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Quantitative Aptitude · Bank exam practice

Ratio, Ages & Partnership questions for bank exams

Ratio, ages and partnership questions use proportional reasoning: sharing profit, comparing ages years apart and combining ratios. Plutomonk has 1,040 Ratio, Ages & Partnership questions in Prelims and Mains sets of 10, each with a worked solution. They are useful for IBPS PO, SBI PO, IBPS Clerk, SBI Clerk, IBPS RRB and RBI Assistant.

Practise Ratio, Ages & Partnership freeToday's Daily Challenge
Quick tip

Write ages as multiples of one unit (for example 3x and 5x) and turn the time gap into an equation in x.

Ratio, Ages & Partnership sample questions with answers

These are from the first Prelims and Mains sets. Try each question before you open the solution.

Q1. ₹423 is divided between A and B in the ratio 2 : 7. Find A's share.

  1. ₹47
  2. ₹141
  3. ₹329
  4. ₹211.5
  5. ₹94
Show answer and solution

Answer: E. ₹94

A's share = 423 × 2/9 = ₹94.

Q2. ₹682 is divided between A and B in the ratio 5 : 6. Find A's share.

  1. ₹320
  2. ₹248
  3. ₹310
  4. ₹372
  5. ₹341
Show answer and solution

Answer: C. ₹310

A's share = 682 × 5/11 = ₹310.

Q3. ₹198 is divided between A and B in the ratio 2 : 7. Find A's share.

  1. ₹54
  2. ₹66
  3. ₹44
  4. ₹22
  5. ₹154
Show answer and solution

Answer: C. ₹44

A's share = 198 × 2/9 = ₹44.

Q4. ₹1,216 is divided between A and B in the ratio 7 : 9. Find A's share.

  1. ₹456
  2. ₹608
  3. ₹542
  4. ₹684
  5. ₹532
Show answer and solution

Answer: E. ₹532

A's share = 1216 × 7/16 = ₹532.

Q5. ₹1,264 is divided between A and B in the ratio 9 : 7. Find A's share.

  1. ₹553
  2. ₹632
  3. ₹790
  4. ₹721
  5. ₹711
Show answer and solution

Answer: E. ₹711

A's share = 1264 × 9/16 = ₹711.

Q6. Find the fourth proportional to 4, 2 and 10.

  1. 5
  2. 10
  3. 7
  4. 20
  5. 4
Show answer and solution

Answer: A. 5

a : b = c : d ⇒ d = 2 × 10 / 4 = 5.

Q7. ₹203 is divided between A and B in the ratio 4 : 3. Find A's share.

  1. ₹126
  2. ₹87
  3. ₹101.5
  4. ₹145
  5. ₹116
Show answer and solution

Answer: E. ₹116

A's share = 203 × 4/7 = ₹116.

Q8. Find the fourth proportional to 15, 2 and 15.

  1. 7
  2. 2
  3. 112.5
  4. 1
  5. 4
Show answer and solution

Answer: B. 2

a : b = c : d ⇒ d = 2 × 15 / 15 = 2.

Q9. The ratio of the present ages of P and Q is 5 : 7. After 72 years the ratio will be 9 : 11. Find P's present age.

  1. 108 years
  2. 126 years
  3. 92 years
  4. 162 years
  5. 90 years
Show answer and solution

Answer: E. 90 years

Let ages be 5k and 7k. (5k + 72) : (7k + 72) = 9 : 11 gives k = 18. P = 90 years.

Q10. The ratio of the present ages of P and Q is 4 : 7. After 85 years the ratio will be 3 : 4. Find P's present age.

  1. 51 years
  2. 70 years
  3. 153 years
  4. 68 years
  5. 119 years
Show answer and solution

Answer: D. 68 years

Let ages be 4k and 7k. (4k + 85) : (7k + 85) = 3 : 4 gives k = 17. P = 68 years.

Q11. The ratio of the present ages of P and Q is 2 : 6. After 100 years the ratio will be 7 : 11. Find P's present age.

  1. 120 years
  2. 60 years
  3. 40 years
  4. 140 years
  5. 42 years
Show answer and solution

Answer: C. 40 years

Let ages be 2k and 6k. (2k + 100) : (6k + 100) = 7 : 11 gives k = 20. P = 40 years.

Q12. The ratio of the present ages of P and Q is 7 : 4. After 15 years the ratio will be 10 : 7. Find P's present age.

  1. 50 years
  2. 40 years
  3. 30 years
  4. 37 years
  5. 35 years
Show answer and solution

Answer: E. 35 years

Let ages be 7k and 4k. (7k + 15) : (4k + 15) = 10 : 7 gives k = 5. P = 35 years.

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