Since first and second varieties are mixed in equal proportions.
So, their average price = Rs. |
❨ |
126 + 135 |
❩ |
= Rs. 130.50 |
2 |
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.
By the rule of alligation, we have:
Cost of 1 kg of 1st kind Cost of 1 kg tea of 2nd kind |
Rs. 130.50 |
Mean Price
Rs. 153 |
Rs. x |
(x - 153) |
22.50 |
⟹ x - 153 = 22.50
⟹ x = 175.50