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In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

Correct answer: A. 3 : 2

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

Explanation

At a 10% gain, the cost price of the mixture is Rs.68.20 per kg / 1.10 = Rs.62 per kg. Therefore the ratio of Rs.60 per kg tea to Rs.65 per kg tea is (Rs.65 - Rs.62) : (Rs.62 - Rs.60) = 3:2. The likely mistake is option b, 3:4, which gives too much of the dearer tea and raises the average cost above Rs.62 per kg.

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