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

CP1  = 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 %

  


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