← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 976 · 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.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  2. 2.3 : 7 = 27 : ?
  3. 3.4 : 7 = 28 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  6. 6.Divide ₹120 between Kavya and Pooja in the ratio 3 : 2. How much does Pooja get (in ₹)?
  7. 7.Divide ₹172 between Nisha and Pooja in the ratio 3 : 1. How much does Pooja get (in ₹)?
  8. 8.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  9. 9.2 : 5 = 16 : ?
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.Divide ₹96 between Tara and Diya in the ratio 9 : 7. How much does Diya get (in ₹)?
  12. 12.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  13. 13.Divide ₹104 between Karan and Priya in the ratio 9 : 4. How much does Priya get (in ₹)?
  14. 14.Divide ₹473 between Zoya and Arjun in the ratio 3 : 8. How much does Arjun get (in ₹)?
  15. 15.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  16. 16.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  17. 17.Divide ₹90 between Priya and Farhan in the ratio 5 : 4. How much does Priya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 9. There are 10 boys. How many girls are there?
  20. 20.Divide ₹190 between Arjun and Aarav in the ratio 1 : 9. How much does Arjun get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  23. 23.Divide ₹550 between Aarav and Farhan in the ratio 7 : 3. How much does Farhan get (in ₹)?
  24. 24.Divide ₹162 between Kabir and Rahul in the ratio 1 : 8. How much does Kabir get (in ₹)?
  25. 25.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  26. 26.Divide ₹70 between Farhan and Kavya in the ratio 3 : 2. How much does Farhan get (in ₹)?
  27. 27.7 : 3 = 21 : ?
  28. 28.Divide ₹42 between Ananya and Manav in the ratio 1 : 6. How much does Ananya get (in ₹)?
  29. 29.Divide ₹48 between Nisha and Kabir in the ratio 5 : 3. How much does Nisha get (in ₹)?
  30. 30.12 : 10 = 48 : ?
  31. 31.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  32. 32.11 : 13 = 99 : ?
  33. 33.10 : 6 = 50 : ?
  34. 34.11 : 10 = 77 : ?
  35. 35.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  37. 37.11 : 12 = 99 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  39. 39.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  40. 40.Divide ₹407 between Farhan and Ishaan in the ratio 5 : 6. How much does Ishaan get (in ₹)?

Answer key

  1. 144
  2. 63
  3. 49
  4. 12
  5. 30
  6. 48
  7. 43
  8. 100
  9. 40
  10. 18
  11. 42
  12. 81
  13. 32
  14. 344
  15. 200
  16. 36
  17. 50
  18. 8
  19. 18
  20. 19
  21. 48
  22. 24
  23. 165
  24. 18
  25. 150
  26. 42
  27. 9
  28. 6
  29. 30
  30. 40
  31. 63
  32. 117
  33. 30
  34. 70
  35. 9
  36. 27
  37. 108
  38. 81
  39. 54
  40. 222

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude