Multiple choice

A man sells two articles for the same price for Rs. $640$. He earns $20\%$ profit on the first and $10\%$ profit on the second. Find the over all percent profit.

  1. $14.78\%$
  2. $14.08\%$
  3. $14.58\%$
  4. $14.68\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Selling price = 640 each. CP1 = 640 / 1.2 = 533.33. CP2 = 640 / 1.1 = 581.82. Total CP = 1115.15. Total SP = 1280. Profit = 164.85. Profit % = (164.85 / 1115.15) * 100 = 14.78%.

AI explanation

Using the cost price formula, the cost price of the first article is 640 / 1.20, which is Rs. 1600/3. The cost price of the second article is 640 / 1.10, which is Rs. 6400/11. The total cost price is 1600/3 + 6400/11 = 36800/33, and the total selling price is 1280. The overall profit percentage is ((1280 - 36800/33) / (36800/33)) multiplied by 100, resulting in 14.78%.

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