Multiple choice

A wholesale rice dealer purchased three different varieties of rice at the rates of Rs. 21/kg, Rs. 18/kg and Rs. 15/kg. He then mixed them in the ratio 3 : 4 : 5 and then sold the mixture at a profit of 40%. What is the selling price of the mixture?

  1. Rs. 22.50

  2. Rs. 24.50

  3. Rs. 25

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Weighted average cost = (3*21 + 4*18 + 5*15) / (3+4+5) = (63 + 72 + 75) / 12 = 210 / 12 = 17.5. Selling price at 40% profit = 17.5 * 1.4 = 24.5.

AI explanation

Assume the dealer buys 12 kg of the mixture, meaning he buys 3 kg, 4 kg, and 5 kg of the three varieties. The total cost price for these 12 kg is (3 times 21) plus (4 times 18) plus (5 times 15), which equals 63 + 72 + 75 = Rs. 210, making the cost price per kg equal to Rs. 17.50. To find the selling price at a 40% profit, multiply 17.50 by 1.40 to get Rs. 24.50.

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