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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 286 · 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. 1.5 : 6 = 10 : ?
  2. 2.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  3. 3.Divide ₹208 between Priya and Ishaan in the ratio 9 : 4. How much does Ishaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  5. 5.Divide ₹171 between Priya and Tara in the ratio 2 : 1. How much does Tara get (in ₹)?
  6. 6.6 : 8 = 54 : ?
  7. 7.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  8. 8.Divide ₹234 between Dev and Karan in the ratio 7 : 2. How much does Dev get (in ₹)?
  9. 9.Divide ₹1020 between Ishaan and Arjun in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  10. 10.Divide ₹205 between Karan and Saanvi in the ratio 2 : 3. How much does Saanvi get (in ₹)?
  11. 11.4 : 14 = 24 : ?
  12. 12.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  13. 13.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  16. 16.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  17. 17.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  18. 18.Divide ₹285 between Aarav and Ananya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  19. 19.Divide ₹658 between Manav and Diya in the ratio 9 : 5. How much does Manav get (in ₹)?
  20. 20.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 4. There are 70 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  23. 23.4 : 12 = 32 : ?
  24. 24.Divide ₹400 between Dev and Pooja in the ratio 1 : 9. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  26. 26.Divide ₹627 between Zoya and Saanvi in the ratio 9 : 2. How much does Zoya get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  28. 28.10 : 2 = 30 : ?
  29. 29.Divide ₹36 between Dev and Vivaan in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  30. 30.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  31. 31.10 : 3 = 30 : ?
  32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  33. 33.Divide ₹154 between Kabir and Aarav in the ratio 9 : 2. How much does Aarav get (in ₹)?
  34. 34.Divide ₹344 between Ishaan and Saanvi in the ratio 5 : 3. How much does Ishaan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  37. 37.2 : 8 = 4 : ?
  38. 38.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  39. 39.4 : 9 = 20 : ?
  40. 40.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).

Answer key

  1. 12
  2. 50
  3. 64
  4. 32
  5. 57
  6. 72
  7. 40
  8. 182
  9. 480
  10. 123
  11. 84
  12. 8
  13. 45
  14. 20
  15. 70
  16. 112
  17. 12
  18. 57
  19. 423
  20. 100
  21. 40
  22. 21
  23. 96
  24. 360
  25. 8
  26. 513
  27. 45
  28. 6
  29. 12
  30. 128
  31. 9
  32. 24
  33. 28
  34. 215
  35. 2
  36. 27
  37. 16
  38. 28
  39. 45
  40. 64

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