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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 555 · 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. 1.4 : 15 = 12 : ?
  2. 2.Divide ₹140 between Rohan and Kabir in the ratio 2 : 5. How much does Rohan get (in ₹)?
  3. 3.8 : 4 = 48 : ?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.Divide ₹304 between Meera and Nisha in the ratio 7 : 9. How much does Nisha get (in ₹)?
  6. 6.4 : 8 = 36 : ?
  7. 7.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  8. 8.Divide ₹418 between Rahul and Farhan in the ratio 6 : 5. How much does Rahul get (in ₹)?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  11. 11.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.Divide ₹550 between Dev and Farhan in the ratio 2 : 9. How much does Dev get (in ₹)?
  14. 14.11 : 14 = 88 : ?
  15. 15.Divide ₹112 between Sneha and Farhan in the ratio 5 : 3. How much does Farhan get (in ₹)?
  16. 16.Divide ₹336 between Rahul and Kabir in the ratio 7 : 5. How much does Rahul get (in ₹)?
  17. 17.7 : 4 = 35 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  19. 19.4 : 6 = 16 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  21. 21.Divide ₹126 between Aarav and Saanvi in the ratio 5 : 4. How much does Saanvi get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  23. 23.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  24. 24.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  25. 25.Divide ₹627 between Aarav and Manav in the ratio 5 : 6. How much does Aarav get (in ₹)?
  26. 26.4 : 12 = 24 : ?
  27. 27.2 : 3 = 6 : ?
  28. 28.12 : 7 = 36 : ?
  29. 29.Divide ₹180 between Zoya and Vivaan in the ratio 3 : 1. How much does Zoya get (in ₹)?
  30. 30.Divide ₹40 between Arjun and Dev in the ratio 1 : 7. How much does Dev get (in ₹)?
  31. 31.2 : 14 = 18 : ?
  32. 32.Divide ₹342 between Farhan and Meera in the ratio 7 : 2. How much does Farhan get (in ₹)?
  33. 33.Divide ₹100 between Aditya and Pooja in the ratio 1 : 3. How much does Aditya get (in ₹)?
  34. 34.Divide ₹528 between Aditya and Aarav in the ratio 7 : 4. How much does Aditya get (in ₹)?
  35. 35.Divide ₹168 between Aarav and Priya in the ratio 5 : 1. How much does Priya get (in ₹)?
  36. 36.Divide ₹494 between Aditya and Priya in the ratio 8 : 5. How much does Aditya get (in ₹)?
  37. 37.Divide ₹282 between Zoya and Saanvi in the ratio 1 : 5. How much does Zoya get (in ₹)?
  38. 38.6 : 15 = 30 : ?
  39. 39.10 : 8 = 60 : ?
  40. 40.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).

Answer key

  1. 45
  2. 40
  3. 24
  4. 8
  5. 171
  6. 72
  7. 20
  8. 228
  9. 32
  10. 20
  11. 21
  12. 50
  13. 100
  14. 112
  15. 42
  16. 196
  17. 20
  18. 70
  19. 24
  20. 10
  21. 56
  22. 10
  23. 36
  24. 32
  25. 285
  26. 72
  27. 9
  28. 21
  29. 135
  30. 35
  31. 126
  32. 266
  33. 25
  34. 336
  35. 28
  36. 304
  37. 47
  38. 75
  39. 48
  40. 175

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