# Ratio and Proportion Questions for Bank Exams | Free Timed Practice > Practise ratio and proportion questions free and timed for IBPS, SBI, SSC and railway prelims. The parts method, fresh questions every time, worked solutions. Source: https://computeprep.com/drill-types/ratio-and-proportion --- Exam path · Ratio & Proportion ## Ratio and proportion questions, split by parts not by guessing Ratio and proportion questions split a total, or compare two quantities, into fixed parts. Add the ratio's terms to find the number of parts, divide the total by that sum to get one part, then multiply by the terms you need. Combining two ratios, such as A to B and B to C, works the same way once the shared term is scaled to a common multiple. Ratio and proportion earns marks directly in bank and SSC prelims, and it is also the method hiding inside partnership, mixtures, and several ages questions that are ratio problems wearing different nouns. A paper with one direct ratio question usually has two or three more disguised elsewhere, so the parts method below pays out well beyond this one topic. **Try it against the clock.** Ratio & Proportion runs at 35s easy, 45s medium and 60s hard. The clock is stamped and judged on our server, so the limit you see is the deadline that is actually enforced — and it starts when you tap Start, not while the question is loading. [Start a timed Ratio & Proportion drill →](https://computeprep.com/?drill=ratio_proportion&src=seo-ratio-and-proportion) ### How to solve ratio and proportion questions with the parts method - Add the ratio's terms to find the number of parts A ratio of 3:5 has 3 + 5 = 8 parts in total, regardless of what quantity is actually being split. - Divide the total by the parts to get one part ₹800 split 3:5 gives one part = 800 ÷ 8 = ₹100. Nothing else can be calculated safely before this number exists. - Multiply by the terms you need The person or quantity with 3 parts gets 3 × ₹100 = ₹300; the one with 5 parts gets 5 × ₹100 = ₹500. - Combine two ratios by scaling the shared term If A:B is 2:3 and B:C is 4:5, scale both so B is the LCM of 3 and 4, which is 12: A:B becomes 8:12 and B:C becomes 12:15, giving A:C = 8:15. ### Three shapes of the same question | What the paper asks | The move | | --- | --- | | Split a total in a given ratio | Add the parts, divide the total, multiply by the terms you need | | Combine A:B and B:C into A:C | Scale both ratios so the shared term matches, then read off the outer terms | | Two numbers in a ratio with a given sum | Treat the sum as the total — same parts method applies | ### 3 real ratio and proportion questions, with worked solutions Generated by the same engine that mints the ComputePrep daily. Each answer is computed from the numbers printed in the question, and the walkthrough below each one is the engine's own working — not a solution written afterwards. Reload this page's live drill and you get different numbers. #### Question 1 The ratio of Ravi to Sunita is 3:5. The ratio of Sunita to Faiz is 2:3. What is the ratio of Ravi to Faiz? - 2:7 - 3:8 - 2:5 - 5:2 - 2:3 - Align Sunita's term: LCM of 5 and 2 is 10. - Ravi:Sunita becomes 6:10. Sunita:Faiz becomes 10:15. - Ravi:Faiz = 6:15 → 2:5. - Answer: 2:5. #### Question 2 The ratio of Faiz to Nandini is 3:5. The ratio of Nandini to Shalini is 2:3. What is the ratio of Faiz to Shalini? - 3:8 - 2:7 - 5:2 - 2:3 - 2:5 - Align Nandini's term: LCM of 5 and 2 is 10. - Faiz:Nandini becomes 6:10. Nandini:Shalini becomes 10:15. - Faiz:Shalini = 6:15 → 2:5. - Answer: 2:5. #### Question 3 The ratio of Faiz to Nandini is 3:5. The ratio of Nandini to Sunita is 4:5. What is the ratio of Faiz to Sunita? - 6:13 - 12:25 - 25:12 - 13:25 - 1:2 - Align Nandini's term: LCM of 5 and 4 is 20. - Faiz:Nandini becomes 12:20. Nandini:Sunita becomes 20:25. - Faiz:Sunita = 12:25 → 12:25. - Answer: 12:25. ### Common mistakes this drill is built from The wrong options are not random numbers. Each one is the result of a specific careless error for this topic, so picking one tells you which habit is costing you marks. #### Reading the ratio