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:

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Solution

Let the profit % be x when the selling price is 42.
Then the profit % will be 3x when selling price is 56.
$P % = \frac{P}{C P} \times 100 %$
$\frac{x}{100} = \frac{P}{C . P .} \Rightarrow \frac{x}{100} = \frac{42 - C . P .}{C . P .}$
$\frac{3 x}{100} = \frac{P}{C . P .} \Rightarrow \frac{3 x}{100} = \frac{56 - C . P .}{C . P .}$
$\Rightarrow \frac{42 - C . P .}{C . P .} = \frac{1}{3} [\frac{56 - C . P .}{C . P .}]$
126 - 3C.P = 56 - C.P
70 = 2C.P
CP = Rs. 35.

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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:

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.