# 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?

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by vina

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by vina

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= (112/100)xk = 1.12k.

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B's CP = 1.12k, B's SP = A's CP = k.

==> B's loss = B's CP - B's SP = 1.12k - k = 0.12k.

B's loss percent = (B's loss/B's CP) x 100 = (0.12k / 1.12k) x 100 = 1200/112

= 10 5/7 %

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 B loses 12%