backwards In a 3:5 split, the first name in the ratio does not automatically get the larger share — here Anil holds 3 parts (₹300) and Bhavna holds 5 (₹500). Ratios are printed in the order asked, not in size order, and reversing them is the single most common error under time pressure. #### Dropping the middle term when combining two ratios A:B = 2:3 and B:C = 4:5 do not chain straight to A:C = 2:5. The B terms first have to be scaled to a common value — 12 here — which is why the correct combined ratio is 8:15, not the two outer terms taken as printed. #### Comparing an unreduced ratio against the options 4:8 and 1:2 are the same ratio, and the wrong options are built so the unreduced form looks like a different answer from the reduced one. Cancel by the HCF of the two terms before matching against an option. ### Why your answer came out wrong The specific wrong numbers this topic produces, and what each one tells you about the step you took. If you have just got a question wrong and want to know which habit did it, start here. #### ₹800 is split 3:5 between Anil and Bhavna — why isn't Anil's share ₹500? ₹500 is Bhavna's share, the 5 parts, not Anil's 3. Parts = 3 + 5 = 8, one part = 800 ÷ 8 = 100, so Anil gets 3 × 100 = 300 and Bhavna gets 500. Whichever name the question actually asks for, check it against the matching number in the ratio before you pick. #### A:B is 2:3 and B:C is 4:5 — why isn't A:C just 2:5? Because B is 3 parts in the first ratio and 4 parts in the second — they are not the same size yet. Scale both to B = 12, the LCM of 3 and 4: A:B becomes 8:12 and B:C becomes 12:15, so A:C = 8:15. Reading off the two outer numbers before scaling skips the step that makes them comparable. #### Two numbers are in the ratio 3:5 and their sum is 72 — why isn't the answer 27? 27 is the smaller number, not the larger one the question asked for. Parts = 3 + 5 = 8, one part = 72 ÷ 8 = 9, so the smaller number is 3 × 9 = 27 and the larger is 5 × 9 = 45. Always check whether the question wants the larger or the smaller share before you pick. ### FAQ #### What is the fastest method for ratio and proportion questions? Add the ratio's terms to get the number of parts, divide the given total by that sum to find one part, then multiply by however many parts the question asks for. Combining two ratios uses the same idea: scale both so the shared term matches, then read the two outer terms as the combined ratio. #### How long should a ratio and proportion question take in prelims? Between 35 and 60 seconds. This drill enforces exactly that: 35 seconds on easy, 45 on medium and 60 on hard, timed on the server rather than in your browser. #### Do I need a formula to combine two ratios? No formula, just one habit: scale both ratios so the shared term is the same number in each — the LCM of the two values it takes — then cancel that term. The same move extends to combining three ratios into one. #### Is partnership the same topic as ratio and proportion? Partnership is ratio and proportion applied to profit-sharing: capital multiplied by time replaces the ratio's raw terms, but the parts method that follows is identical. #### Is this practice free? Yes, free with no account and no app-store download. It runs in your browser and installs as a mobile app if you want it to. ### Practise the next topic - [All 30 drill types](https://computeprep.com/drill-types) — the full rotation with every published time limit. - [Average questions](https://computeprep.com/drill-types/averages) — average questions, timed. - [Partnership questions](https://computeprep.com/drill-types/partnership) — partnership questions, timed. - [Problems on ages](https://computeprep.com/drill-types/problems-on-ages) — problems on ages, timed. - [Vedic maths shortcuts](https://computeprep.com/vedic-maths) — the seven sutras that make a 15-second answer possible. - [How to improve calculation speed](https://computeprep.com/calculation-speed) — the six-week arc these drills fit into. ComputePrep is free, needs no account, and is not affiliated with IBPS, SBI, SSC, RRB or any exam authority.