Multiple choice

A shopkeeper sells two refrigerators one at a loss of 25% and the other at a profit of 22%. If the cost price of the loss and profit refrigerators are in the ratio of 3 : 4 respectively. Then find how much profit percentage he made on selling both the refrigerators?

  1. 8 4/5%

  2. 1 6/7%

  3. 4 4/5%

  4. 6 2/3%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP1 = 3k, CP2 = 4k. Loss on 1st = 0.25 * 3k = 0.75k. Profit on 2nd = 0.22 * 4k = 0.88k. Net profit = 0.88k - 0.75k = 0.13k. Total CP = 7k. Profit % = (0.13k / 7k) * 100 = 13/7 = 1.857%. This is 1 6/7%.

AI explanation

Using the ratio 3 : 4, assume the cost prices of the refrigerators are Rs. 300 and Rs. 400, making the total cost price Rs. 700. The first refrigerator is sold at a 25% loss, resulting in a selling price of Rs. 225, while the second is sold at a 22% profit, resulting in a selling price of Rs. 488. The total selling price is Rs. 713, yielding an overall profit of Rs. 13 on the cost price of Rs. 700. Calculating (13 / 700) * 100 results in a profit percentage of 1 6/7%.

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