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**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**

## Show Answer

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

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C. 47 : 56

D. 47 : 51

### By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:

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### 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:

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C. A makes a profit of 20%

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### A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs. 600 less, he would have made a profit of 32%. The cost price of the horse was.

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