Multiple choice

Mr. X mixed 10 kg of variety A rice with 15 kg of variety B rice and sold the mixture at a price 40% more than that of A. He did not get any profit. What is the ratio of the cost price of variety A to that of B per kg?

  1. 2:5

  2. 3:5

  3. 4:5

  4. 5:8

  5. 6:8
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of A be x and B be y. Total cost = 10x + 15y. Total weight = 25 kg. Selling price per kg = (10x + 15y) / 25. Selling price = 1.4x. So, (10x + 15y) / 25 = 1.4x. 10x + 15y = 35x. 15y = 25x. x/y = 15/25 = 3/5.

AI explanation

Let the cost prices of variety A and variety B be a and b per kg, respectively. The total cost price of the 25 kg mixture is 10a + 15b. Since selling the mixture at a price 40% more than the cost of A yields no profit, the total selling price is 25 * 1.4a = 35a. Equating the cost and selling prices gives 10a + 15b = 35a, which simplifies to 15b = 25a. The ratio of the cost price of variety A to that of variety B is a / b = 15 / 25 = 3 : 5. The ratio is 3:5.

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