Lesle sold her tow bikes, one at 10% loss and the other at 20% profit. Find her overall profit percentage if she sold both the bikes at the same price. A. 2.857% B. 2.625% C. 2.425% D. 1.687%
Answers
Given : Lesle sold her two bikes, one at 10% loss and the other at 20% profit.
To Find : her overall profit percentage if she sold both the bikes at the same price.
Solution:
Let say cost price of bikes = 100x and 100y
CP = 100x + 100y
Sold at 10 % loss = (10/100)100x = 10x
SP = 100x - 10x = 90x
Sold at 20 % profit = (20/100)100y = 20y
SP = 100y + 20y = 120y
90x = 120y
=> y = 3x/4
Total SP = 90x + 120y = 180x
CP = 100x + 100y = 100x + 100(3x/4) = 175x
Profit = 180x - 175x = 5x
Profit % = (5x/175x)100 = 2.857 %
overall profit percentage = 2.857 %
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