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Question 94
Two identical items are sold for Rs.200 each, with 10% gain on one but 10% loss on the other. What is the net
percentage loss or gain?
Solution
let CP1 = Rs x
profit = 10%
profit = $$\frac{10}{100}x$$ = 0.1 x
SP - CP = profit
200 - x = 0.1x
CP1Â = 181.8
let CP2 = Rsy
loss = 10%
loss = $$\frac{10}{100}y$$ = 0.1 y
 CP - SP = loss
y - 200 = 0.1y
CP2 = 222.2
total CP = 181.8 + 222.2 = 404.0
total SP = 400
therefore, Loss = CP-SP
=404-400
=4
Loss percent=$$\frac{L}{CP}100$$
=$$\frac{4}{404}100$$
=0.9% = 1 %
 Â
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