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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 740 · 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 8 : 1. There are 16 boys. How many girls are there?
  2. 2.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  3. 3.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  5. 5.Divide ₹507 between Diya and Saanvi in the ratio 7 : 6. How much does Diya get (in ₹)?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.Divide ₹810 between Saanvi and Dev in the ratio 8 : 7. How much does Dev get (in ₹)?
  8. 8.2 : 3 = 4 : ?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.10 : 14 = 70 : ?
  11. 11.Divide ₹441 between Nisha and Aditya in the ratio 5 : 4. How much does Aditya get (in ₹)?
  12. 12.4 : 2 = 24 : ?
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.Divide ₹405 between Kabir and Rahul in the ratio 5 : 4. How much does Kabir get (in ₹)?
  15. 15.9 : 12 = 81 : ?
  16. 16.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  17. 17.Divide ₹378 between Ishaan and Dev in the ratio 8 : 1. How much does Ishaan get (in ₹)?
  18. 18.6 : 8 = 18 : ?
  19. 19.3 : 13 = 6 : ?
  20. 20.11 : 12 = 99 : ?
  21. 21.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  22. 22.7 : 10 = 63 : ?
  23. 23.Divide ₹288 between Sneha and Arjun in the ratio 7 : 2. How much does Arjun get (in ₹)?
  24. 24.5 : 4 = 30 : ?
  25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  26. 26.Divide ₹378 between Priya and Kavya in the ratio 4 : 5. How much does Priya get (in ₹)?
  27. 27.Divide ₹243 between Ishaan and Kabir in the ratio 2 : 7. How much does Ishaan get (in ₹)?
  28. 28.Divide ₹65 between Rohan and Karan in the ratio 2 : 3. How much does Karan get (in ₹)?
  29. 29.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  30. 30.6 : 5 = 42 : ?
  31. 31.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  32. 32.10 : 14 = 30 : ?
  33. 33.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  34. 34.Divide ₹363 between Aarav and Diya in the ratio 8 : 3. How much does Diya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  36. 36.Divide ₹714 between Ishaan and Manav in the ratio 9 : 8. How much does Manav get (in ₹)?
  37. 37.3 : 5 = 9 : ?
  38. 38.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  39. 39.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  40. 40.Divide ₹572 between Ishaan and Dev in the ratio 8 : 3. How much does Dev get (in ₹)?

Answer key

  1. 2
  2. 200
  3. 14
  4. 36
  5. 273
  6. 28
  7. 378
  8. 6
  9. 12
  10. 98
  11. 196
  12. 12
  13. 150
  14. 225
  15. 108
  16. 10
  17. 336
  18. 24
  19. 26
  20. 108
  21. 18
  22. 90
  23. 64
  24. 24
  25. 32
  26. 168
  27. 54
  28. 39
  29. 75
  30. 35
  31. 125
  32. 42
  33. 54
  34. 99
  35. 5
  36. 336
  37. 15
  38. 24
  39. 15
  40. 156

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