Question Bank • QB_GA_ADV_112 NAT • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

A mixture of $60\text{ liters}$ contains milk and water in the ratio $7 : 3$. How many liters of water must be added to this mixture to make the ratio of milk to water $3 : 2$? ________ (answer in integer).

Answer Key:

10

Step-by-Step Solution & Explanation

**Method 1: Component Ratio Equation** - Initial volume $= 60\text{ L}$ - Milk $= 60 \times \frac{7}{7 + 3} = 42\text{ L}$ - Water $= 60 \times \frac{3}{7 + 3} = 18\text{ L}$ Let $x$ be the volume of water added in liters: $\frac{42}{18 + x} = \frac{3}{2}$ $42 \times 2 = 3(18 + x) \implies 84 = 54 + 3x \implies 3x = 30 \implies x = 10\text{ liters}$ Integer answer: 10.
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