Multiple choice

In what ratio must a grocer mix teas at Rs. $60$ kg and Rs. $65$ kg, so that by selling the mixture at Rs. $68.20$ kg, he may gain 10%

  1. $3:2$
  2. $3 : 4$
  3. $3 : 5$
  4. $4 : 5$
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A Correct answer
Explanation

Selling price = 68.20, gain = 10%. Cost price = 68.20 / 1.1 = 62. Using the alligation rule: (65 - 62) : (62 - 60) = 3 : 2.

AI explanation

First, find the cost price of the mixture by dividing the selling price of Rs. 68.20 by 1.10 (since there is a 10% gain), resulting in a cost price of Rs. 62 per kg. Using the rule of alligation between the tea costing Rs. 60 and the tea costing Rs. 65, the ratio is (65 - 62) : (62 - 60), which equals 3 : 2. The required mixing ratio is 3:2.

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