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Question

When an article is sold for Rs. 696, percent profit earned was P%. When the same article was sold for Rs.841, percent profit earned was (P+25%). What is the value of P?



A

30%

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B

25%

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C

20%

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D

40%

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Solution

The correct option is D

20%


The sale price of an article is Rs.696 when profit  = P%

The sale price of an article is Rs.841 when profit  = (P+25)%

The difference in sale price = Rs. (841-696) = Rs. 145

The difference in profit percentages = P+25 - P = 25%

Let the C.P be Rs. x, then the difference in profit percentage of x is the difference in sale price.

 25% of x = Rs. 145

25x100= Rs. 145

x = 145×10025 = Rs. 580

Profit = Sale price - Cost price = Rs. (696-580) =Rs. 116

Profit% = P100 x C.P = 580 x  P100 =

P =  116×100580 = 20%


Mathematics

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