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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 414 · 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. 1.3 : 5 = 24 : ?
  2. 2.12 : 15 = 84 : ?
  3. 3.Divide ₹260 between Tara and Ishaan in the ratio 7 : 6. How much does Tara get (in ₹)?
  4. 4.Divide ₹520 between Diya and Nisha in the ratio 1 : 9. How much does Nisha get (in ₹)?
  5. 5.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  6. 6.7 : 11 = 56 : ?
  7. 7.4 : 13 = 12 : ?
  8. 8.Divide ₹156 between Ananya and Kabir in the ratio 7 : 5. How much does Ananya get (in ₹)?
  9. 9.8 : 3 = 24 : ?
  10. 10.Divide ₹495 between Ananya and Saanvi in the ratio 8 : 1. How much does Saanvi get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  13. 13.8 : 9 = 16 : ?
  14. 14.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  15. 15.3 : 9 = 18 : ?
  16. 16.4 : 2 = 20 : ?
  17. 17.Divide ₹270 between Meera and Farhan in the ratio 4 : 5. How much does Meera get (in ₹)?
  18. 18.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  19. 19.11 : 8 = 66 : ?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  22. 22.9 : 15 = 72 : ?
  23. 23.Divide ₹306 between Farhan and Sneha in the ratio 8 : 1. How much does Sneha get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  26. 26.2 : 8 = 4 : ?
  27. 27.7 : 10 = 56 : ?
  28. 28.Divide ₹176 between Rohan and Manav in the ratio 1 : 7. How much does Manav get (in ₹)?
  29. 29.Divide ₹160 between Meera and Tara in the ratio 9 : 1. How much does Tara get (in ₹)?
  30. 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  31. 31.4 : 6 = 20 : ?
  32. 32.4 : 10 = 32 : ?
  33. 33.Divide ₹705 between Priya and Isha in the ratio 7 : 8. How much does Isha get (in ₹)?
  34. 34.Divide ₹225 between Saanvi and Priya in the ratio 7 : 8. How much does Priya get (in ₹)?
  35. 35.Divide ₹175 between Priya and Aditya in the ratio 5 : 2. How much does Aditya get (in ₹)?
  36. 36.Divide ₹57 between Priya and Diya in the ratio 2 : 1. How much does Diya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  38. 38.Divide ₹180 between Tara and Aarav in the ratio 5 : 7. How much does Aarav get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
  40. 40.Divide ₹880 between Rohan and Rahul in the ratio 9 : 7. How much does Rahul get (in ₹)?

Answer key

  1. 40
  2. 105
  3. 140
  4. 468
  5. 45
  6. 88
  7. 39
  8. 91
  9. 9
  10. 55
  11. 10
  12. 12
  13. 18
  14. 175
  15. 54
  16. 10
  17. 120
  18. 63
  19. 48
  20. 48
  21. 96
  22. 120
  23. 34
  24. 49
  25. 5
  26. 16
  27. 80
  28. 154
  29. 16
  30. 20
  31. 30
  32. 80
  33. 376
  34. 120
  35. 50
  36. 19
  37. 90
  38. 105
  39. 28
  40. 385

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