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Word Problem- Profit/Loss

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by sukhman » Fri Oct 18, 2013 7:51 pm
A shopkeeper sells two items at the same price . If he sells one of them at a profit of 10% and the other at a loss of 10% , Find the percentage profit/loss .
Generic question lets take 10 % as x , y or z .How do we solve it
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by theCodeToGMAT » Fri Oct 18, 2013 11:03 pm
CP of First Product = X
CP of Second Prodict = Y

1.1x = 0.9y
X/y = 9/11

Lets say CPs are 90 & 110 for x & y

So, Profit/Loss = ((99+99)-(90+110))/(90+110)
= - 2/200
So, Loss of 1%
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by riz_gmat » Sat Oct 19, 2013 3:10 am
If 2 items are sold each at same price ( ie, Same S.P)
one item at a gain of P %
other at a loss of P% ,
Then overall loss = p ^2 / 100 %
hence, here P = 10,
Therefore, overall loss % = 100/100 = 1%
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