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At what price must kashif sell a mixture of 80 kg sugar at Rs. 6.75 per kg with 120 kg at Rs. 8 per kg to gain 20%?

Correct answer: D. Rs. 9 per kg

  • A. Rs. 7.50 per kg
  • B. Rs. 8.20 per kg
  • C. Rs. 8.85 per kg
  • D. Rs. 9 per kg

Explanation

The mixture costs 80 kg x Rs. 6.75/kg + 120 kg x Rs. 8/kg = Rs. 1,500 for 200 kg, so its cost per kilogram is Rs. 1,500 / 200 kg = Rs. 7.50/kg. For a 20% gain, the selling price must be Rs. 7.50/kg x 1.20 = Rs. 9/kg; the likely wrong choice is Rs. 8.85/kg, which does not provide a 20% profit on the weighted cost.

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Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.

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