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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 404 · 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. 1.12 : 9 = 108 : ?
  2. 2.7 : 5 = 35 : ?
  3. 3.2 : 6 = 12 : ?
  4. 4.Divide ₹132 between Manav and Dev in the ratio 4 : 7. How much does Manav get (in ₹)?
  5. 5.11 : 4 = 33 : ?
  6. 6.Divide ₹420 between Ananya and Isha in the ratio 9 : 5. How much does Isha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.Divide ₹494 between Meera and Vivaan in the ratio 5 : 8. How much does Meera get (in ₹)?
  10. 10.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  11. 11.4 : 8 = 12 : ?
  12. 12.Divide ₹45 between Tara and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  13. 13.7 : 2 = 56 : ?
  14. 14.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  15. 15.Divide ₹731 between Isha and Pooja in the ratio 8 : 9. How much does Pooja get (in ₹)?
  16. 16.7 : 8 = 28 : ?
  17. 17.9 : 8 = 54 : ?
  18. 18.4 : 11 = 28 : ?
  19. 19.Divide ₹320 between Rahul and Kabir in the ratio 7 : 3. How much does Kabir get (in ₹)?
  20. 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  21. 21.Divide ₹208 between Kabir and Aarav in the ratio 3 : 1. How much does Kabir get (in ₹)?
  22. 22.Divide ₹42 between Arjun and Priya in the ratio 1 : 2. How much does Arjun get (in ₹)?
  23. 23.9 : 3 = 27 : ?
  24. 24.10 : 11 = 60 : ?
  25. 25.6 : 3 = 30 : ?
  26. 26.Divide ₹296 between Rohan and Farhan in the ratio 1 : 7. How much does Farhan get (in ₹)?
  27. 27.12 : 5 = 60 : ?
  28. 28.Divide ₹36 between Farhan and Aditya in the ratio 3 : 1. How much does Aditya get (in ₹)?
  29. 29.Divide ₹363 between Vivaan and Manav in the ratio 6 : 5. How much does Vivaan get (in ₹)?
  30. 30.Divide ₹136 between Rahul and Saanvi in the ratio 3 : 1. How much does Rahul get (in ₹)?
  31. 31.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  32. 32.10 : 8 = 30 : ?
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  35. 35.Divide ₹110 between Ananya and Manav in the ratio 9 : 2. How much does Ananya get (in ₹)?
  36. 36.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  37. 37.Divide ₹40 between Nisha and Rohan in the ratio 2 : 3. How much does Nisha get (in ₹)?
  38. 38.Divide ₹336 between Tara and Meera in the ratio 5 : 7. How much does Tara get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).

Answer key

  1. 81
  2. 25
  3. 36
  4. 48
  5. 12
  6. 150
  7. 24
  8. 27
  9. 190
  10. 28
  11. 24
  12. 18
  13. 16
  14. 27
  15. 387
  16. 32
  17. 48
  18. 77
  19. 96
  20. 12
  21. 156
  22. 14
  23. 9
  24. 66
  25. 15
  26. 259
  27. 25
  28. 9
  29. 198
  30. 102
  31. 64
  32. 24
  33. 20
  34. 8
  35. 90
  36. 225
  37. 16
  38. 140
  39. 64
  40. 18

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