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# Andra, Elif, and Grady each invested in a certain stock. Andra investe

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Joined: 23 Feb 2015
Posts: 1879
Andra, Elif, and Grady each invested in a certain stock. Andra investe  [#permalink]

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08 Mar 2020, 08:34
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Difficulty:

45% (medium)

Question Stats:

72% (02:52) correct 28% (03:09) wrong based on 98 sessions

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Andra, Elif, and Grady each invested in a certain stock. Andra invested $$q$$ dollars, which was $$40$$% more than Elif invested. If Elif invested $$25$$% less than Grady invested, what was the total amount invested by all three, in terms of $$q$$?
(A) $$2q$$
(B) $$\frac{41q}{20}$$
(C) $$\frac{12q}{5}$$
(D) $$\frac{18q}{7}$$
(E) $$\frac{8q}{3}$$
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Posts: 428
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Schools: Sloan '22, ISB, IIM
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Re: Andra, Elif, and Grady each invested in a certain stock. Andra investe  [#permalink]

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09 Mar 2020, 00:07
Andra, Elif, and Grady each invested in a certain stock. Andra invested $$q$$ dollars, which was $$40$$% more than Elif invested. If Elif invested $$25$$% less than Grady invested, what was the total amount invested by all three, in terms of $$q$$?
(A) $$2q$$
(B) $$\frac{41q}{20}$$
(C) $$\frac{12q}{5}$$
(D) $$\frac{18q}{7}$$
(E) $$\frac{8q}{3}$$

A = $$\frac{21*x}{20}$$ = q
E = $$\frac{3*x}{4}$$
G = x

total amount = $$\frac{21*x}{20}+\frac{3*x}{4}+ x$$ = $$\frac{14*x}{5}$$ = $$\frac{8*q}{3}$$
Ans: E
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Joined: 21 Aug 2019
Posts: 132
Re: Andra, Elif, and Grady each invested in a certain stock. Andra investe  [#permalink]

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15 Mar 2020, 06:12
1
I didnt understand the answer explanation
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Joined: 24 Feb 2020
Posts: 160
Location: Italy
WE: Analyst (Investment Banking)
Re: Andra, Elif, and Grady each invested in a certain stock. Andra investe  [#permalink]

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17 Apr 2020, 08:57
1
1
You should pick smart numbers.

Suppose:
Elif = 75% of 100 = 75
Andra = Elif + 40 % = 75+30 = 105 (Q)

Total = 280

Plug in Q = 105 in the answer choices.
The objective is to find 280

(A) 2q=2(105) = 210 NO
(B) 41/20(105) = not an integer.
(C) 12/5(105) = 12(21) = 252 too little
(D) 18/7(105) = (18)(15)=270 too little
(E) 8/3(105) = (8)(35) = 280 CORRECT.

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Re: Andra, Elif, and Grady each invested in a certain stock. Andra investe  [#permalink]

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19 Apr 2020, 04:01
Andra, Elif, and Grady each invested in a certain stock. Andra invested $$q$$ dollars, which was $$40$$% more than Elif invested. If Elif invested $$25$$% less than Grady invested, what was the total amount invested by all three, in terms of $$q$$?
(A) $$2q$$
(B) $$\frac{41q}{20}$$
(C) $$\frac{12q}{5}$$
(D) $$\frac{18q}{7}$$
(E) $$\frac{8q}{3}$$

We can let E = the amount Elif invested and G = the amount Grady invested. We can create the equations:

q = 1.4E

q/1.4 = E

10q/14 = E

5q/7 = E

and

5q/7 = 0.75G

5q/7 = 3G/4

20q/7 = 3G

20q/21 = G

So, the total invested is:

q + 5q/7 + 20q/21

21q/21 + 15q/21 + 20q/21 = 56q/21 = 8q/3

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Re: Andra, Elif, and Grady each invested in a certain stock. Andra investe   [#permalink] 19 Apr 2020, 04:01

# Andra, Elif, and Grady each invested in a certain stock. Andra investe

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