Question

A retailer buys lentil A at Rs. 20.40 a kg and lentil B at rs. 18.60 a kg. He wants to miss A and B to a new mixture C that costs Rs. 19.40 a kg. in what ratio should he mix lentil A nd B to do so?

Answer 1

The retailer needs to mix A and B-type lentils in an 8: 10 ratio.

Given:

A retailer bought lentil A at Rs. 20.40 a kg and lentil B at rs. 18.60 a kg. He wanted to mix A and B with a new mixture C that costs Rs. 19.40 a kg.

To Find:

In what ratio should the retailer mix lentils A and B.

Solution:

We have,

Cost of Lentil A = Rs. 20.40/kg

Cost of Lentil B = Rs. 18.60/kg

Cost of the mixture = Rs. 19.40/kg

Here, the best way to derive the ratio is to use the "alligation" method.

In the alligation method, we simply need to check the alligation alternate and subtract the main cost from the mid-cost. As the units are the same, we will have,

19.40 - 18.60 = 0.8

20.40 - 19.40 = 1

Thus the ratio becomes 0.8 :1 or, 8:10.

So, The retailer needs to mix A and B-type lentils in an 8: 10 ratio.

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