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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 29 · 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. 1.7 : 6 = 63 : ?
  2. 2.8 : 4 = 56 : ?
  3. 3.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  4. 4.10 : 8 = 90 : ?
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  6. 6.6 : 7 = 18 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  8. 8.8 : 13 = 24 : ?
  9. 9.Divide ₹594 between Kabir and Tara in the ratio 5 : 6. How much does Kabir get (in ₹)?
  10. 10.10 : 12 = 70 : ?
  11. 11.Divide ₹140 between Ananya and Farhan in the ratio 9 : 5. How much does Ananya get (in ₹)?
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.Divide ₹363 between Pooja and Kavya in the ratio 2 : 9. How much does Kavya get (in ₹)?
  14. 14.6 : 11 = 54 : ?
  15. 15.Divide ₹98 between Saanvi and Arjun in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  16. 16.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  17. 17.6 : 3 = 12 : ?
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.5 : 14 = 30 : ?
  20. 20.Divide ₹168 between Meera and Diya in the ratio 1 : 7. How much does Diya get (in ₹)?
  21. 21.4 : 10 = 12 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  23. 23.Divide ₹210 between Vivaan and Manav in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  24. 24.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  25. 25.10 : 14 = 50 : ?
  26. 26.11 : 15 = 77 : ?
  27. 27.2 : 13 = 14 : ?
  28. 28.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  29. 29.10 : 11 = 30 : ?
  30. 30.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  31. 31.3 : 8 = 21 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  33. 33.Divide ₹341 between Ishaan and Dev in the ratio 9 : 2. How much does Dev get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  35. 35.Divide ₹414 between Nisha and Dev in the ratio 1 : 8. How much does Dev get (in ₹)?
  36. 36.Divide ₹56 between Kabir and Zoya in the ratio 7 : 1. How much does Kabir get (in ₹)?
  37. 37.Divide ₹528 between Arjun and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  38. 38.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  39. 39.Divide ₹243 between Rahul and Nisha in the ratio 2 : 7. How much does Nisha get (in ₹)?
  40. 40.Divide ₹99 between Dev and Meera in the ratio 3 : 8. How much does Dev get (in ₹)?

Answer key

  1. 54
  2. 28
  3. 48
  4. 72
  5. 10
  6. 21
  7. 15
  8. 39
  9. 270
  10. 84
  11. 90
  12. 36
  13. 297
  14. 99
  15. 14
  16. 128
  17. 6
  18. 75
  19. 84
  20. 147
  21. 30
  22. 10
  23. 168
  24. 81
  25. 70
  26. 105
  27. 91
  28. 63
  29. 33
  30. 125
  31. 56
  32. 18
  33. 62
  34. 20
  35. 368
  36. 49
  37. 96
  38. 32
  39. 189
  40. 27

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