Question Details

A shopkeeper sells two tables, each procured at cost price p, 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 x and y, respectively, then (x − y) / p equals

Options

A

0.7

B

1

C

1.2

D

0.50

Show Answer

Correct Answer :

Option B

1

Solution :

Let the cost price of each table be p.

Amal buys the first table from the shopkeeper at a 20% profit for the shopkeeper, so Amal's cost price is:

1.2p

Amal sells this table to Bimal at a 30% profit. The amount paid by Bimal is x:

x=1.2p×1.3=1.56p

Asim buys the second table from the shopkeeper at a 20% loss for the shopkeeper, so Asim's cost price is:

0.8p

Asim sells this table to Barun at a 30% loss. The amount paid by Barun is y:

y=0.8p×0.7=0.56p

Now we compute the value of the required expression:

xyp=1.56p0.56pp=pp=1

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