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### Question

In what ratio should a vendor mix two types of pulses costing Rs. 19/Kg and Rs. 4/Kg respectively so as to get a mixture of Rs. 14/Kg?

**A**

2.

**B**

3.

**C**

4.

**D**

$1{2/3}$.

**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} = 4, A_{1} = 19, A = 14 we have n_{1} × (14 - 19) = n_{2} × (4 - 14), from where we get the required ratio as $n_1/n_2 = 2 : 1$.