Question

A sells an article to B at a gain of 10% B sells it to C at a gain of 10% C sells it back to A at a loss of 20% Find the net Gain/Loss of A

Answer 1

Answer:

Net is a loss of 3.2%

Step-by-step explanation:

Let the original price of the article be 'x'.

First, A sells the article to B at a gain of 10%.

Therefore, new price = x + 0.1x = 1.1x

Second, B sells it to C at a gain of 10%.

Therefore, new price = 1.1x + 0.1(1.1x) = 1.21x

Third, C sells it back to A at a loss of 20%

Therefore, new price = 1.21x - 0.2(1.21x) = 0.968x

Therefore, the net is a loss of:

1-0.968 = 0.032 = 3.2%