Multiple choice

A trader mixes some quantity of basmati rice costing Rs. 84 per kg with 35 kg of ordinary rice costing Rs. 48 per kg. If he sells the mixture at Rs. 80 per kg and makes a profit of 25%, then how much quantity of basmati rice does he mix?

  1. 25 kg

  2. 28 kg

  3. 30 kg

  4. 33 kg

  5. 35 kg
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the quantity of basmati rice. Total cost = 84x + 35*48. Total revenue = 80(x+35). Profit is 25%, so Revenue = 1.25 * Cost. 80(x+35) = 1.25 * (84x + 1680). 80x + 2800 = 105x + 2100. 700 = 25x, so x = 28.

AI explanation

The selling price of the mixture yields a 25 percent profit, so the cost price of the mixture per kg is 80 divided by 1.25, which equals Rs. 64. Using the rule of alligation between the Rs. 84 basmati rice and the Rs. 48 ordinary rice, the ratio of their quantities is (64 minus 48) to (84 minus 64). This simplifies to 16 to 20, or 4 to 5. Since 5 parts correspond to the 35 kg of ordinary rice, 1 part is 7 kg, making the 4 parts of basmati rice equal to 28 kg.

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