Multiple choice

30% of CP of product A is 21% of SP of product A and now the shopkeeper plans to sell product A at a 15% discount (Assume initially, the shopkeeper was not offering any discount). Find the profit percentage for the shopkeeper.

  1. 20.84%

  2. 21.11%

  3. 21.42%

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

30% CP = 21% SP => SP = (30/21) * CP = (10/7) * CP. Profit = (10/7 - 1) = 3/7 = 42.85%. With a 15% discount on SP, new SP = 0.85 * (10/7) * CP = 8.5/7 * CP = 1.21428 * CP. Profit = 21.42%.

AI explanation

Let the cost price be 100, so 30% of the cost price is 30. This equals 21% of the initial selling price, meaning the initial selling price is (30 / 21) multiplied by 100, which equals 142.85. The shopkeeper now plans to sell the product at a 15% discount on this initial selling price, making the new selling price 85% of 142.85, which is 121.42. Using the profit percentage formula, the profit percent is ((121.42 minus 100) / 100) multiplied by 100, resulting in a profit of 21.42%.

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