Final answer:
The price of the third variety per kg is rs. 175.5.
Step-by-step explanation:
Let's assume that the price of the third variety of tea is x rupees per kg.
According to the given information, the weight of the first variety is equal to the weight of the second variety, and the weight of the third variety is double that of the first and the second.
Using the concept of ratios, we can set up an equation:
(1 * 126) + (1 * 135) + (2 * x) = 153 * 4
Simplifying, we get:
126 + 135 + 2x = 612
261 + 2x = 612
2x = 612 - 261
2x = 351
x = 351/2
x = 175.5
Therefore, the price of the third variety per kg is rs. 175.5.