Multiple choice

A shopkeeper sells two tables, eachprocured at cost price p, to Asif and Arif ata profit of 20% and at a loss of 20%,respectivelyAsif sells his table to Adil at a profit of30%, while Arif sells his table to Alif at aloss of 30%. If the amounts paid by Adiland Alif are x and y, respectively, then (x -y) / p equals to:

  1. 1

  2. 2

  3. 3

  4. 1.4

  5. 3.7
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Asif's cost = p, sells at 20% profit = 1.2p. Adil buys at 1.2p, sells at 30% profit = 1.2p * 1.3 = 1.56p. Arif's cost = p, sells at 20% loss = 0.8p. Alif buys at 0.8p, sells at 30% loss = 0.8p * 0.7 = 0.56p. x = 1.56p, y = 0.56p. (x-y)/p = (1.56p - 0.56p)/p = 1.

AI explanation

Adil pays the cost price p multiplied by 1.20 and then by 1.30, so x equals 1.56p. Alif pays the cost price p multiplied by 0.80 and then by 0.70, so y equals 0.56p. The expression (x minus y) divided by p becomes (1.56p minus 0.56p) divided by p, which simplifies to exactly 1.

Keep practicing — related questions