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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 601 · 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.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  2. 2.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  4. 4.Divide ₹348 between Dev and Kabir in the ratio 5 : 1. How much does Dev get (in ₹)?
  5. 5.3 : 15 = 18 : ?
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.Divide ₹242 between Zoya and Kabir in the ratio 3 : 8. How much does Kabir get (in ₹)?
  8. 8.Divide ₹546 between Manav and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?
  9. 9.Divide ₹100 between Arjun and Kavya in the ratio 2 : 3. How much does Kavya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  13. 13.8 : 4 = 56 : ?
  14. 14.4 : 11 = 8 : ?
  15. 15.Divide ₹96 between Tara and Nisha in the ratio 1 : 7. How much does Tara get (in ₹)?
  16. 16.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  17. 17.9 : 5 = 18 : ?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  20. 20.Divide ₹406 between Rahul and Pooja in the ratio 4 : 3. How much does Rahul get (in ₹)?
  21. 21.12 : 9 = 108 : ?
  22. 22.Divide ₹374 between Nisha and Pooja in the ratio 8 : 3. How much does Pooja get (in ₹)?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.Divide ₹260 between Aditya and Meera in the ratio 1 : 9. How much does Aditya get (in ₹)?
  25. 25.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  26. 26.5 : 10 = 15 : ?
  27. 27.Divide ₹252 between Diya and Dev in the ratio 5 : 1. How much does Dev get (in ₹)?
  28. 28.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  29. 29.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  32. 32.Divide ₹216 between Diya and Saanvi in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  33. 33.8 : 7 = 40 : ?
  34. 34.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  36. 36.Divide ₹440 between Kabir and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
  37. 37.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  38. 38.Divide ₹252 between Arjun and Kabir in the ratio 5 : 9. How much does Arjun get (in ₹)?
  39. 39.9 : 8 = 36 : ?
  40. 40.Divide ₹418 between Tara and Isha in the ratio 9 : 2. How much does Isha get (in ₹)?

Answer key

  1. 2
  2. 36
  3. 10
  4. 290
  5. 90
  6. 18
  7. 176
  8. 294
  9. 60
  10. 8
  11. 70
  12. 12
  13. 28
  14. 22
  15. 12
  16. 24
  17. 10
  18. 32
  19. 63
  20. 232
  21. 81
  22. 102
  23. 125
  24. 26
  25. 144
  26. 30
  27. 42
  28. 128
  29. 4
  30. 25
  31. 27
  32. 48
  33. 35
  34. 30
  35. 56
  36. 44
  37. 200
  38. 90
  39. 32
  40. 76

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