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Question 12 of 12 · Ratio & Proportion
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NIMCET 2014

The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 : 5 : 7. The total number of students before the increase were

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Answer: Option C — 100

Detailed Solution

1

Let the classes be 2x, 3x and 5x.

2

: , so .

3

Total = 2x + 3x + 5x = 100.

✓ Check

New sizes 40, 50, 70 are in the ratio 4 : 5 : 7.

⚠ Common trap

(A) 10 is x, not the total.

Quick tip

, total

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Ratio & Proportion — Preparation

This question tests your understanding of Ratio & Proportion, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.

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.

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