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, what is the price of the third variety per kg?

A. Rs. 174.50
B. Rs. 170
C. Rs. 169.50
D. Rs. 180

Answer :

The price of the third variety is indeed Rs. 175.50 per kg.

Let the price of the third variety be Rs. x per kg.

Since the teas are mixed in the ratio 1:1:2, the total weight of each variety in 1 kg of the mixture is:

1/4 kg for the first variety (Rs. 126 per kg)

1/4 kg for the second variety (Rs. 135 per kg)

1/2 kg for the third variety (Rs. x per kg)

The total cost of the mixture per kg is Rs. 153.

We can set up an equation based on the weighted average cost:

153 = (1/4 * 126) + (1/4 * 135) + (1/2 * x)

Solve the equation for x:

153 = 31.5 + 33.75 + 0.5x

x = (153 - 65.25) / 0.5

x = 175.5

Therefore, the price of the third variety is Rs. 175.50 per kg. So the answer is (c).

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