GMAT Practice | Ratio Mixtures Q4

GMAT Sample Questions | Mixtures Alligation Question Bank

The given question is a GMAT 575 level problem solving question from Mixtures & Alligation. This GMAT sample question tests the concept of computing the ratio in which two liquids should be mixed. An ideal question to apply the Rule of Alligation to compute the ratio in which two individual components of a mixture should be mixed.

Question 4: In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?

  1. 1 : 2
  2. 2 : 1
  3. 1 : 3
  4. 3 : 1
  5. 2 : 3

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Explanatory Answer | GMAT Mixtures Alligation Question 4

Method 1: Using Linear Equations

Let x litres of 20% methyl alcohol solution be mixed with y litres 50% methyl alcohol solution.
If we find the values of x and y, we have found the ratio in which the two liquids are mixed.

   Volume Volume of Methyl Alcohol
20% Solution x litres 0.2x
50% Solution y litres 0.5y
Final mixture x + y litres 0.4(x + y)

The volume of methyl alcohol found in the final mixture is the sum of the volumes of methyl alcohol in the 20% and 50% solutions.
0.4x + 0.4y = 0.2x + 0.5y
Or 0.2x = 0.1y
Or \\frac {x} {y}) = \\frac {0.1} {0.2})
So, the ratio x : y = 1 : 2

Method 2: Using Alligations

alligation diagram

Choice A is the correct answer.

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