Multiple choice

CP of x articles is equal to SP of y articles for which the profit is 25%. A person purchases an article for Rs. (3x + y) and sells it for Rs. (5x + 2y). Find his total profit percentage.

  1. 73.7%

  2. 74.6%

  3. 75.4%

  4. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

Since the cost price of x articles equals the selling price of y articles at a 25 percent profit, we have 125y = 100x, which gives x = 1.25y. Substituting this into the purchase price of Rs. (3x + y) yields Rs. 4.75y, and substituting it into the selling price of Rs. (5x + 2y) yields Rs. 8.25y. The profit is Rs. 3.5y on a cost of Rs. 4.75y, so the total profit percentage is (3.5 / 4.75) * 100 = 73.7 percent.