Question

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 \(\frac{(x −y) }{ p}\) equals

• A. 0.7
• B. 1
• C. 1.2
• D. 0.50

Answer 1

The Correct Option is B

The cost of the table for Aman is represented as \(1.2p.\)
The cost of the table for Asim is represented as \(0.8p.\)
Aman sells the table to Bimal at a price calculated as \(1.3×1.2p=1.56p\). This amount is considered the cost of the table for Bimal and is represented as x.
Asim sells the table to Barun at a price calculated as \(0.7×0.8p=0.56p\). This amount is considered the cost of the table for Barun and is represented as y.
therefore, \(\frac{x-y}{p},\frac{1.56p-0.56p}{p}=1.\)