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In what ratio must a grocer mix teas 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

A selling price of Rs.68.20 per kg at a 10% gain means the mixture's cost price is Rs.68.20 per kg / 1.10 = Rs.62 per kg. Alligation gives tea at Rs.60 per kg : tea at Rs.65 per kg = (Rs.65 - Rs.62) : (Rs.62 - Rs.60) = 3:2. The likely mistake is option b, 3:4, which does not produce an average cost of Rs.62 per kg.

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