Question

on selling an article for rupees 144 a man loses 10%. at what price should he sell it to gain 10%?

Answer 1

10/100*144=14.4
144+14.4
158.4
he need to sell it for the advice price to gain10%

Answer 2

Let the cost price of article = Rs x
Given sold price = Rs 144
Loss = C.P - S.P = Rs  (144 - x)
Loss% = loss/C.P * 100
10% = (144 - x)/144 * 100
10/100 = 144-x / 144
1/10 = 144 - x /144
144 = 1440 - 10x
10x = 1440 - 144 = 1296
x = 1296/10 = Rs 129.6
The cost price of article = Rs 129.6

Now he had to gain 10%
Let S.P = Rs y
Profit = S.P - C.P = Rs (x - 129.6)
Profit% = profit/C.P * 100
10 = x - 129.6 / 129.6 * 100
10/100 = x - 129.6 / 129.6
1/10 = x - 129.6 / 129.6
129.6  = 10x - 1296
10x = 1425.6
x = Rs 142.56
He has to sell for 142.56 Rs in order to gain 10% profit.