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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 928 · 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).

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  1. 1.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  2. 2.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  3. 3.Divide ₹42 between Arjun and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
  4. 4.12 : 7 = 108 : ?
  5. 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  6. 6.2 : 15 = 10 : ?
  7. 7.7 : 9 = 56 : ?
  8. 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  9. 9.Divide ₹663 between Kavya and Meera in the ratio 9 : 8. How much does Kavya get (in ₹)?
  10. 10.Divide ₹153 between Aditya and Arjun in the ratio 8 : 1. How much does Arjun get (in ₹)?
  11. 11.Divide ₹360 between Aarav and Kavya in the ratio 1 : 9. How much does Aarav get (in ₹)?
  12. 12.Divide ₹210 between Karan and Rohan in the ratio 5 : 9. How much does Karan get (in ₹)?
  13. 13.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.Divide ₹176 between Aarav and Ishaan in the ratio 4 : 7. How much does Ishaan get (in ₹)?
  16. 16.Divide ₹154 between Kavya and Arjun in the ratio 9 : 5. How much does Arjun get (in ₹)?
  17. 17.5 : 4 = 35 : ?
  18. 18.11 : 6 = 33 : ?
  19. 19.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  21. 21.4 : 10 = 28 : ?
  22. 22.Divide ₹414 between Rohan and Vivaan in the ratio 8 : 1. How much does Vivaan get (in ₹)?
  23. 23.Divide ₹384 between Manav and Diya in the ratio 7 : 1. How much does Manav get (in ₹)?
  24. 24.Divide ₹63 between Ananya and Dev in the ratio 1 : 8. How much does Ananya get (in ₹)?
  25. 25.Divide ₹207 between Priya and Vivaan in the ratio 7 : 2. How much does Vivaan get (in ₹)?
  26. 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  27. 27.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  28. 28.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  29. 29.Divide ₹124 between Dev and Aditya in the ratio 1 : 3. How much does Dev get (in ₹)?
  30. 30.Divide ₹228 between Aditya and Arjun in the ratio 1 : 5. How much does Aditya get (in ₹)?
  31. 31.Divide ₹324 between Isha and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
  32. 32.7 : 6 = 21 : ?
  33. 33.3 : 5 = 18 : ?
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
  35. 35.Divide ₹135 between Vivaan and Kabir in the ratio 8 : 1. How much does Kabir get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  37. 37.8 : 11 = 40 : ?
  38. 38.2 : 11 = 14 : ?
  39. 39.Divide ₹144 between Nisha and Ishaan in the ratio 2 : 7. How much does Nisha get (in ₹)?
  40. 40.Divide ₹120 between Nisha and Priya in the ratio 9 : 1. How much does Nisha get (in ₹)?

Answer key

  1. 24
  2. 64
  3. 28
  4. 63
  5. 63
  6. 75
  7. 72
  8. 144
  9. 351
  10. 17
  11. 36
  12. 75
  13. 200
  14. 20
  15. 112
  16. 55
  17. 28
  18. 18
  19. 32
  20. 16
  21. 70
  22. 46
  23. 336
  24. 7
  25. 46
  26. 27
  27. 125
  28. 112
  29. 31
  30. 38
  31. 189
  32. 18
  33. 30
  34. 35
  35. 15
  36. 72
  37. 55
  38. 77
  39. 32
  40. 108

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