Ratio & Proportion Questions with Solutions

A ratio compares two quantities of the same kind, and a proportion states that two ratios are equal. This topic covers simplifying and combining ratios, dividing an amount in a given ratio, mean, third and fourth proportionals, and word problems on ages, incomes and expenditures, coins, and mixtures. The ratio method is one of the most useful tools in aptitude. Once quantities are written as multiples of a common factor (such as 3x and 5x), many lengthy problems reduce to a single equation. Ratio thinking also speeds up questions on partnership, time and work, speed and distance, and mixtures and alligation. Practise the ratio and proportion questions below. Each comes with a clear step-by-step solution showing how to set up the ratio and solve it quickly.