12 litres of a milk and water solution having… | GMAT Sprint

Free Practice Question

PS · Problem Solving

705-805

Fractions/Ratios/Decimals

12 litres of a milk and water solution having ratio of milk and water as 4 : 1 is mixed with 20 litres of another milk and water solution having ratio of milk and water in the ratio 5 : 1. Find the ratio of milk and water in the resultant solution.

Correct answer marked below

43 : 240

43 : 197

197 : 240

197 : 43

Correct

None of these

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Preview

Official Explanation

Official

This sum uses the concept of Compound Mixtures.

Ratio of M : W =

\frac{Total\ milk}{Total\ water}

\frac{Milk\ in\ 1 + Milk\ in\ 2}{Water\ in\ 1 + Water\ in\ 2}

Given:

Container 1 has 12 L of Milk and water in the ratio 4 : 1.

Container 2 has 20 L of Milk and water in the ratio 5 : 1.

Milk in 1 =

\frac{4}{5}

* 12 =

\frac{48}{5}

Milk in 2 =

\frac{5}{6}

* 20 =

\frac{50}{3}

…

Comments

Be the first to share your thoughts and help others understand it better.

What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.