Multiple choice

Sambhu buys rice at Rs 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage?

  1. 50%

  2. 40%

  3. 18%

  4. 10%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost price of 1000g = Rs 10. He marks it to earn 20% profit, so marked price = Rs 12. However, the balance shows 1000g for 800g. He sells 800g for Rs 12. The cost of 800g is Rs 8. Profit = 12 - 8 = 4. Profit percentage = (4 / 8) * 100 = 50%.

AI explanation

Using the cost price formula, the intended selling price for 20% profit on Rs. 10 is 10 + 2 = Rs. 12. Because of the faulty balance showing 1000 gm for 800 gm, he sells 800 gm for the price of 1000 gm, making the selling price of 800 gm equal to 12 times 1000, which is Rs. 1200. The actual cost price of 800 gm is 10 times 800, which equals Rs. 8000, but scaling down to 800 gm from 1 kg gives a cost of Rs. 8. The actual gain percentage formula gives profit of 1200 - 800 = 400 on 800, but working in rupees for 800 kg to keep the ratio, the gain is 1200 - 800 = 400 on 800, yielding 50%.

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