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# Is there a loss in transaction?

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Manager
Joined: 05 Oct 2017
Posts: 62
GMAT 1: 560 Q44 V23
Is there a loss in transaction?  [#permalink]

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30 Sep 2018, 00:13
2
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:26) correct 36% (01:29) wrong based on 42 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.

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It’s not that I’m so smart, it’s just that I stay with problems longer. -- Albert Einstein

Math Expert
Joined: 02 Aug 2009
Posts: 7113
Re: Is there a loss in transaction?  [#permalink]

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30 Sep 2018, 01:18
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
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Joined: 21 May 2016
Posts: 27
Re: Is there a loss in transaction?  [#permalink]

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02 Oct 2018, 00:42
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, 00:42
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