Multiple choice

A grocer purchased 80 kg of sugar at Rs. 13.50 per kg and mixed it with 120 kg sugar at Rs. 16 per kg. At what rate should he sell the mixture to gain 16%?

  1. Rs. 17 per kg

  2. Rs. 17.40 per kg

  3. Rs. 17.50 per kg

  4. Rs. 16 per kg

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

Total cost = (80 * 13.50) + (120 * 16) = 1080 + 1920 = 3000. Total weight = 200 kg. Cost per kg = 3000 / 200 = 15. To gain 16%, selling price = 15 * 1.16 = 17.40.

AI explanation

The total cost of the 80 kg of sugar at Rs. 13.50 per kg is Rs. 1080, and the total cost of the 120 kg at Rs. 16 per kg is Rs. 1920. The overall cost price per kg for the 200 kg mixture is (1080 + 1920) divided by 200, which equals Rs. 15. To gain a 16 percent profit, the selling price is 116 percent of Rs. 15, calculated as 15 multiplied by 1.16. The selling rate should be Rs. 17.40 per kg.

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