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John invested 1/4 of A dollars in an investment fund, and pl

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by Max@Math Revolution » Fri Jul 06, 2018 12:32 am

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[GMAT math practice question]

John invested 1/4 of A dollars in an investment fund, and placed the remaining 3/4 of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

A. -Ap/400
B. 0
C. Ap/400
D. Ap/200
E. Ap/100
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by GMATGuruNY » Fri Jul 06, 2018 2:41 am
Max@Math Revolution wrote:[GMAT math practice question]

John invested 1/4 of A dollars in an investment fund, and placed the remaining 3/4 of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

A. -Ap/400
B. 0
C. Ap/400
D. Ap/200
E. Ap/100
Let A=40.

Since John invests 1/4 of his money in the fund, the amount invested in the fund = (1/4)(40) = 10.
Since the remainder is placed in the savings account, the amount placed in the savings account = 40−10 = 30.

Since 4p = 4∗10 = 40%, John loses 40% of his $10 investment in the fund:
Loss = (40/100)(10) = −4.
Since p=10%, John earns 10% of the $30 placed in the savings account:
Gain = (10/100)(30) = 3.
Loss + Gain = −4+3 = −1.
The correct answer must be NEGATIVE.

The correct answer is A.
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by Shahrukh@mbabreakspace » Fri Jul 06, 2018 5:24 am
Total amount invested in fund= A/4
Loss in fund= 4P/100* A/4= AP/100

Amount saved= 3A/4
Profit in fund = P/100* 3A/4= 3AP/400

Total profit= 3AP/400-AP/100= -AP/400
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by Max@Math Revolution » Sun Jul 08, 2018 3:06 am
=>
Total profit = profit on investment fund + profit on savings account
= (1/4)A*(-4p/100) + (3/4)A*(p/100)
=-4Ap/400 + 3Ap/400 = -Ap/400

Therefore, the answer is A.
Answer: A
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by Jeff@TargetTestPrep » Fri Jul 13, 2018 1:22 pm
Max@Math Revolution wrote:[GMAT math practice question]

John invested 1/4 of A dollars in an investment fund, and placed the remaining 3/4 of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative value represents a loss.)

A. -Ap/400
B. 0
C. Ap/400
D. Ap/200
E. Ap/100
We express p% as p/100 and 4p% as 4p/100. Thus, for the investment fund, he lost A/4 x 4p/100 = Ap/100 dollars. For the savings account, he made 3A/4 x p/100 = 3Ap/400 dollars. Thus his profit (or loss) is:

3Ap/400 - Ap/100 = 3Ap/400 - 4Ap/400 = -Ap/400

Answer: A

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