Multiple choice

Two varieties of rice are mixed in the ratio 2: 3. The price of the mixture is Rs 12 per kg and the price of the variety having lower weight is Rs 10 per kg. Find the price of the other variety.

  1. Rs 12

  2. Rs 12.5

  3. Rs 13

  4. Rs 13.33

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

Using allegation: Two rice varieties mixed in ratio 2:3. Let price of second variety be x. Using weighted average: (2×10 + 3×x)/(2+3) = 12. Solving: 20 + 3x = 60, so 3x = 40, x = 40/3 ≈ 13.33. Option D (Rs 13.33) is correct. Option A equals the mixture price, not the individual variety price. Options B and C are incorrect calculations.

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