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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 624 · 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.Divide ₹81 between Ishaan and Ananya in the ratio 1 : 2. How much does Ishaan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  3. 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  4. 4.6 : 9 = 30 : ?
  5. 5.Divide ₹168 between Aarav and Dev in the ratio 1 : 7. How much does Dev get (in ₹)?
  6. 6.2 : 13 = 4 : ?
  7. 7.9 : 10 = 27 : ?
  8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  9. 9.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  10. 10.6 : 8 = 54 : ?
  11. 11.10 : 11 = 50 : ?
  12. 12.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  13. 13.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  14. 14.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  15. 15.11 : 5 = 99 : ?
  16. 16.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  18. 18.11 : 15 = 88 : ?
  19. 19.Divide ₹119 between Arjun and Priya in the ratio 4 : 3. How much does Arjun get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  21. 21.4 : 7 = 8 : ?
  22. 22.Divide ₹235 between Rahul and Karan in the ratio 2 : 3. How much does Karan get (in ₹)?
  23. 23.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  24. 24.8 : 9 = 40 : ?
  25. 25.Divide ₹130 between Kavya and Manav in the ratio 6 : 7. How much does Manav get (in ₹)?
  26. 26.Divide ₹410 between Ananya and Rahul in the ratio 1 : 9. How much does Rahul get (in ₹)?
  27. 27.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  28. 28.2 : 8 = 14 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  30. 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  31. 31.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  32. 32.Divide ₹72 between Saanvi and Meera in the ratio 5 : 7. How much does Saanvi get (in ₹)?
  33. 33.Divide ₹364 between Kavya and Meera in the ratio 9 : 4. How much does Kavya get (in ₹)?
  34. 34.5 : 14 = 35 : ?
  35. 35.Divide ₹30 between Manav and Priya in the ratio 1 : 2. How much does Manav get (in ₹)?
  36. 36.11 : 7 = 33 : ?
  37. 37.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  38. 38.Divide ₹77 between Rahul and Ishaan in the ratio 2 : 9. How much does Ishaan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  40. 40.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).

Answer key

  1. 27
  2. 40
  3. 8
  4. 45
  5. 147
  6. 26
  7. 30
  8. 28
  9. 81
  10. 72
  11. 55
  12. 72
  13. 175
  14. 150
  15. 45
  16. 112
  17. 45
  18. 120
  19. 68
  20. 54
  21. 14
  22. 141
  23. 12
  24. 45
  25. 70
  26. 369
  27. 54
  28. 56
  29. 14
  30. 20
  31. 16
  32. 30
  33. 252
  34. 98
  35. 10
  36. 21
  37. 12
  38. 63
  39. 18
  40. 128

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