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=42−C.P.C.P. 3x100=PC.P.⇒3x100=56−C.P.C.P. ⇒42−C.P.C.P.=13[56−C.P.C.P.] 126 - 3C.P = 56 - C.P 70 = 2C.P CP = Rs. 35.

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