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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 375 · 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. 1.8 : 6 = 56 : ?
  2. 2.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  3. 3.Divide ₹405 between Saanvi and Pooja in the ratio 8 : 1. How much does Saanvi get (in ₹)?
  4. 4.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  5. 5.Divide ₹154 between Meera and Nisha in the ratio 5 : 9. How much does Meera get (in ₹)?
  6. 6.Divide ₹153 between Pooja and Arjun in the ratio 8 : 9. How much does Arjun get (in ₹)?
  7. 7.4 : 3 = 28 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  10. 10.3 : 6 = 18 : ?
  11. 11.Divide ₹212 between Dev and Nisha in the ratio 3 : 1. How much does Nisha get (in ₹)?
  12. 12.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  13. 13.Divide ₹168 between Dev and Tara in the ratio 7 : 1. How much does Dev get (in ₹)?
  14. 14.Divide ₹261 between Ishaan and Zoya in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  15. 15.2 : 9 = 18 : ?
  16. 16.4 : 9 = 12 : ?
  17. 17.Divide ₹500 between Rahul and Diya in the ratio 9 : 1. How much does Diya get (in ₹)?
  18. 18.Divide ₹162 between Manav and Kabir in the ratio 5 : 1. How much does Kabir get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  20. 20.Divide ₹85 between Diya and Rohan in the ratio 3 : 2. How much does Diya get (in ₹)?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.Divide ₹660 between Farhan and Rahul in the ratio 8 : 7. How much does Rahul get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  24. 24.4 : 2 = 12 : ?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  27. 27.4 : 8 = 8 : ?
  28. 28.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  30. 30.Divide ₹45 between Saanvi and Meera in the ratio 2 : 7. How much does Meera get (in ₹)?
  31. 31.12 : 14 = 48 : ?
  32. 32.7 : 3 = 35 : ?
  33. 33.Divide ₹341 between Manav and Diya in the ratio 7 : 4. How much does Diya get (in ₹)?
  34. 34.Divide ₹697 between Aarav and Karan in the ratio 9 : 8. How much does Aarav get (in ₹)?
  35. 35.6 : 11 = 48 : ?
  36. 36.11 : 13 = 33 : ?
  37. 37.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  38. 38.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  39. 39.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  40. 40.5 : 12 = 30 : ?

Answer key

  1. 42
  2. 21
  3. 360
  4. 96
  5. 55
  6. 81
  7. 21
  8. 40
  9. 27
  10. 36
  11. 53
  12. 112
  13. 147
  14. 58
  15. 81
  16. 27
  17. 50
  18. 27
  19. 10
  20. 51
  21. 50
  22. 308
  23. 81
  24. 6
  25. 18
  26. 16
  27. 16
  28. 40
  29. 28
  30. 35
  31. 56
  32. 15
  33. 124
  34. 369
  35. 88
  36. 39
  37. 27
  38. 63
  39. 128
  40. 72

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