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

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Tea worth Rs.126 per kg and Rs.135 per kg is 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.169.50

  2. B.

    Rs.156.6

  3. C.

    Rs.175.50

  4. D.

    Rs.180

Attempted by 13 students.

Show answer & explanation

Correct answer: C

Solution:

  1. The ratio 1:1:2 corresponds to fractions 1/4, 1/4, and 1/2 of the mixture.

  2. Let P be the price (Rs. per kg) of the third variety. Set up the weighted-average equation:

    126 × 1/4 + 135 × 1/4 + P × 1/2 = 153

  3. Compute the known terms: 126/4 = 31.5 and 135/4 = 33.75, so

    31.5 + 33.75 + P/2 = 153 ⇒ P/2 = 153 − 65.25 = 87.75

  4. Therefore P = 2 × 87.75 = Rs.175.50

Answer: Rs.175.50 per kg

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