Multiple choice

A producer blends two qualities of rice. One costing Rs. $12.50 $ per kg and the other costing Rs. $14$ per kg in the ratio 4: 5. Find his profit percent if he sells the mixture at the rate of Rs. $16$ per kg.

  1. $25$%
  2. $15$%
  3. $20$%
  4. $10$%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost price of 4kg at 12.50 = 50. Cost price of 5kg at 14 = 70. Total cost = 120 for 9kg. Selling price = 9 * 16 = 144. Profit = 144 - 120 = 24. Profit percent = (24/120) * 100 = 20%.

AI explanation

Using the ratio 4:5, assume the mixture contains 4 kg of the first rice and 5 kg of the second rice. The total cost price is (4 * 12.50) + (5 * 14) = 50 + 70 = Rs 120, and the total selling price is 9 * 16 = Rs 144. Applying the profit percentage formula, Profit Percentage = ((144 - 120) / 120) * 100, we get (24 / 120) * 100 = 20%.

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