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16 Sep 2014, 00:58
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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 the value of \(x^2 - y^2\) ?
A. 0
B. 1
C. 5
D. 10
E. 15
A. 0
B. 1
C. 5
D. 10
E. 15
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 the value of \(x^2 - y^2\) ?
A. 0
B. 1
C. 5
D. 10
E. 15
From the given information, we have \(2000*\frac{x}{100}*1.5 = 3000*\frac{y}{100}\). This simplifies to \(x = y\), and thus \(x^2 - y^2 = 0\).
Answer: A
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 the value of \(x^2 - y^2\) ?
A. 0
B. 1
C. 5
D. 10
E. 15
From the given information, we have \(2000*\frac{x}{100}*1.5 = 3000*\frac{y}{100}\). This simplifies to \(x = y\), and thus \(x^2 - y^2 = 0\).
Answer: A
13 Jan 2018, 14:46
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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.
