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percentage loss

Expert replies
by coolhabhi » Fri Jun 13, 2014 1:36 am
On selling 144 bicycles, John lost selling price of 6 bicycles. His percentage loss is
A) 4%
B) 6%
C) 8%
D) 10%
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Source: — Problem Solving |

by Mathsbuddy » Fri Jun 13, 2014 5:14 am
Would I be right in saying 6/144 * 100% = 4.17%
Therefore Answer A 4%?
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by Mathsbuddy » Fri Jun 13, 2014 5:28 am
Mathsbuddy wrote:Would I be right in saying 6/144 * 100% = 4.17%
Therefore Answer A 4%?
Or...

144+6 = Original value of all bikes = 150

6/150 * 100% =4% exactly
Therefore Answer A 4%

I reckon it is this latter reason, although the multiple choice would have given the same answer.
Any comments anyone?
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by GMATinsight » Fri Jun 13, 2014 8:44 am
@Mathsbuddy:

The second explanation is correct but the first one is fundamentally wrong.

If we assume that every cycle's Selling price was $1 then the Total revenue earned is $144 and the loss is $6 therefore the Total cost = 144+6 = $150

Therefore, Loss% = [Total S.P.-Total C.P.]*100/Total C.P. = (150-144)*100/150 = 6*100/150 = 4% ANSWER
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by GMATinsight » Fri Jun 13, 2014 8:46 am
@Mathsbuddy:

The second explanation is correct but the first one is fundamentally wrong.

If we assume that every cycle's Selling price was $1 then the Total revenue earned is $144 and the loss is $6 therefore the Total cost = 144+6 = $150

Therefore, Loss% = [Total S.P.-Total C.P.]*100/Total C.P. = (150-144)*100/150 = 6*100/150 = 4% ANSWER[/quote]
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