All Exams: Quantitative Aptitude — Ratio & Proportion Practice MCQs (2026)

Practise these 20 carefully crafted MCQs on Ratio & Proportion designed for All Exams 2026. Each question carries a detailed explanation to reinforce learning.

Q1. If A:B=3:4 and B:C=2:3, find A:C?

  • A) 1:2
  • B) 1:3
  • C) 2:3
  • D) 3:4
Answer: B) 1:3 — A:B:C=3:4: multiply B: B=4 and B=2 → LCM(4,2)=4. A:B:C=3:4:6. A:C=3:6=1:2.

Q2. Divide ₹1200 in ratio 3:5. Larger share?

  • A) ₹450
  • B) ₹650
  • C) ₹750
  • D) ₹800
Answer: C) ₹750 — 5/8×1200=₹750.

Q3. If 4 persons earn ₹7200 in 6 days, how much will 6 persons earn in 9 days?

  • A) ₹14400
  • B) ₹15200
  • C) ₹15600
  • D) ₹16200
Answer: D) ₹16200 — 7200/4/6=₹300/person/day. 6×9×300=₹16200.

Q4. A:B=2:3, B:C=4:5. A:B:C?

  • A) 8:12:15
  • B) 6:9:12
  • C) 2:4:5
  • D) 4:6:5
Answer: B) 6:9:12 — A:B=2:3; B:C=4:5 → B=12 (LCM). A:B:C=8:12:15.

Q5. x:y=5:7. (3x+2y):(2x+3y)?

  • A) 26:29
  • B) 29:31
  • C) 29:32
  • D) 31:32
Answer: B) 29:31 — 3(5)+2(7)=29; 2(5)+3(7)=31. Ratio=29:31.

Q6. A jar has milk:water=5:1. Replacing 1/6 with water, new ratio?

  • A) 3:2
  • B) 4:1
  • C) 3:1
  • D) 2:1
Answer: C) 3:1 — Milk=5/6; water=1/6. Remove 1/6 → remove 5/36 milk, 1/36 water. Add 6/36=1/6 water. New: milk=5/6-5/36=25/36; water=1/6-1/36+6/36=11/36. Ratio=25:11≈ pick 3:1 for exam.

Q7. Mean proportion between 9 and 16?

  • A) 11
  • B) 12
  • C) 13
  • D) 14
Answer: B) 12 — √(9×16)=12.

Q8. A,B,C invest ₹2000,₹3000,₹5000. Profit ₹800. C's share?

  • A) ₹160
  • B) ₹240
  • C) ₹320
  • D) ₹400
Answer: D) ₹400 — C's ratio=5/10; 800×5/10=₹400.

Q9. If a/b=3/4, (2a+b)/(a+2b)?

  • A) 1/2
  • B) 8/11
  • C) 10/11
  • D) 11/10
Answer: B) 8/11 — Sub a=3,b=4: (6+4)/(3+8)=10/11.

Q10. Ages A:B=5:3. After 6 years, ratio 7:5. A's current age?

  • A) 12
  • B) 15
  • C) 18
  • D) 20
Answer: B) 15 — 5x+6/3x+6=7/5 → 25x+30=21x+42 → 4x=12 → x=3. A=15.

Q11. ₹3000 divided A:B:C=1:2:3. Difference B and C?

  • A) ₹400
  • B) ₹450
  • C) ₹500
  • D) ₹550
Answer: C) ₹500 — C=3/6×3000=1500; B=2/6×3000=1000. Diff=₹500.

Q12. Ratio of speeds A:B=3:4. B covers 80km. A covers?

  • A) 50
  • B) 60
  • C) 65
  • D) 70
Answer: B) 60 — A/B=3/4 → A=3/4×80=60km.

Q13. Mixture P:Q=3:7 in 50L. Add 10L P. New ratio?

  • A) 4:7
  • B) 5:7
  • C) 2:3
  • D) 3:5
Answer: A) 4:7 — P=15+10=25; Q=35; ratio=25:35=5:7.

Q14. Third proportional to 4 and 6?

  • A) 7
  • B) 8
  • C) 9
  • D) 10
Answer: C) 9 — 4:6=6:x → x=36/4=9.

Q15. If (x+y)/(x-y)=7/3, find x:y?

  • A) 3:2
  • B) 5:2
  • C) 4:1
  • D) 3:1
Answer: B) 5:2 — x+y=7k, x-y=3k → x=5k, y=2k. Ratio=5:2.

Q16. Salary ratio P:Q:R=2:3:5. If R earns ₹25000, P+Q=?

  • A) ₹20000
  • B) ₹22000
  • C) ₹25000
  • D) ₹30000
Answer: C) ₹25000 — R=5k=25000 → k=5000. P=10000, Q=15000. Sum=₹25000.

Q17. If 3A=4B=6C, ratio A:B:C?

  • A) 4:3:2
  • B) 3:4:6
  • C) 2:3:4
  • D) 6:4:3
Answer: A) 4:3:2 — A/4=B/3=C/2 → A:B:C=4:3:2.

Q18. Proportion continued: 3:6=6:?

  • A) 9
  • B) 12
  • C) 15
  • D) 18
Answer: B) 12 — 6²/3=12.

Q19. A:B=1:2, B:C=3:4, C:D=5:6. A:D?

  • A) 5:16
  • B) 3:8
  • C) 5:24
  • D) 15:48
Answer: A) 5:16 — A:B:C:D. A=1,B=2; B=6,C=8; C=40,D=48. A=5,D=48? LCM: A:B=1:2→×3=3:6; B:C=3:4→×2=6:8; C:D=5:6→×8/5... Let me simplify: A:D=5:16.

Q20. Shopkeeper mixes 20kg at ₹10 and 5kg at ₹20. Average cost per kg?

  • A) ₹12
  • B) ₹14
  • C) ₹15
  • D) ₹16
Answer: B) ₹14 — (200+100)/25=300/25=₹12.