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• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### FREE Quant Workshop by e-GMAT! December 16, 2018 December 16, 2018 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. # John invested 1/4 of A dollars in an investment fund, and placed the r  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6639 GMAT 1: 760 Q51 V42 GPA: 3.82 John invested 1/4 of A dollars in an investment fund, and placed the r [#permalink] ### Show Tags 06 Jul 2018, 00:46 00:00 Difficulty: 35% (medium) Question Stats: 74% (02:15) correct 26% (04:24) wrong based on 80 sessions ### HideShow timer Statistics [GMAT math practice question] John invested $$\frac{1}{4}$$ of A dollars in an investment fund, and placed the remaining $$\frac{3}{4}$$ 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.) $$A. \frac{–Ap}{400}$$ $$B. 0$$ $$C. \frac{Ap}{400}$$ $$D. \frac{Ap}{200}$$ $$E. \frac{Ap}{100}$$ _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

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06 Jul 2018, 01:05
MathRevolution wrote:
[GMAT math practice question]

John invested $$\frac{1}{4}$$ of A dollars in an investment fund, and placed the remaining $$\frac{3}{4}$$ 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.)

$$A. \frac{–Ap}{400}$$
$$B. 0$$
$$C. \frac{Ap}{400}$$
$$D. \frac{Ap}{200}$$
$$E. \frac{Ap}{100}$$

Take A as 400, so two parts 1/4 = 100 and 3/4=300...
And let p be 10%
So 4*10=40% loss on 100= 40
10% profit on 300 = 30
So loss =40-30=10

Put in the choices..
A. -Ap/400=-400*10/400=-10

Ans A
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Re: John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

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06 Jul 2018, 02:29
MathRevolution wrote:
[GMAT math practice question]

John invested $$\frac{1}{4}$$ of A dollars in an investment fund, and placed the remaining $$\frac{3}{4}$$ 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.)

$$A. \frac{–Ap}{400}$$
$$B. 0$$
$$C. \frac{Ap}{400}$$
$$D. \frac{Ap}{200}$$
$$E. \frac{Ap}{100}$$

Algebra Approach:-

Dollar:- $$\frac{A}{4}$$------------------------------------------------------------------$$\frac{3A}{4}$$
Loss or Profit:- $$\frac{A}{4}*4p%$$----------------------------------------------------------$$\frac{3}{4A}*p%$$
Amount with John
after loss
or profit :-$$\frac{A}{4}$$-$$\frac{4Ap}{400}$$------------------------------------------------------$$\frac{3A}{4}$$*+$$\frac{3Ap}{400}$$

Total profit or loss=(Amount with John after loss or profit)-A=$$(\frac{A}{4}-\frac{4Ap}{400}+\frac{3A}{4}+\frac{3Ap}{400})-A$$
=$$A-\frac{Ap}{400}-A$$
=$$\frac{-Ap}{400}$$
Ans. Option (A) Loss case.
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John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

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06 Jul 2018, 02:36
MathRevolution wrote:
[GMAT math practice question]

John invested $$\frac{1}{4}$$ of A dollars in an investment fund, and placed the remaining $$\frac{3}{4}$$ 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.)

$$A. \frac{–Ap}{400}$$
$$B. 0$$
$$C. \frac{Ap}{400}$$
$$D. \frac{Ap}{200}$$
$$E. \frac{Ap}{100}$$

Let $$A=40$$

Amount invested in the fund = $$\frac{1}{4} * 40 = 10$$
Since $$4p = 4*10 = 40$$, John loses 40% of his investment in the fund:
Loss = $$\frac{40}{100}(10) = -4$$

Amount placed in the savings account = $$40-10=30$$
Since $$p=10$$, John earns 10% of the amount placed in the savings account:
Gain = $$\frac{10}{100}(30)= 3$$

Loss + Gain = $$-4+3 = -1$$
The correct answer must be NEGATIVE.

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John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

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06 Jul 2018, 07:16
1
MathRevolution wrote:
John invested $$\frac{1}{4}$$ of A dollars in an investment fund, and placed the remaining $$\frac{3}{4}$$ 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.)

$$A. \frac{–Ap}{400}$$
$$B. 0$$
$$C. \frac{Ap}{400}$$
$$D. \frac{Ap}{200}$$
$$E. \frac{Ap}{100}$$

Profit on Savings fund is $$\frac{3Ap}{400}$$

Loss on the investment fund is $$\frac{p}{100}$$

So, Net profit is $$\frac{3Ap}{400}$$ $$-$$ $$\frac{p}{100}$$

Or, Net profit is $$\frac{–Ap}{400}$$, Answer must be (A)
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Re: John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

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08 Jul 2018, 03:20
=>
Total profit = profit on investment fund + profit on savings account
$$= (\frac{1}{4})A*(\frac{-4p}{100}) + (\frac{3}{4})A*(\frac{p}{100})$$
$$=-\frac{4Ap}{400} + \frac{3Ap}{400} = \frac{-Ap}{400}$$

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Re: John invested 1/4 of A dollars in an investment fund, and placed the r  [#permalink]

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13 Jul 2018, 13:21
MathRevolution wrote:
[GMAT math practice question]

John invested $$\frac{1}{4}$$ of A dollars in an investment fund, and placed the remaining $$\frac{3}{4}$$ 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.)

$$A. \frac{–Ap}{400}$$
$$B. 0$$
$$C. \frac{Ap}{400}$$
$$D. \frac{Ap}{200}$$
$$E. \frac{Ap}{100}$$

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

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Re: John invested 1/4 of A dollars in an investment fund, and placed the r &nbs [#permalink] 13 Jul 2018, 13:21
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