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%
• B. 25%
• C. 20%
• D. 40%

Answer 1

The correct option is C

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

$\frac{25x}{100}$= Rs. 145

$x$ = $\frac{145\times 100}{25}$ = Rs. 580

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

Profit% = $\frac{P}{100}$ x C.P = 580 x $\frac{P}{100}$ =

P = $\frac{116\times 100}{580}$ = 20%