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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 130 · 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 : 4 = 21 : ?
  2. 2.Divide ₹414 between Arjun and Farhan in the ratio 5 : 4. How much does Farhan get (in ₹)?
  3. 3.3 : 6 = 12 : ?
  4. 4.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  6. 6.Divide ₹204 between Manav and Nisha in the ratio 5 : 1. How much does Manav get (in ₹)?
  7. 7.Divide ₹559 between Saanvi and Dev in the ratio 8 : 5. How much does Dev get (in ₹)?
  8. 8.8 : 2 = 56 : ?
  9. 9.Divide ₹570 between Kavya and Isha in the ratio 1 : 9. How much does Kavya get (in ₹)?
  10. 10.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  11. 11.3 : 9 = 6 : ?
  12. 12.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  13. 13.12 : 13 = 84 : ?
  14. 14.Divide ₹120 between Diya and Arjun in the ratio 4 : 1. How much does Diya get (in ₹)?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.Divide ₹98 between Isha and Manav in the ratio 3 : 4. How much does Isha get (in ₹)?
  17. 17.4 : 3 = 12 : ?
  18. 18.2 : 3 = 6 : ?
  19. 19.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  20. 20.Divide ₹205 between Saanvi and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  21. 21.9 : 11 = 54 : ?
  22. 22.5 : 3 = 35 : ?
  23. 23.Divide ₹594 between Ananya and Meera in the ratio 9 : 2. How much does Ananya get (in ₹)?
  24. 24.4 : 8 = 32 : ?
  25. 25.5 : 4 = 20 : ?
  26. 26.Divide ₹826 between Pooja and Aarav in the ratio 9 : 5. How much does Aarav get (in ₹)?
  27. 27.Divide ₹637 between Manav and Kabir in the ratio 5 : 8. How much does Manav get (in ₹)?
  28. 28.6 : 14 = 24 : ?
  29. 29.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  30. 30.Divide ₹33 between Isha and Zoya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  31. 31.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  32. 32.Divide ₹110 between Isha and Priya in the ratio 7 : 4. How much does Isha get (in ₹)?
  33. 33.2 : 5 = 12 : ?
  34. 34.12 : 11 = 108 : ?
  35. 35.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  36. 36.Divide ₹270 between Saanvi and Rahul in the ratio 2 : 3. How much does Rahul get (in ₹)?
  37. 37.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  38. 38.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  39. 39.Divide ₹285 between Arjun and Zoya in the ratio 3 : 2. How much does Arjun get (in ₹)?
  40. 40.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).

Answer key

  1. 28
  2. 184
  3. 24
  4. 6
  5. 21
  6. 170
  7. 215
  8. 14
  9. 57
  10. 200
  11. 18
  12. 27
  13. 91
  14. 96
  15. 64
  16. 42
  17. 9
  18. 9
  19. 32
  20. 82
  21. 66
  22. 21
  23. 486
  24. 64
  25. 16
  26. 295
  27. 245
  28. 56
  29. 20
  30. 22
  31. 12
  32. 70
  33. 30
  34. 99
  35. 81
  36. 162
  37. 150
  38. 16
  39. 171
  40. 225

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