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Question 33 : 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

  1. 1
  2. 1.2
  3. 0.7
  4. 0.50

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Explanatory Answer

The Shopkeeper procures the table at price 'p'

He gains 20% on the transaction with Amal
So, Amal buys the table at '1.2p'
Amal sells athe table at 30% profit,
So the Selling Price of Amal = 1.3 * 1.2p = 1.56p
x = 1.56p

The Shopkeeper looses 20% on the transaction with Asim
So, Asim buys the table at '0.8p'
Asim sells athe table at 30% loss,
So the Selling Price of Asim = 0.7 * 0.8p = 0.56p
y = 0.56p

(x-y)/p = (1.56p - 0.56p)/p = 1.


The question is " 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 "

Hence, the answer is 1

Choice A is the correct answer.

 

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