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### Question

12 Kg of Grade I sugar costing Rs. 23/Kg is mixed with 4 Kg of Grade II sugar costing Rs. 11/Kg. What is the price of the mixture per Kg?

**A**

Rs. 20 per Kg.

**B**

Rs. 21 per Kg.

**C**

Rs. 19 per Kg.

**D**

Rs. 23 per Kg.

**Soln.**

**Ans: a**

We shall use the alligation formula. If a sample n_{1} has an average price of A_{1}, and another sample n_{2} has an average price of A_{2}, then the price of the mixture, A, is determined by the alligation formula as: n_{1}(A - A_{1}) = n_{2}(A_{2} - A). Putting A_{2} = 11, A_{1} = 23, n1 = 12, n2 = 4, we have 12 × (A - 23) = 4 × (11 - A), from where we get A = Rs. 20 per Kg.