Multiple choice

The concentration of solution A and that of B are in the ratio 4 : 5. Solution A is obtained by mixing two other solutions X and Y having same ingredients in the ratio 2 : 3, while solution B is obtained by mixing the solutions X and Y in the ratio 2 : 1. If solution X is 20% concentrated, find the concentration of solution B.

  1. 16%

  2. 20%

  3. 25%

  4. 36%

  5. 28%
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A Correct answer
Explanation

Let X = 20%. Since X and Y are mixed in 2:3 for A and 2:1 for B, we need Y's concentration. However, the problem implies a specific calculation. Using the ratio of concentrations 4:5, if A = 4k and B = 5k, we solve for the mixture. Given the constraints, 16% is the mathematically consistent result for the concentration of B.

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