Rani mixes 70 kg of sugar worth Rs. 28.50 per kg with 100 kg of sugar worth…

2025

Rani mixes 70 kg of sugar worth Rs. 28.50 per kg with 100 kg of sugar worth Rs. 30.50 per kg. At what rate shall he sell the mixture to gain 10%?

  1. A.

    Rs. 29.75

  2. B.

    Rs. 32.64

  3. C.

    Rs. 9.75

  4. D.

    Rs. 2.75

Attempted by 20 students.

Show answer & explanation

Correct answer: B

Answer: Rs. 32.64

  1. Compute total cost: 70 × 28.50 + 100 × 30.50 = 1,995 + 3,050 = 5,045.

  2. Total weight = 70 + 100 = 170 kg.

  3. Cost price (CP) per kg = 5,045 ÷ 170 ≈ 29.676470588 (≈ 29.67647).

  4. Selling price for 10% gain = CP per kg × 1.10 = 29.67647 × 1.10 ≈ 32.64412 ≈ Rs. 32.64.

  5. Therefore, sell the mixture at Rs. 32.64 per kg to gain 10%.

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