Anil mixes cocoa with sugar in the ratio 3:2 to prepare mixture A, and coffee with sugar in the ratio 7:3 to prepare mixture B. He combines mixtures A and B in the ratio 2:3 to make a new mixture C. If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be:
Question:
Anil mixes cocoa with sugar in the ratio 3:2 to prepare mixture A, and coffee with sugar in the ratio 7:3 to prepare mixture B. He combines mixtures A and B in the ratio 2:3 to make a new mixture C. If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be:
Anil mixes cocoa with sugar in the ratio 3:2 to prepare mixture A, and coffee with sugar in the ratio 7:3 to prepare mixture B. He combines mixtures A and B in the ratio 2:3 to make a new mixture C. If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be:
Options
Answer: (4) 17
Explanation:
In mixture A: sugar = 2/5. In mixture B: sugar = 3/10. In mixture C (2 parts A + 3 parts B): sugar = (2×2/5 + 3×3/10)/5 = (4/5 + 9/10)/5 = 17/50. When mixed with equal milk, final percentage = (17/50)/2 × 100 = 17%.
Explanation:
In mixture A: sugar = 2/5. In mixture B: sugar = 3/10. In mixture C (2 parts A + 3 parts B): sugar = (2×2/5 + 3×3/10)/5 = (4/5 + 9/10)/5 = 17/50. When mixed with equal milk, final percentage = (17/50)/2 × 100 = 17%.
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