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When Joan Defaw sells her stocks for $200, she makes a lo

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darkshadow271
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When Joan Defaw sells her stocks for $200, she makes a lo [#permalink] New post   Updated on: 23 Dec 2021, 20:18
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When Joan Defaw sells her stocks for $200, she makes a loss of c% and when she sells them for $300 she makes a profit of c%. What is the value of c?

A - 4
B - 5
C - 20
D - 25
E - 10
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Official Answer
C

Originally posted by darkshadow271 on 23 Dec 2021, 05:12.
Last edited by darkshadow271 on 23 Dec 2021, 20:18, edited 1 time in total.
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Re: When Joan Defaw sells her stocks for $200, she makes a lo [#permalink] New post   23 Dec 2021, 10:13
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This is not a standard GRE question. The E choice is also missing

Please add the missing one or the post will be archieved

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superpower101
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Re: When Joan Defaw sells her stocks for $200, she makes a lo [#permalink] New post   11 Jan 2022, 19:55
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We must create an equation and cross-multiply to solve for c%:

[200][/(1 - c)] = [300][/(1 + c)]
200(1 + c) = (300)(1 - c)
200 + 200c = 300 - 300c
500c = 100
x = 1/5 = 0.20

To convert 0.20 into a percentage, multiply by 100:

c% = 0.20(100) = 20%

To check your answer:

20% loss:
x(0.8) = 200
x = 250

20% profit:
x(1.2) = 300
x = 250
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gmatclubot
Re: When Joan Defaw sells her stocks for $200, she makes a lo [#permalink]
11 Jan 2022, 19:55
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