Multiple choice

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg, so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

  1. 36 kg

  2. 42 kg

  3. 54 kg

  4. 63 kg

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

Let the sugar mixed = x kg Then, CP of x kg at Rs 9 per kg = Rs. 9x CP of 27 kg of sugar at Rs 7 per kg = Rs.189 Total CP = Rs. (9x + 189) Total weight of mixture = (x + 27) kg. Then, the SP of (x + 27) kg =Rs. (x + 27)9.24 According to the question, SP = CP(100 + P%)/100 ( x + 27)9.24 = (9x + 189)(100 + 10)/100  After solving this equation, we get x = 63. Therefore, 63 kg is the correct answer.

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