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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 603 · 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. 1.5 : 2 = 10 : ?
  2. 2.7 : 5 = 21 : ?
  3. 3.Divide ₹126 between Kabir and Priya in the ratio 1 : 6. How much does Priya get (in ₹)?
  4. 4.Divide ₹660 between Manav and Meera in the ratio 7 : 5. How much does Manav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
  6. 6.5 : 11 = 45 : ?
  7. 7.10 : 4 = 80 : ?
  8. 8.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  9. 9.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  10. 10.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  11. 11.Divide ₹341 between Zoya and Diya in the ratio 3 : 8. How much does Zoya get (in ₹)?
  12. 12.3 : 5 = 6 : ?
  13. 13.Divide ₹253 between Vivaan and Manav in the ratio 7 : 4. How much does Manav get (in ₹)?
  14. 14.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  15. 15.Divide ₹72 between Kavya and Dev in the ratio 2 : 7. How much does Kavya get (in ₹)?
  16. 16.Divide ₹264 between Isha and Sneha in the ratio 1 : 7. How much does Isha get (in ₹)?
  17. 17.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  19. 19.5 : 3 = 25 : ?
  20. 20.7 : 13 = 56 : ?
  21. 21.2 : 8 = 6 : ?
  22. 22.9 : 6 = 81 : ?
  23. 23.Divide ₹110 between Rohan and Zoya in the ratio 7 : 4. How much does Rohan get (in ₹)?
  24. 24.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  25. 25.7 : 3 = 28 : ?
  26. 26.2 : 10 = 16 : ?
  27. 27.11 : 2 = 99 : ?
  28. 28.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  29. 29.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  31. 31.3 : 2 = 21 : ?
  32. 32.Divide ₹840 between Tara and Isha in the ratio 5 : 9. How much does Tara get (in ₹)?
  33. 33.11 : 4 = 88 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  35. 35.6 : 15 = 48 : ?
  36. 36.Divide ₹63 between Ishaan and Vivaan in the ratio 8 : 1. How much does Vivaan get (in ₹)?
  37. 37.7 : 14 = 14 : ?
  38. 38.3 : 13 = 9 : ?
  39. 39.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  40. 40.Divide ₹162 between Tara and Kabir in the ratio 5 : 4. How much does Tara get (in ₹)?

Answer key

  1. 4
  2. 15
  3. 108
  4. 385
  5. 28
  6. 99
  7. 32
  8. 10
  9. 45
  10. 32
  11. 93
  12. 10
  13. 92
  14. 144
  15. 16
  16. 33
  17. 63
  18. 28
  19. 15
  20. 104
  21. 24
  22. 54
  23. 70
  24. 8
  25. 12
  26. 80
  27. 18
  28. 21
  29. 175
  30. 72
  31. 14
  32. 300
  33. 32
  34. 49
  35. 120
  36. 7
  37. 28
  38. 39
  39. 27
  40. 90

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