Alligation Q15

15. Tea worth Rs 126 per Kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs 153 per Kg ,the price of the third variety per Kg will be?

Solution:

Since First and second varieties are mixed in equal proportions

so their average price =Rs (126+135)/2 = 130.50.

So the mixture is formed by mixing two varieties ,one at

Rs 130.50 per Kg and the other at say Rs x per Kg in the

ratio 2:2 i e,1:1 we have to find x.

Costof 1Kg tea of 1st kind RS 130.50  Costof 1Kg tea of 2n d 

kind  Rs x.

                   Mean Price Rs 153

         x-153                           22.50

(x=153)/22.5 = 1 =>x-153 = 22.5

x = 175.50.

Price of the third variety =Rs 175.50 per Kg.