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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 578 · 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. 1.12 : 5 = 36 : ?
  2. 2.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  3. 3.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  4. 4.Divide ₹325 between Kavya and Meera in the ratio 7 : 6. How much does Kavya get (in ₹)?
  5. 5.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  6. 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  7. 7.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  8. 8.Divide ₹460 between Isha and Manav in the ratio 3 : 7. How much does Isha get (in ₹)?
  9. 9.Divide ₹450 between Nisha and Tara in the ratio 1 : 9. How much does Nisha get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  12. 12.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  13. 13.4 : 8 = 16 : ?
  14. 14.Divide ₹176 between Meera and Aarav in the ratio 5 : 3. How much does Meera get (in ₹)?
  15. 15.2 : 5 = 10 : ?
  16. 16.3 : 4 = 12 : ?
  17. 17.11 : 13 = 55 : ?
  18. 18.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  19. 19.Divide ₹360 between Arjun and Nisha in the ratio 3 : 7. How much does Arjun get (in ₹)?
  20. 20.7 : 10 = 21 : ?
  21. 21.8 : 9 = 48 : ?
  22. 22.Divide ₹374 between Saanvi and Aarav in the ratio 8 : 3. How much does Saanvi get (in ₹)?
  23. 23.10 : 6 = 70 : ?
  24. 24.Divide ₹50 between Isha and Meera in the ratio 3 : 7. How much does Meera get (in ₹)?
  25. 25.6 : 3 = 30 : ?
  26. 26.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  27. 27.5 : 4 = 25 : ?
  28. 28.4 : 8 = 36 : ?
  29. 29.Divide ₹104 between Vivaan and Kabir in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  30. 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.11 : 4 = 66 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  35. 35.Divide ₹190 between Kabir and Priya in the ratio 7 : 3. How much does Priya get (in ₹)?
  36. 36.Divide ₹153 between Vivaan and Zoya in the ratio 1 : 8. How much does Vivaan get (in ₹)?
  37. 37.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  38. 38.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  39. 39.Divide ₹324 between Saanvi and Sneha in the ratio 5 : 7. How much does Saanvi get (in ₹)?
  40. 40.6 : 7 = 42 : ?

Answer key

  1. 15
  2. 100
  3. 144
  4. 175
  5. 112
  6. 8
  7. 20
  8. 138
  9. 45
  10. 27
  11. 70
  12. 27
  13. 32
  14. 110
  15. 25
  16. 16
  17. 65
  18. 10
  19. 108
  20. 30
  21. 54
  22. 272
  23. 42
  24. 35
  25. 15
  26. 128
  27. 20
  28. 72
  29. 91
  30. 24
  31. 81
  32. 24
  33. 3
  34. 16
  35. 57
  36. 17
  37. 96
  38. 63
  39. 135
  40. 49

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