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Tea worth of Rs. 135/kg and Rs. 126/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____?

Rs. 169.50
Rs.1700
Rs. 175.50
Rs. 180

Correct Answer: Rs. 175.50

Explanation:

Given:

Tea A = Rs. 135/kg
Tea B = Rs. 126/kg
Tea C = Rs. x/kg (unknown)
They are mixed in the ratio 1 : 1 : 2
Mixture price = Rs. 153/kg

Step 1: Use the weighted average formula

Let the total parts = 1 + 1 + 2 = 4

Weighted average formula:

(1 × 135 + 1 × 126 + 2 × x) / 4 = 153

Step 2: Simplify the equation

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

(261 + 2x) / 4 = 153

Step 3: Multiply both sides by 4

261 + 2x = 612

Step 4: Solve for x

2x = 612 - 261 = 351

x = 351 / 2 = 175.5

Final Answer: Rs. 175.50 per kg

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