Multiple choice

A solution of 'THANDA SHARBAT' has 15% sugar. Another solution has 5% sugar. How many liters' of the second solution must be added to the 20L of first solution to make a solution of 10 % sugar?

  1. 10 L

  2. 5 L

  3. 15 L

  4. 20 L
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the amount of the second solution. Using the mixture formula: (15% * 20 + 5% * x) / (20 + x) = 10%. 3 + 0.05x = 0.1(20 + x) = 2 + 0.1x. 1 = 0.05x, so x = 20L.

AI explanation

Using the method of alligation, the ratio of the 15% solution to the 5% solution needed to achieve a 10% mixture is (10 - 5) : (15 - 10), which equals 5 : 5 or 1 : 1. Since 20 liters of the first solution are used, an equal amount of 20 liters of the second solution must be added.

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