High School

Tea worth Rs. 126 per kg and Rs. 135 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:

Answer :

Final answer:

The price of the third variety per kg is rs. 175.5.

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.