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Quantitative practice

Ratio and Proportion Questions with Answers

Dividing quantities in a ratio, compound ratios, and proportion problems that hide a shared multiplier. This page pools every ratio and proportion question on the site (245 of them, from 58 exams, weighted towards Banking, Management, Railways) so you can drill the topic on its own instead of meeting four of them inside a full paper.

12% of the pool is graded hard on this site’s own scale and 25% easy, which is about average for this section.

Questions
245
Practice set
25 in 25 min
Difficulty
62/154/29
Negative marking
None
Start Ratio and Proportion practice

Ratio and Proportion questions with solutions

6 from the 245-question pool, worked in full.

  1. 1. An amount of 3,600 naira is shared among three people in the ratio 2:3:4. How much does the person with the largest share receive?

    • A. 1,200 naira
    • B. 1,600 naira ✓
    • C. 800 naira
    • D. 2,000 naira

    Solution. The ratio totals 2 + 3 + 4 = 9 parts. The largest share is 4 parts, which is (4/9) x 3,600 = 1,600 naira.

  2. 2. Two companies X and Y have profits in the ratio 3:4, with a combined profit of ₹7,00,000. What is company Y's profit?

    • A. ₹3,80,000
    • B. ₹3,90,000
    • C. ₹4,10,000
    • D. ₹4,00,000 ✓

    Solution. Y's share = 4/7 × 7,00,000 = ₹4,00,000.

  3. 3. Two numbers are in the ratio 5:7 and their sum is 144. What is the smaller number?

    • A. 72
    • B. 84
    • C. 56
    • D. 60 ✓

    Solution. The 12 ratio-parts equal 144, so each part is 12. The smaller number is 5 x 12 = 60.

  4. 4. Two numbers are in the ratio 4:5. If 12 is added to both, the ratio becomes 5:6. Find the two numbers.

    • A. 44 and 55
    • B. 40 and 50
    • C. 48 and 60 ✓
    • D. 52 and 65

    Solution. Let the numbers be 4x and 5x. (4x+12)/(5x+12) = 5/6 gives 24x+72 = 25x+60, so x = 12. The numbers are 48 and 60.

  5. 5. A branch has 56 staff members, with officers and clerks in the ratio 3:4. Find the number of officers.

    • A. 20
    • B. 22
    • C. 24 ✓
    • D. 26

    Solution. Total parts = 3+4 = 7. Officers = (3/7) × 56 = 24.

  6. 6. The ratio of ages of two friends is 4:5. After 6 years, the ratio will be 5:6. Find their current ages.

    • A. 24 and 30 ✓
    • B. 20 and 25
    • C. 28 and 35
    • D. 16 and 20

    Solution. Let ages be 4x and 5x. After 6 years: (4x+6)/(5x+6) = 5/6 => 6(4x+6) = 5(5x+6) => 24x+36 = 25x+30 => x = 6. Ages = 24 and 30.

Exams that set Ratio and Proportion

11 categories, led by Banking, Management, Railways.

Also set by IBPS SO, IBSAT, IMU-CET, IPMAT Indore, IPMAT Rohtak, JIPMAT, KMAT Karnataka, KSDAT, LIC AAO, MAT, MH CET Law, MICAT, MPPSC SSE, NABARD Grade A, Navy SSR, NIACL AO, NIFT, NMAT, OPSC OCS, RBI Assistant, RBI Grade B, RPF Constable, RPF Sub-Inspector, RRB ALP, RRB Group D, RRB Junior Engineer, RRB NTPC, RRB Paramedical, RRB Technician, SBI Clerk, SBI PO, SEBI Grade A, SIDBI Grade A & B, SNAP, SSC CGL, SSC CHSL, SSC CPO, SSC GD Constable, SSC MTS, TANCET MBA, UKPSC PCS, UPPSC PCS, UPSC CSE, Uttarakhand JEEP, XAT, JAMB UTME. Browse all exams.

Ratio and Proportion: frequently asked questions

How many ratio and proportion questions are there?

245, from the 58 exams here whose syllabus sets the topic. 25% are graded easy and 12% hard, which makes ratio and proportion about average for this section, where the mean is 17%.

Which exams ask ratio and proportion questions?

58 of the exams on this site, weighted towards Banking (14), Management (13), Railways (8). Every question in this pool comes from one of their own mock tests, so the list below is the honest answer to whether the topic is worth your time.

Is ratio and proportion hard?

12% of these 245 questions are graded hard and 25% easy, making it about average for this section, where the mean is 17%.

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