A producer of tea blends two varieties of tea from two tea gardens one costing…

2023

A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5:3 . If he sells the blended variety at Rs 21 per kg , then his gain percent is

  1. A.

    15%

  2. B.

    13%

  3. C.

    14%

  4. D.

    12%

Attempted by 5 students.

Show answer & explanation

Correct answer: D

Answer: 12%

  1. Take quantities in the given ratio: 5 kg of the Rs 18 tea and 3 kg of the Rs 20 tea.

  2. Total cost (CP) = 5*18 + 3*20 = 90 + 60 = 150 rupees.

  3. Total selling price (SP) for 8 kg = 8*21 = 168 rupees.

  4. Profit = SP - CP = 168 - 150 = 18 rupees.

  5. Profit percent = (Profit / CP) * 100 = (18 / 150) * 100 = 12%.

Alternate quick method:

  • Average cost per kg = (5*18 + 3*20) / 8 = 150 / 8 = 18.75 rupees.

  • Profit per kg = 21 - 18.75 = 2.25 rupees → (2.25 / 18.75) * 100 = 12%.

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