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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 717 · 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.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  2. 2.Divide ₹540 between Nisha and Manav in the ratio 7 : 5. How much does Manav get (in ₹)?
  3. 3.Divide ₹196 between Kavya and Karan in the ratio 3 : 1. How much does Kavya get (in ₹)?
  4. 4.Divide ₹60 between Kabir and Ananya in the ratio 4 : 1. How much does Kabir get (in ₹)?
  5. 5.Divide ₹399 between Farhan and Kavya in the ratio 1 : 6. How much does Kavya get (in ₹)?
  6. 6.Divide ₹230 between Zoya and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
  7. 7.Divide ₹247 between Ananya and Aarav in the ratio 6 : 7. How much does Ananya get (in ₹)?
  8. 8.Divide ₹24 between Zoya and Meera in the ratio 1 : 2. How much does Zoya get (in ₹)?
  9. 9.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  10. 10.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  11. 11.9 : 13 = 54 : ?
  12. 12.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  13. 13.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  14. 14.Divide ₹231 between Rahul and Pooja in the ratio 4 : 7. How much does Pooja get (in ₹)?
  15. 15.3 : 6 = 18 : ?
  16. 16.Divide ₹91 between Karan and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  17. 17.Divide ₹65 between Saanvi and Aarav in the ratio 7 : 6. How much does Saanvi get (in ₹)?
  18. 18.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  19. 19.4 : 5 = 36 : ?
  20. 20.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.7 : 6 = 56 : ?
  23. 23.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  24. 24.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.5 : 14 = 20 : ?
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.Divide ₹287 between Zoya and Priya in the ratio 1 : 6. How much does Priya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  32. 32.Divide ₹114 between Priya and Diya in the ratio 2 : 1. How much does Priya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  34. 34.12 : 8 = 36 : ?
  35. 35.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  36. 36.6 : 11 = 36 : ?
  37. 37.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  38. 38.Divide ₹384 between Manav and Kabir in the ratio 7 : 9. How much does Manav get (in ₹)?
  39. 39.Divide ₹192 between Ananya and Aarav in the ratio 7 : 9. How much does Aarav get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?

Answer key

  1. 144
  2. 225
  3. 147
  4. 48
  5. 342
  6. 23
  7. 114
  8. 8
  9. 96
  10. 225
  11. 78
  12. 32
  13. 24
  14. 147
  15. 36
  16. 13
  17. 35
  18. 12
  19. 45
  20. 21
  21. 64
  22. 48
  23. 8
  24. 49
  25. 200
  26. 56
  27. 112
  28. 246
  29. 48
  30. 8
  31. 27
  32. 76
  33. 4
  34. 24
  35. 36
  36. 66
  37. 54
  38. 168
  39. 108
  40. 49

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