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?
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%