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Find the ratio in which wheat of inferior quality (Rs.14/kg) be mixed with wheat of superior quality (Rs.28/kg) so that the shopkeeper gains Rs.2 by selling the resulting mixture at Rs.20/kg.

  • A.1 : 3
  • B.5 : 2
  • C.3 : 4
  • D.2 : 5

Answer: B

Let the resulting mixture be 1 kg, and x kg be the amount of wheat of inferior quality.

Therefore, (1-x)kg is the amount of wheat of superior quality.

As the shopkeeper gains Rs.2, the cost of the mixture is Rs.18

14 × x + 28 × (1-x) = 18

14x - 28x + 28 = 18

14x = 10

x = 5/7

(1 – x) = 2/7

x : (1-x) = 5/7 : 2/7

= 5 : 2

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