# 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 Examveda 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]

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## Comments ( 3 )

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. A neither losses nor gains

B. A makes a profit of 11%

C. A makes a profit of 20%

D. B loses 20%

A. Rs. 3,750

B. Rs. 3,250

C. Rs. 2,750

D. Rs. 2,250

He gives on article free for buying every.eighteen articles are also gives 16 2/3% discount find his discount percent.

IAM not understanding the percentage calculation difference for profit 10,n 10loss

Correct Answer = B. A makes a profit of 11%