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Q. 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%
  • Correct Answer - Option(B)
  • Views: 9
  • Filed under category Math
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Explanation by: Admin
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 = (11×100)/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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