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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 406 · 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 ₹270 between Rahul and Aarav in the ratio 1 : 5. How much does Rahul get (in ₹)?
  2. 2.8 : 9 = 16 : ?
  3. 3.Divide ₹252 between Tara and Saanvi in the ratio 5 : 4. How much does Tara get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?
  5. 5.8 : 3 = 64 : ?
  6. 6.Divide ₹204 between Isha and Rahul in the ratio 1 : 5. How much does Isha get (in ₹)?
  7. 7.Divide ₹145 between Isha and Kavya in the ratio 3 : 2. How much does Isha get (in ₹)?
  8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  9. 9.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  10. 10.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  11. 11.11 : 10 = 55 : ?
  12. 12.11 : 15 = 22 : ?
  13. 13.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  16. 16.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.2 : 13 = 14 : ?
  20. 20.Divide ₹928 between Priya and Kabir in the ratio 9 : 7. How much does Kabir get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
  22. 22.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  23. 23.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  24. 24.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  25. 25.2 : 4 = 4 : ?
  26. 26.Divide ₹638 between Pooja and Arjun in the ratio 5 : 6. How much does Pooja get (in ₹)?
  27. 27.10 : 9 = 40 : ?
  28. 28.Divide ₹378 between Diya and Tara in the ratio 1 : 8. How much does Tara get (in ₹)?
  29. 29.3 : 10 = 27 : ?
  30. 30.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  31. 31.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  33. 33.Divide ₹544 between Kabir and Arjun in the ratio 7 : 9. How much does Kabir get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  35. 35.Divide ₹216 between Meera and Arjun in the ratio 1 : 7. How much does Meera get (in ₹)?
  36. 36.Divide ₹117 between Dev and Manav in the ratio 4 : 9. How much does Manav get (in ₹)?
  37. 37.9 : 10 = 18 : ?
  38. 38.11 : 9 = 66 : ?
  39. 39.Divide ₹140 between Karan and Manav in the ratio 3 : 1. How much does Manav get (in ₹)?
  40. 40.Divide ₹588 between Rohan and Karan in the ratio 5 : 9. How much does Karan get (in ₹)?

Answer key

  1. 45
  2. 18
  3. 140
  4. 42
  5. 24
  6. 34
  7. 87
  8. 48
  9. 81
  10. 36
  11. 50
  12. 30
  13. 18
  14. 8
  15. 16
  16. 14
  17. 70
  18. 32
  19. 91
  20. 406
  21. 9
  22. 18
  23. 100
  24. 50
  25. 8
  26. 290
  27. 36
  28. 336
  29. 90
  30. 35
  31. 112
  32. 12
  33. 238
  34. 27
  35. 27
  36. 81
  37. 20
  38. 54
  39. 35
  40. 378

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