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M16-06

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M16-06 [#permalink]

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New post 16 Sep 2014, 00:58
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Question Stats:

82% (01:17) correct 18% (02:09) wrong based on 83 sessions

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Project A requires $2000 of investment and promises a return of \(x\)% per year. Project B requires $3000 of investment and promises a return of \(y\)% per year. If the yearly return from project B is 50% greater than that from project A, what is \(x^2 - y^2\) ?

A. 0
B. 1
C. 5
D. 10
E. 15

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Re M16-06 [#permalink]

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New post 16 Sep 2014, 00:58
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Official Solution:

Project A requires $2000 of investment and promises a return of \(x\)% per year. Project B requires $3000 of investment and promises a return of \(y\)% per year. If the yearly return from project B is 50% greater than that from project A, what is \(x^2 - y^2\) ?

A. 0
B. 1
C. 5
D. 10
E. 15

It follows from the stem that \(2000*\frac{x}{100}*1.5 = 3000*\frac{y}{100}\). From here \(x = y\) and therefore \(x^2 - y^2 = 0\).

Answer: A
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: M16-06 [#permalink]

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New post 08 Feb 2017, 22:59
Profit from project B = 30y , Profit from project A = 20x

30y=20x*1.5
=> (x-y) = 0

x^2-y^2 = (x+y) (x-y) = 0
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Re: M16-06 [#permalink]

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New post 13 Jan 2018, 14:46
I am sorry but it is little confusing, Project B give 50 % higher returns than Project A. so Y = 1.5 and X=1. let’s say x= 100% and Y= 150% than how come X^2-Y^2= 0? Apology in advances if I asked very dumb question.
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Re: M16-06 [#permalink]

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New post 13 Jan 2018, 15:48
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sunny012 wrote:
I am sorry but it is little confusing, Project B give 50 % higher returns than Project A. so Y = 1.5 and X=1. let’s say x= 100% and Y= 150% than how come X^2-Y^2= 0? Apology in advances if I asked very dumb question.


The yearly return from project B is 50% greater than that from project A, does not mean that y = 1.5x, it means that the amount earned from project B is 50% greater than that from project A, so \(2000*\frac{x}{100}*1.5 = 3000*\frac{y}{100}\).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: M16-06   [#permalink] 13 Jan 2018, 15:48
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