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:  Options:	A) A neither losses nor gains	B) A makes a profit of 11%	C) A makes a profit of 20%	D) B loses 20%	E) None of these
Solution: 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= 
<gadget id="calculator">110 - 99</gadget>
<output>11</output>
11.   %profit for A= (11*100)/100 = 10%.   Second Method   It could be easily shown by net percentage change graphic.   100(A)==10%(Profit)==&gt;110(B)==10%(Loss)==&gt;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].   Answer: Option A makes a profit of 11%
<result>B</result>
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: