Mixtures Alligation

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%?

  1. 3 : 2
  2. 3 : 5
  3. 3 : 4
  4. 4 : 5

Answer

Selling Price of tea mixture = Rs.68.20

For 10% profit, cost price of the mixture of tea should be Rs.62.

Using rule of alligation,

Cheaper Value: Rs. 60

Dearer Value: Rs. 65

Mean Value: Rs. 62

Ratio of quantities:

(65 - 62) : (62 - 60) = 3 : 2

The correct option in A.