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Question

Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:

The correct answer is

123

Let the price of the third variety be x. Using the rule of mixtures, we have: (2 × 43 + 1 × 67 + 5 × x) / 8 = 96. Solving for x, we get x = ₹123.

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Important Questions from Mixture and Alligation

  1. My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.

  2. 42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.

  3. 15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.

  4. If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:

  5. Simplify:

    25 - (18 - 4 × 9 ÷ 3)

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