Question

Two varieties of Coffee worth Rs. 126 per kg and Rs. 130 per kg are mixed with a third variety in the ratio 1: 1: 2. If the resulting mixture is worth Rs. 172 per kg, then the price (Rs. /kg) of the third variety of the coffee is___

Answer 1

Two varieties @ Rs. 126 and Rs. 130 are mixed in equal ratio of 1: 1. So, their average price can be taken as $\frac{(126+130)}{2}=Rs.128$ per kg. Now we have two varieties: one at the rate Rs. 128 per kg and other at the rate Rs. x per kg which are mixed in the ratio 2: 2 or 1: 1 to give a resulting mixture of Rs. 172 per kg.

Applying Alligation:

$\frac{X-172}{44}=\frac{1}{1}$

x = 216.

So, the price of the third variant is Rs. 216 per kg.