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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 112 · 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.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  2. 2.Divide ₹312 between Manav and Diya in the ratio 7 : 1. How much does Manav get (in ₹)?
  3. 3.5 : 9 = 45 : ?
  4. 4.Divide ₹385 between Aditya and Vivaan in the ratio 2 : 5. How much does Vivaan get (in ₹)?
  5. 5.2 : 14 = 4 : ?
  6. 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  7. 7.Divide ₹143 between Aarav and Meera in the ratio 3 : 8. How much does Aarav get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  9. 9.Divide ₹328 between Rahul and Kavya in the ratio 3 : 5. How much does Kavya get (in ₹)?
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  12. 12.Divide ₹540 between Ananya and Diya in the ratio 5 : 4. How much does Diya get (in ₹)?
  13. 13.Divide ₹288 between Rohan and Tara in the ratio 8 : 1. How much does Tara get (in ₹)?
  14. 14.6 : 13 = 54 : ?
  15. 15.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  16. 16.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  17. 17.10 : 8 = 20 : ?
  18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  19. 19.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  20. 20.3 : 9 = 6 : ?
  21. 21.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  22. 22.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  23. 23.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  24. 24.Divide ₹288 between Diya and Rohan in the ratio 2 : 7. How much does Diya get (in ₹)?
  25. 25.12 : 2 = 24 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  28. 28.Divide ₹220 between Ananya and Rahul in the ratio 5 : 6. How much does Ananya get (in ₹)?
  29. 29.4 : 11 = 32 : ?
  30. 30.Divide ₹60 between Pooja and Ananya in the ratio 2 : 1. How much does Ananya get (in ₹)?
  31. 31.Divide ₹143 between Aarav and Ananya in the ratio 3 : 8. How much does Ananya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  35. 35.Divide ₹99 between Isha and Priya in the ratio 2 : 1. How much does Priya get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  37. 37.11 : 5 = 33 : ?
  38. 38.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  39. 39.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  40. 40.8 : 15 = 24 : ?

Answer key

  1. 49
  2. 273
  3. 81
  4. 275
  5. 28
  6. 24
  7. 39
  8. 24
  9. 205
  10. 48
  11. 10
  12. 240
  13. 32
  14. 117
  15. 225
  16. 10
  17. 16
  18. 112
  19. 18
  20. 18
  21. 9
  22. 32
  23. 24
  24. 64
  25. 4
  26. 56
  27. 50
  28. 100
  29. 88
  30. 20
  31. 104
  32. 12
  33. 2
  34. 16
  35. 33
  36. 16
  37. 15
  38. 175
  39. 12
  40. 45

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