All 43 Ratio & Proportion questions the Punjab PSC asked between 2015 and 2026, each with a worked answer and the exam it came from. First 10 free to read.
6 of these 43 were set in more than one exam — the Commission reuses this topic, which is the argument for working through it rather than skimming it.
Free to read, with the worked answer and the exam each one came from. The book prints this topic in the order the Commission favours, so these are the ones to know first.
Let the shares be 3x, 2x and 5x. > C − B = 5x − 2x = 3x = 300 → x = 100 > A − B = 3x − 2x = x = Rs. 100 So A gets Rs. 100 more than B.
Numbers a, b, c, d are in continued proportion when a : b = c : d, i.e. ad = bc. > (94 + x)(26 + x) = (24 + x)(100 + x) > 2444 + 120x + x² = 2400 + 124x + x² > 44 = 4x → x = 11 Check: 105 : 35 = 111 : 37 = 3.
> Let Suresh = 100 > Mukesh = 100 + 20 = 120 > Prakash = 100 + 80 = 180 > Ratio = 120 : 180 = 2 : 3 Mukesh and Prakash are in the ratio 2 : 3.
Multiply every term by the LCM of the denominators to get whole numbers. > LCM(3, 7, 2, 5) = 210 > 1/3 : 1/7 : 1/2 : 1/5 = 70 : 30 : 105 : 42 > 70 + 30 + 105 + 42 = 247 The smallest whole-number shares are 70, 30, 105 and 42. So Rakesh needs at least 247 chocolates. 210 is only the LCM, not the total.
Write every share in terms of C. > B = C/4, A = (2/3)B = C/6 → A : B : C = 2 : 3 : 12 > Total = 17 parts = 1360 → 1 part = 80 > A = 2 × 80 = 160 So A's share is Rs. 160.
Let the incomes be 4x and 3x, and the expenditures 3y and 2y. Savings are income minus expenditure. > 4x − 3y = 2500 and 3x − 2y = 2500 > 8x − 6y = 5000, 9x − 6y = 7500 → x = 2500, y = 2500 > incomes = 10000 and 7500.
Investment ratio A : B = 7 : 1, so the profit is shared 7 : 1. > A's share = 7/8 × 2,75,000 = Rs 2,40,625 B gets the remaining Rs 34,375.
A = (4/5)B and B = (5/2)C, so A = (4/5)(5/2)C = 2C. So A:C = 2:1.
In 100 tonnes mixed 3 : 1 there are 75 tonnes of sand and 25 tonnes of cement. Only sand is added, so the cement stays 25 tonnes. > For 6 : 1, sand needed = 6 × 25 = 150 tonnes > Sand to add = 150 − 75 = 75 tonnes
Let B = x; then A = 1.8x. So x + 1.8x = 2.8x = 1120, giving x = 400. B is paid Rs 400 (and A gets Rs 720).
You have read the ten the Commission asks most. The rest of this topic — and all 4,239 questions across the book, each with a worked solution — come with either edition.
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See the printed book →The Commission set 43 Ratio & Proportion questions across 48 papers between 2015–2026. That is the whole set, not a sample — every one of them is in the book, and the 10 most-asked are on this page free.
Yes. 6 of these 43 were set in more than one exam, which is why they are worth working rather than reading. Each question here carries a badge showing how many sittings asked it.
Here. Every question on this page is a solved MCQ: the four options as printed, the correct answer, and a worked explanation in plain English — not just a letter. The rest of the 43 are in the book, in the same form.
Switch to Attempt mode at the top of the questions. You get one question at a time and it is marked the moment you pick an option, with the reason underneath — the same way the exam feels, on your phone.
The questions are on screen rather than in a downloadable file, so they stay current and correct. The printed book has all 43 of these plus the rest of the Reasoning & Aptitude section, and every buyer gets the whole thing online as well.
The exams behind these questions, most first. A paper here is a sitting: a question set in two papers of the same sitting counts once.
| Exam | Year | Questions |
|---|---|---|
| Punjab Civil Services (Prelims) — CSAT | 2025 | 5 |
| PPSC DDSWO | 2026 | 3 |
| Analysts | 2022 | 3 |
| Principal | 2020 | 3 |
| Head Master Head Mistress | 2020 | 3 |
| Block Primary Education Officer | 2020 | 3 |
| Senior Scientific Officer (Drugs) | 2018 | 3 |
| Senior Scientific Officer (Food Safety) Microbiology | 2018 | 3 |
| Drugs Control Officer | 2018 | 3 |
| Enquiry Officer | 2018 | 3 |
| Assistant Director, Industrial Training Principal Junior Scale Industrial Traini | 2018 | 3 |
| District Sainik Welfare Officer | 2016 | 3 |