Ratio and Proportion Questions and Answers – Page 2
Ratio and Proportion is a core Quantitative Aptitude topic that appears consistently in almost every competitive exam, including SSC CGL, SSC CHSL, IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, RRB NTPC, and other banking and government recruitment exams. A ratio compares two or more quantities of the same kind, expressed in simplest form such as a:b, while a proportion shows the equality of two ratios, written as a:b = c:d. Understanding ratio and proportion is important because this topic is directly linked with several other Quantitative Aptitude chapters such as Partnership, Mixture and Alligation, Time and Work, Time Speed and Distance, and Profit and Loss, making it one of the most versatile topics in the entire syllabus. This topic page provides a well-structured collection of ratio and proportion questions with detailed step-by-step solutions to help aspirants strengthen their conceptual understanding and calculation speed. The practice questions cover important variations such as compound ratio, duplicate and triplicate ratio, continued proportion, mean proportion, dividing a quantity in a given ratio, and direct and inverse proportion problems. Each solution includes shortcut tricks and formula-based approaches that help students solve ratio and proportion questions quickly during the exam, where time management is critical. Aspirants preparing for banking, SSC, and railway exams often struggle with ratio and proportion problems when quantities need to be divided among multiple parts or when ratios must be compared across different units. Our practice set addresses these challenges with clear explanations, worked examples, and easy-to-remember formulas for ratio comparison, ratio simplification, and proportion-based word problems. Regular practice of these questions will help you build a strong foundation in ratio and proportion, which in turn supports faster problem-solving in related Quantitative Aptitude topics. Whether you are just beginning your competitive exam preparation or revising before your final exam, this ratio and proportion question bank is designed for every level of learner. Practice consistently, review the shortcut methods provided, and apply them to solve ratio and proportion questions accurately and quickly in your upcoming SSC, banking, railway, and other government competitive examinations.
FAQ
Ratio & Proportion FAQs
Common questions and clear answers for this topic.
What is Ratio and Proportion and how are they used in competitive exams?
Ratio is the comparison of two quantities by division: a:b = a/b. Proportion is an equation stating two ratios are equal: a:b = c:d. Key concepts: Compounded Ratio, Duplicate Ratio a squared:b squared. Ratio and Proportion questions appear in SSC CGL, IBPS, CAT, and Railways as mixture problems, partnership problems, age problems, and direct/inverse proportion questions.
What are the properties of Proportion?
Properties of Proportion (a:b = c:d): Product of Means = Product of Extremes (ad = bc). Componendo: (a+b):b = (c+d):d. Dividendo: (a-b):b = (c-d):d. Componendo-Dividendo: (a+b):(a-b) = (c+d):(c-d). If a/b = c/d = e/f, then each ratio equals (a+c+e)/(b+d+f). Mean Proportional of a and b equals root(ab). These properties are essential for solving complex proportion problems.
How to solve Mixture and Alligation problems using ratio?
Alligation Rule: When two mixtures of different concentrations are mixed, the ratio of their quantities is inversely proportional to the differences from the mean concentration. Formula: Ratio = (C2 - Mean):(Mean - C1). Example: Mix milk at Rs 15 and Rs 20 per liter to get mixture at Rs 18. Ratio = (20-18):(18-15) = 2:3. This topic appears frequently in IBPS and SSC exams.
How to solve Partnership problems using Ratio?
Partnership: When partners invest capital for the same time period, profit is divided in ratio of their investments. When invested for different time periods, profit ratio = (Capital1 x Time1):(Capital2 x Time2). Example: A invests Rs 2000 for 6 months and B invests Rs 3000 for 4 months, ratio = 12000:12000 = 1:1. Working partner may get extra salary before profit division.
What is Direct and Inverse Proportion?
Direct Proportion: When one quantity increases, the other increases in the same ratio (y = kx). Example: More workers, more earnings. Inverse Proportion: When one quantity increases, the other decreases (xy = constant). Example: More workers, fewer days to complete work. These concepts are foundational for time-work, speed-distance, and pipeline problems in all competitive exams.
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