Multiple choice

A fruit vendor buys fruits at Rs. 112/kg and sells at a loss of 12.5%. If he decides to sell fruits at 25% above the current selling price, after giving a discount of 65%, then find the difference between the current marked price and the cost price.

  1. Rs. 238

  2. Rs. 252

  3. Rs. 264

  4. Rs. 314

  5. Rs. 380
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A Correct answer
Explanation

CP = 112. Loss 12.5% means SP = 112 * 0.875 = 98. Current SP = 98. New SP = 98 * 1.25 = 122.5. Discount 65% on MP means 0.35 * MP = 122.5, so MP = 350. Difference between MP and CP = 350 - 112 = 238.

AI explanation

The vendor buys fruits at Rs. 112 per kg and sells at a loss of 12.5%, so the current selling price is 112 times (1 - 0.125) which equals Rs. 98. He decides to sell at 25% above this current selling price, making the new selling price 98 times 1.25, which is Rs. 122.5. To achieve this new selling price after a 65% discount, the marked price must be 122.5 divided by (1 - 0.65), which equals Rs. 350. The difference between this marked price and the cost price is 350 - 112, resulting in Rs. 238.

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