Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in…

20242024

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:

  1. A.

    Rs 255

  2. B.

    Rs 175.50

  3. C.

    Rs 282

  4. D.

    Rs 261

Attempted by 11 students.

Show answer & explanation

Correct answer: B

Let the price of the third variety be x (Rs per kg). The three varieties are mixed in the ratio 1 : 1 : 2, so the weighted average price is:

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

  2. Combine the known prices: 126 + 135 = 261, so (261 + 2x)/4 = 153

  3. Multiply both sides by 4: 261 + 2x = 612

  4. Solve for x: 2x = 612 - 261 = 351, so x = 351/2 = 175.50

Answer: Rs 175.50 per kg

Explore the full course: Infosys Preparation