Multiple choice

A shopkeeper mixed two qualities of rice in the ratio 4 : 1 and sold the mixture at Rs. 72 per kg for a profit of 12.5%. If the cost of second quality of rice is Rs. 3.25 more per kg than the first quality of rice, what is the cost per kg of the rice of first quality?

  1. Rs. 63.75

  2. Rs. 63.35

  3. Rs. 62.83

  4. Rs. 62.45

  5. Rs. 62.23
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost of first quality be x and second be x + 3.25. Ratio 4:1. Total cost = (4x + 1(x + 3.25)) / 5 = (5x + 3.25) / 5 = x + 0.65. Selling price = 72, profit 12.5%. Cost = 72 / 1.125 = 64. So x + 0.65 = 64, x = 63.35.

AI explanation

Find the overall cost price of the mixed rice by dividing the selling price by 1 plus the profit percentage, giving 72 divided by 1.125, which equals Rs. 64. Let the cost of the first quality be x and the second be x plus 3.25. Using the weighted average formula, 4x plus 1 multiplied by (x plus 3.25) equals 64 multiplied by 5. Solving 5x plus 3.25 equals 320 yields x equals 63.35.

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