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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 177 · 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.Divide ₹270 between Vivaan and Kabir in the ratio 2 : 7. How much does Vivaan get (in ₹)?
  2. 2.Divide ₹150 between Meera and Dev in the ratio 1 : 2. How much does Meera get (in ₹)?
  3. 3.2 : 10 = 8 : ?
  4. 4.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  5. 5.Divide ₹63 between Aarav and Farhan in the ratio 8 : 1. How much does Farhan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  7. 7.11 : 7 = 88 : ?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.2 : 13 = 4 : ?
  10. 10.6 : 13 = 48 : ?
  11. 11.Divide ₹270 between Sneha and Arjun in the ratio 3 : 7. How much does Sneha get (in ₹)?
  12. 12.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  13. 13.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  14. 14.2 : 7 = 16 : ?
  15. 15.Divide ₹288 between Arjun and Pooja in the ratio 8 : 1. How much does Pooja get (in ₹)?
  16. 16.10 : 4 = 70 : ?
  17. 17.5 : 4 = 20 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  20. 20.Divide ₹198 between Priya and Diya in the ratio 1 : 8. How much does Priya get (in ₹)?
  21. 21.4 : 7 = 8 : ?
  22. 22.12 : 8 = 36 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  24. 24.9 : 10 = 36 : ?
  25. 25.4 : 12 = 20 : ?
  26. 26.2 : 10 = 18 : ?
  27. 27.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  28. 28.Divide ₹102 between Kavya and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
  29. 29.3 : 14 = 6 : ?
  30. 30.Divide ₹18 between Aarav and Farhan in the ratio 1 : 2. How much does Aarav get (in ₹)?
  31. 31.Divide ₹273 between Nisha and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
  32. 32.5 : 15 = 10 : ?
  33. 33.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  34. 34.2 : 11 = 8 : ?
  35. 35.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  36. 36.3 : 4 = 9 : ?
  37. 37.The ratio of boys to girls in a class is 9 : 8. There are 81 boys. How many girls are there?
  38. 38.9 : 15 = 18 : ?
  39. 39.4 : 13 = 36 : ?
  40. 40.12 : 14 = 36 : ?

Answer key

  1. 60
  2. 50
  3. 40
  4. 225
  5. 7
  6. 48
  7. 56
  8. 8
  9. 26
  10. 104
  11. 81
  12. 112
  13. 30
  14. 56
  15. 32
  16. 28
  17. 16
  18. 30
  19. 20
  20. 22
  21. 14
  22. 24
  23. 14
  24. 40
  25. 60
  26. 90
  27. 54
  28. 68
  29. 28
  30. 6
  31. 195
  32. 30
  33. 175
  34. 44
  35. 200
  36. 12
  37. 72
  38. 30
  39. 117
  40. 42

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