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Is there a loss in transaction?

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Intern
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Joined: 05 Oct 2017
Posts: 20
CAT Tests
Is there a loss in transaction?  [#permalink]

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New post 30 Sep 2018, 01:13
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:18) correct 37% (01:25) wrong based on 38 sessions

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Is there a loss in transaction?

1) 20% of Cost price is $20 more than 40% of selling price.
2) 30% of Cost price is $10 less than 20% of selling price.
Math Expert
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Joined: 02 Aug 2009
Posts: 6957
Re: Is there a loss in transaction?  [#permalink]

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New post 30 Sep 2018, 02:18
Is there a loss in transaction?

1) 20% of Cost price is $20 more than 40% of selling price.
So \(\frac{20}{100}*C=20+S*\frac{40}{100}.....20C=2000+40S...C=100+2S\)
So Cost Price is more than Selling price
Therefore loss
Sufficient

2) 30% of Cost price is $10 less than 20% of selling price.
So \(\frac{30}{100}*C=S*\frac{20}{100}-10.....30C=20S-1000.........\)
So Cost Price is less than Selling price
Therefore profit
Sufficient

D..

Note.. you can't have two different answers from the two statements, so question is flaqed
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Intern
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Joined: 21 May 2016
Posts: 26
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Re: Is there a loss in transaction?  [#permalink]

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New post 02 Oct 2018, 01:42
1) 20/100∗C=20+S∗40/100
C=100+2S
Sufficient

2)30/100∗C=S∗20/100−10
30C+1000=20S
1.5C+50=S
Sufficient

Hence D
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Re: Is there a loss in transaction? &nbs [#permalink] 02 Oct 2018, 01:42
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Is there a loss in transaction?

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