Multiple choice

In a mixture percentage of water is 65%. When 18 liter mixture containing 30% water is mixed in this the percentage of water becomes 50%. Find the initial quantity of mixture. (in liters)

  1. 18

  2. 36

  3. 27

  4. 30

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let initial quantity be x liters with 65% water. Water in initial mixture = 0.65x. Added mixture has 30% water in 18L = 5.4L water. Final mixture: (x + 18) liters with 50% water = 0.5(x + 18) water. Equation: 0.65x + 5.4 = 0.5(x + 18). Solving: 0.65x + 5.4 = 0.5x + 9, giving 0.15x = 3.6, so x = 24L. Since 24 is not in options A-D, answer is E (None of these).

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