How many approximate kgs of sugar costing ₹45 per kg must be mixed with 25 kg…

2025

How many approximate kgs of sugar costing ₹45 per kg must be mixed with 25 kg of sugar costing ₹32 per
kg so that a 15% gain may be obtained by selling the mixture at ₹43.70 per kg?

  1. A.

    15 kg

  2. B.

    25 kg

  3. C.

    21 kg

  4. D.

    18 kg

Attempted by 1 students.

Show answer & explanation

Correct answer: C

A 15% gain at a selling price of Rs 43.70 means the mixture cost price is 43.70/1.15 = Rs 38 per kg.

Let x kg of Rs 45 sugar be mixed with 25 kg of Rs 32 sugar.

(45x + 25 x 32)/(x + 25) = 38 gives x = 150/7, approximately 21 kg.

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