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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 783 · 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.Divide ₹168 between Aarav and Saanvi in the ratio 5 : 3. How much does Aarav get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  6. 6.9 : 6 = 36 : ?
  7. 7.Divide ₹175 between Zoya and Priya in the ratio 4 : 1. How much does Priya get (in ₹)?
  8. 8.5 : 4 = 25 : ?
  9. 9.Divide ₹99 between Dev and Kabir in the ratio 9 : 2. How much does Dev get (in ₹)?
  10. 10.Divide ₹144 between Kavya and Diya in the ratio 7 : 2. How much does Diya get (in ₹)?
  11. 11.Divide ₹572 between Kavya and Ananya in the ratio 4 : 7. How much does Ananya get (in ₹)?
  12. 12.2 : 9 = 18 : ?
  13. 13.3 : 12 = 6 : ?
  14. 14.6 : 10 = 48 : ?
  15. 15.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  16. 16.Divide ₹132 between Saanvi and Rohan in the ratio 8 : 3. How much does Saanvi get (in ₹)?
  17. 17.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  18. 18.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  20. 20.Divide ₹162 between Aarav and Rohan in the ratio 1 : 8. How much does Aarav get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  22. 22.9 : 10 = 72 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  24. 24.5 : 7 = 40 : ?
  25. 25.3 : 4 = 27 : ?
  26. 26.9 : 7 = 45 : ?
  27. 27.Divide ₹77 between Diya and Tara in the ratio 5 : 6. How much does Diya get (in ₹)?
  28. 28.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  29. 29.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  30. 30.Divide ₹240 between Aarav and Meera in the ratio 1 : 7. How much does Aarav get (in ₹)?
  31. 31.Divide ₹110 between Arjun and Meera in the ratio 9 : 1. How much does Meera get (in ₹)?
  32. 32.12 : 3 = 72 : ?
  33. 33.Divide ₹432 between Saanvi and Rohan in the ratio 7 : 9. How much does Saanvi get (in ₹)?
  34. 34.8 : 5 = 56 : ?
  35. 35.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  36. 36.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  37. 37.5 : 14 = 45 : ?
  38. 38.Divide ₹160 between Aarav and Kabir in the ratio 1 : 7. How much does Kabir get (in ₹)?
  39. 39.6 : 8 = 18 : ?
  40. 40.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?

Answer key

  1. 105
  2. 18
  3. 14
  4. 12
  5. 35
  6. 24
  7. 35
  8. 20
  9. 81
  10. 32
  11. 364
  12. 81
  13. 24
  14. 80
  15. 42
  16. 96
  17. 75
  18. 21
  19. 32
  20. 18
  21. 8
  22. 80
  23. 63
  24. 56
  25. 36
  26. 35
  27. 35
  28. 100
  29. 20
  30. 30
  31. 11
  32. 18
  33. 189
  34. 35
  35. 14
  36. 18
  37. 126
  38. 140
  39. 24
  40. 8

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