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Question

The percent profit made when an article is sold for Rs. 56 is thrice as when it is sold for Rs. 42. The cost price of the article is:


Solution

Let the profit % be x when the selling price is 42.
Then the profit % will be 3x when selling price is 56.
P%=PCP×100%
x100=PC.P.x100=42C.P.C.P.
3x100=PC.P.3x100=56C.P.C.P.
42C.P.C.P.=13[56C.P.C.P.]
126 - 3C.P = 56 - C.P
70 = 2C.P
CP = Rs. 35.

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