A buys an article and sells it to B at a profit of 12 B sells it back to A at the price which A prev...........

Quantitative Aptitude ( CCS) Profit and loss

A buys an article and sells it to B at a profit of 12%. B sells it back to A at the price which A previously paid for it. what is B's percentage loss?

10%

11%

12%

none of these

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Explanation:

Let the Original C.P of the article(price at which A purchased it) be Rs.x
S.P. of the article=C.P.*(100+Profit%)/100=x*112/100=28x/25
which is equal to the C.P. of B(Price paid by B for the article)
S.P. of B=(Price at which A purchased it)=Rs.x
Loss of B=C.P.-S.P.
=28x/25-x
=3x/25
Loss percentage=Loss/C.P.*100
=(3x/25)/x*100%=12%

Hence, option 3 is the correct answer.