant Expert
e-GMAT
Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts
