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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 635 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

NameDateTime takenScore ___ / 40
  1. 1.8 : 12 = 16 : ?
  2. 2.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  3. 3.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  4. 4.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  5. 5.Divide ₹378 between Arjun and Diya in the ratio 8 : 1. How much does Diya get (in ₹)?
  6. 6.Divide ₹240 between Pooja and Ananya in the ratio 5 : 3. How much does Pooja get (in ₹)?
  7. 7.Divide ₹165 between Arjun and Nisha in the ratio 3 : 8. How much does Nisha get (in ₹)?
  8. 8.Divide ₹128 between Dev and Sneha in the ratio 3 : 1. How much does Dev get (in ₹)?
  9. 9.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  10. 10.11 : 7 = 33 : ?
  11. 11.Divide ₹741 between Sneha and Saanvi in the ratio 9 : 4. How much does Saanvi get (in ₹)?
  12. 12.3 : 2 = 9 : ?
  13. 13.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  14. 14.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  15. 15.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  16. 16.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  17. 17.Divide ₹663 between Ishaan and Rahul in the ratio 6 : 7. How much does Rahul get (in ₹)?
  18. 18.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  19. 19.2 : 13 = 10 : ?
  20. 20.Divide ₹93 between Priya and Vivaan in the ratio 2 : 1. How much does Priya get (in ₹)?
  21. 21.Divide ₹767 between Arjun and Nisha in the ratio 4 : 9. How much does Arjun get (in ₹)?
  22. 22.10 : 4 = 20 : ?
  23. 23.4 : 13 = 16 : ?
  24. 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  25. 25.Divide ₹128 between Aditya and Sneha in the ratio 1 : 3. How much does Sneha get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  27. 27.Divide ₹315 between Priya and Aditya in the ratio 7 : 8. How much does Priya get (in ₹)?
  28. 28.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  29. 29.Divide ₹477 between Dev and Arjun in the ratio 7 : 2. How much does Dev get (in ₹)?
  30. 30.10 : 6 = 70 : ?
  31. 31.7 : 14 = 56 : ?
  32. 32.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  33. 33.9 : 2 = 72 : ?
  34. 34.Divide ₹184 between Aditya and Diya in the ratio 3 : 1. How much does Diya get (in ₹)?
  35. 35.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  36. 36.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  37. 37.Divide ₹150 between Isha and Aarav in the ratio 7 : 3. How much does Isha get (in ₹)?
  38. 38.7 : 9 = 35 : ?
  39. 39.2 : 14 = 10 : ?
  40. 40.Divide ₹560 between Saanvi and Rohan in the ratio 5 : 9. How much does Rohan get (in ₹)?

Answer key

  1. 24
  2. 175
  3. 27
  4. 96
  5. 42
  6. 150
  7. 120
  8. 96
  9. 72
  10. 21
  11. 228
  12. 6
  13. 100
  14. 128
  15. 144
  16. 48
  17. 357
  18. 45
  19. 65
  20. 62
  21. 236
  22. 8
  23. 52
  24. 75
  25. 96
  26. 24
  27. 147
  28. 150
  29. 371
  30. 42
  31. 112
  32. 32
  33. 16
  34. 46
  35. 80
  36. 20
  37. 105
  38. 45
  39. 70
  40. 360

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