Multiple choice

One vessel contains 50% spirit and the other contains 40% spirit. A mixture is formed by adding 100 litres from the first vessel and 60 litres from the second vessel. What will be the concentration of spirit in the new mixture?

  1. 43.25%

  2. 46.25%

  3. 47.15%

  4. 48.25%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total spirit = (100 * 0.50) + (60 * 0.40) = 50 + 24 = 74 litres. Total mixture = 100 + 60 = 160 litres. Concentration = (74 / 160) * 100 = 46.25%.

AI explanation

The first vessel provides 50 liters of spirit from the 100 liters, and the second vessel provides 24 liters of spirit from the 60 liters, calculated as 40 percent of 60. The total spirit in the new mixture is 50 plus 24, equaling 74 liters, within a total volume of 160 liters. The concentration is found by dividing 74 by 160 and multiplying by 100, resulting in 46.25 percent.

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