Multiple choice

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

  2. 1

  3. 0.7

  4. 0.50
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Amal buys at p and sells at 1.2p to Bimal, so x = 1.2p * 1.3 = 1.56p. Asim buys at p and sells at 0.8p to Barun, so y = 0.8p * 0.7 = 0.56p. Then (x - y)/p = (1.56p - 0.56p)/p = 1.

AI explanation

Using the successive selling price formula, Amal's final selling price x equals p multiplied by 1.2 and then by 1.3, which gives 1.56p. Asim's final selling price y equals p multiplied by 0.8 and then by 0.7, which gives 0.56p. The difference x minus y is 1.56p minus 0.56p, resulting in exactly 1.0p. Dividing this difference by p gives the final value of 1.

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