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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 344 · 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).

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  1. 1.Divide ₹576 between Diya and Kavya in the ratio 7 : 5. How much does Kavya get (in ₹)?
  2. 2.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  3. 3.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  4. 4.The ratio of boys to girls in a class is 7 : 6. There are 49 boys. How many girls are there?
  5. 5.9 : 4 = 81 : ?
  6. 6.4 : 10 = 12 : ?
  7. 7.7 : 15 = 14 : ?
  8. 8.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  9. 9.5 : 8 = 45 : ?
  10. 10.Divide ₹228 between Zoya and Tara in the ratio 3 : 1. How much does Zoya get (in ₹)?
  11. 11.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  12. 12.Divide ₹222 between Meera and Arjun in the ratio 5 : 1. How much does Meera get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  14. 14.3 : 13 = 24 : ?
  15. 15.9 : 6 = 63 : ?
  16. 16.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  17. 17.Divide ₹220 between Rahul and Dev in the ratio 5 : 6. How much does Rahul get (in ₹)?
  18. 18.Divide ₹767 between Ananya and Manav in the ratio 4 : 9. How much does Manav get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  21. 21.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  22. 22.Divide ₹572 between Aditya and Meera in the ratio 7 : 6. How much does Aditya get (in ₹)?
  23. 23.10 : 9 = 20 : ?
  24. 24.6 : 4 = 42 : ?
  25. 25.12 : 5 = 60 : ?
  26. 26.Divide ₹312 between Manav and Vivaan in the ratio 8 : 5. How much does Manav get (in ₹)?
  27. 27.8 : 11 = 56 : ?
  28. 28.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
  29. 29.Divide ₹238 between Karan and Ishaan in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  30. 30.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  31. 31.Divide ₹344 between Ananya and Diya in the ratio 5 : 3. How much does Diya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  33. 33.Divide ₹649 between Sneha and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  34. 34.7 : 4 = 49 : ?
  35. 35.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  36. 36.Divide ₹496 between Meera and Kavya in the ratio 9 : 7. How much does Kavya get (in ₹)?
  37. 37.Divide ₹714 between Nisha and Tara in the ratio 9 : 5. How much does Tara get (in ₹)?
  38. 38.8 : 10 = 64 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  40. 40.Divide ₹315 between Manav and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?

Answer key

  1. 240
  2. 48
  3. 36
  4. 42
  5. 36
  6. 30
  7. 30
  8. 16
  9. 72
  10. 171
  11. 125
  12. 185
  13. 36
  14. 104
  15. 42
  16. 45
  17. 100
  18. 531
  19. 70
  20. 9
  21. 20
  22. 308
  23. 18
  24. 28
  25. 25
  26. 192
  27. 77
  28. 9
  29. 85
  30. 100
  31. 129
  32. 8
  33. 295
  34. 28
  35. 50
  36. 217
  37. 255
  38. 80
  39. 20
  40. 70

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