Multiple choice

If the cost prices of articles A and B are in the ratio 3:4 and the selling prices are in the ratio 5:6 and the profit obtained on selling both of them is the same. What is the profit percentage on selling article B?

  1. 30%

  2. 40%

  3. 50 %

  4. 20%

  5. 10%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP ratio A:B = 3x:4x. SP ratio A:B = 5y:6y. Profit A = 5y-3x, Profit B = 6y-4x. Given 5y-3x = 6y-4x, so x = y. Profit A = 5x-3x = 2x. Profit B = 6x-4x = 2x. Profit % on B = (Profit / CP) * 100 = (2x / 4x) * 100 = 50%.

AI explanation

Let the cost prices of articles A and B be 3x and 4x, and their selling prices be 5y and 6y. Since the profits are equal, 5y - 3x = 6y - 4x, which simplifies to x = y. The cost price of B is 4x and its selling price is 6x. Using the profit percent formula, Profit % = ((6x - 4x) / 4x) * 100 = (2x / 4x) * 100, which gives a 50% profit.

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