 ### A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

A. A neither losses nor gains B. A makes a profit of 11% C. A makes a profit of 20% D. B loses 20% Answer: Option B

### Solution(By Apex Team)

First Method Let CP was 100 for A originally A sells article to B at 10% profit, CP for B = 100 + 10% of 100 = 110 Now, B sells it A again with loss 10% Now, CP for A this time = 110 – 10% of 110 = 99 A makes Profit = 110 – 99 = 11 %profit for A = $\frac{11 \times 100}{100}$= 11% Second Method It could be easily shown by net percentage change graphic. 100(A) == 10%(Profit) ⇒110(B) == 10%(Loss) ⇒ 99(A) In this transaction A makes a profit of (110 – 99 = 11%) 11% [10% on selling to B and 1% profit on buying back from B]

## Related Questions on Profit and Loss

A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51

A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000

### A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%