# GMAT Practice | Ratio Mixtures Q4

#### GMAT Sample Questions | Mixtures Alligation Question Bank

The given question is a GMAT 600 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

## GMAT Live Online Classes

### Explanatory Answer | GMAT Mixtures Alligation Q4

#### 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

#### GMAT Online CourseTry it free!

Register in 2 easy steps and
Start learning in 5 minutes!

#### GMAT Live Online Classes

Next Batch Sep 14, 2021

Next Batch
after Lockdown

#### GMAT Coaching in Chennai

Sign up for a Free Demo of our GMAT Classes in Chennai

## Additional Practice Questions in Ratio Proportion, Mixtures, Percents, Fractions, Profits, and Interest

##### Where is Wizako located?

Wizako - GMAT, GRE, SAT Prep
An Ascent Education Initiative
14B/1 Dr Thirumurthy Nagar 1st Street
Nungambakkam
Chennai 600 034. India

##### How to reach Wizako?

Phone: (91) 44 4500 8484
Mobile: (91) 95000 48484
WhatsApp: WhatsApp Now
Email: learn@wizako.com