Successive profit and loss transactions

CAT 2019 Slot 2 · QA · Medium · Profit & loss

A shopkeeper sells two tables, each procured at cost price pp, to Amal and Asim at a profit of 20% and at a loss of 20%, respectively. Amal sells his table to Bimal at a profit of 30%, while Asim sells his table to Barun at a loss of 30%. If the amounts paid by Bimal and Barun are xx and yy, respectively, then (xy)/p(x - y) / p equals

  1. A.

    1

  2. B.

    1.2

  3. C.

    0.7

  4. D.

    0.50

Answer

A

Explanation

Price paid by Amal =1.2p= 1.2 p. Price paid by Bimal (xx) =1.2p×1.3=1.56p= 1.2 p \times 1.3 = 1.56 p.

Price paid by Asim =0.8p= 0.8 p. Price paid by Barun (yy) =0.8p×0.7=0.56p= 0.8 p \times 0.7 = 0.56 p.

Therefore: xyp=1.56p0.56pp=1\frac{x - y}{p} = \frac{1.56 p - 0.56 p}{p} = 1

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