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### Question

A milkman has 3 liters of 2% curd, and 2 liters of 12% curd. If he mixes equal quantities of the two curd samples, then what is the percentage curd in the mixture?

**A**

6%.

**B**

7%.

**C**

5%.

**D**

9%.

**Soln.**

**Ans: a**

We shall use the alligation formula. If a sample n_{1} has an average property of A_{1}, and another sample n_{2} has an average property of A_{2}, then the average property of the mixture, A, is determined by the alligation formula as: n_{1}(A - A_{1}) = n_{2}(A_{2} - A). Putting A_{2} = 12, A_{1} = 2, n1 = 3, n2 = 2, we have 3 × (A - 2) = 2 × (12 - A), from where we get A = 6%. *The "property" in the alligation formula could be percentage, speed, weight, price, etc.,*