Prabodh bought 30 kg of rice at the rate of Rs 8.50 per kg and 20 kg of rice…

2023

Prabodh bought 30 kg of rice at the rate of Rs 8.50 per kg and 20 kg of rice at the rate of Rs.9.00 per kg. He mixed the both. At what price (App.) per kg should he sell the mixture in order to get 20% profit?

  1. A.

    Rs.9.50

  2. B.

    Rs.8.50

  3. C.

    Rs.10.50

  4. D.

    Rs.11

Attempted by 4 students.

Show answer & explanation

Correct answer: C

Step-by-Step Solution

To find the selling price per kg for a 20% profit, we must first determine the total cost and the cost per kg of the mixture.

  1. Calculate Total Cost:

    • Cost of 30 kg rice = 30 * 8.50 = 255 Rs.

    • Cost of 20 kg rice = 20 * 9.00 = 180 Rs.

    • Total Cost = 255 + 180 = 435 Rs.

  2. Calculate Total Quantity and Average Cost Price (CP):

    • Total weight = 30 + 20 = 50 kg.

    • Cost Price per kg = Total Cost / Total weight = 435 / 50 = 8.70 Rs.

  3. Calculate Selling Price (SP) for 20% Profit:

    • Desired Profit = 20% of 8.70 = 0.20 * 8.70 = 1.74 Rs.

    • Selling Price per kg = CP + Profit = 8.70 + 1.74 = 10.44 Rs.

Given the options, 10.44 Rs. is closest to 10.50 Rs.

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