Multiple choice

By selling sugar at Rs. 17 per kg, a tradesman calculates that he will make a profit of 15%. But through faulty scales, he sells 1 kg, which is actually 0.8 kg. What profit/loss percent does he actually get?

  1. 35% loss

  2. 43.6% gain

  3. 48.25% loss

  4. 40% gain

  5. 25% loss
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price of 1 kg be 100. Selling price for 1 kg is 115. However, the tradesman only sells 0.8 kg for 115. The cost of 0.8 kg is 80. Profit = 115 - 80 = 35. Profit percentage = (35 / 80) * 100 = 43.75%. The closest option is 43.6%.

AI explanation

If 0.8 kg is sold at 17 rupees, the effective selling price per kg for the trader is 17 divided by 0.8, which is 21.25 rupees. The actual cost price per kg is 17 divided by 1.15, which is approximately 14.78 rupees. The actual profit percentage is 21.25 minus 14.78 divided by 14.78, giving an actual gain of 43.6 percent.

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