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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 992 · 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 2 and 8 (that is, 2 : 8 = 8 : ?).
  2. 2.Divide ₹208 between Arjun and Aarav in the ratio 3 : 5. How much does Arjun get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  6. 6.2 : 14 = 6 : ?
  7. 7.Divide ₹279 between Meera and Dev in the ratio 4 : 5. How much does Meera get (in ₹)?
  8. 8.4 : 9 = 20 : ?
  9. 9.2 : 8 = 10 : ?
  10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  11. 11.8 : 5 = 32 : ?
  12. 12.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  13. 13.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  15. 15.Divide ₹242 between Ananya and Isha in the ratio 9 : 2. How much does Ananya get (in ₹)?
  16. 16.7 : 5 = 56 : ?
  17. 17.Divide ₹345 between Manav and Rahul in the ratio 7 : 8. How much does Manav get (in ₹)?
  18. 18.Divide ₹363 between Arjun and Priya in the ratio 4 : 7. How much does Priya get (in ₹)?
  19. 19.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  20. 20.Divide ₹77 between Rohan and Aditya in the ratio 3 : 8. How much does Rohan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
  23. 23.Divide ₹42 between Manav and Rohan in the ratio 3 : 4. How much does Manav get (in ₹)?
  24. 24.Divide ₹649 between Kabir and Rahul in the ratio 3 : 8. How much does Kabir get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  26. 26.Divide ₹99 between Farhan and Manav in the ratio 8 : 1. How much does Manav get (in ₹)?
  27. 27.2 : 11 = 14 : ?
  28. 28.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  30. 30.12 : 8 = 84 : ?
  31. 31.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  32. 32.Divide ₹40 between Diya and Isha in the ratio 7 : 1. How much does Diya get (in ₹)?
  33. 33.Divide ₹169 between Diya and Aarav in the ratio 7 : 6. How much does Diya get (in ₹)?
  34. 34.4 : 14 = 24 : ?
  35. 35.Divide ₹884 between Diya and Pooja in the ratio 8 : 9. How much does Pooja get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  37. 37.Divide ₹320 between Sneha and Pooja in the ratio 3 : 7. How much does Pooja get (in ₹)?
  38. 38.Divide ₹533 between Priya and Aarav in the ratio 5 : 8. How much does Aarav get (in ₹)?
  39. 39.Divide ₹189 between Meera and Rohan in the ratio 5 : 2. How much does Meera get (in ₹)?
  40. 40.8 : 15 = 32 : ?

Answer key

  1. 32
  2. 78
  3. 16
  4. 8
  5. 20
  6. 42
  7. 124
  8. 45
  9. 40
  10. 75
  11. 20
  12. 225
  13. 70
  14. 35
  15. 198
  16. 40
  17. 161
  18. 231
  19. 24
  20. 21
  21. 40
  22. 25
  23. 18
  24. 177
  25. 32
  26. 11
  27. 77
  28. 40
  29. 18
  30. 56
  31. 54
  32. 35
  33. 91
  34. 84
  35. 468
  36. 14
  37. 224
  38. 328
  39. 135
  40. 60

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