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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 494 · 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.Divide ₹72 between Ananya and Meera in the ratio 5 : 1. How much does Meera get (in ₹)?
  2. 2.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  3. 3.Divide ₹364 between Kabir and Diya in the ratio 4 : 9. How much does Kabir get (in ₹)?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  7. 7.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  9. 9.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  10. 10.Divide ₹210 between Aarav and Nisha in the ratio 7 : 3. How much does Nisha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  12. 12.2 : 14 = 10 : ?
  13. 13.10 : 12 = 70 : ?
  14. 14.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  15. 15.Divide ₹1003 between Farhan and Kavya in the ratio 9 : 8. How much does Kavya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  17. 17.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  20. 20.3 : 5 = 9 : ?
  21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  22. 22.Divide ₹320 between Rohan and Aarav in the ratio 7 : 3. How much does Aarav get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  25. 25.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  26. 26.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  27. 27.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
  28. 28.Divide ₹119 between Sneha and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
  29. 29.11 : 4 = 33 : ?
  30. 30.Divide ₹528 between Pooja and Kavya in the ratio 6 : 5. How much does Pooja get (in ₹)?
  31. 31.5 : 13 = 10 : ?
  32. 32.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  33. 33.Divide ₹720 between Tara and Dev in the ratio 7 : 5. How much does Tara get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  35. 35.Divide ₹204 between Nisha and Saanvi in the ratio 3 : 1. How much does Nisha get (in ₹)?
  36. 36.5 : 13 = 30 : ?
  37. 37.Divide ₹288 between Tara and Isha in the ratio 7 : 1. How much does Tara get (in ₹)?
  38. 38.Divide ₹42 between Aarav and Manav in the ratio 2 : 1. How much does Manav get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  40. 40.8 : 14 = 72 : ?

Answer key

  1. 12
  2. 64
  3. 112
  4. 8
  5. 64
  6. 150
  7. 45
  8. 8
  9. 20
  10. 63
  11. 56
  12. 70
  13. 84
  14. 18
  15. 472
  16. 6
  17. 175
  18. 18
  19. 32
  20. 15
  21. 96
  22. 96
  23. 40
  24. 27
  25. 16
  26. 75
  27. 70
  28. 17
  29. 12
  30. 288
  31. 26
  32. 20
  33. 420
  34. 32
  35. 153
  36. 78
  37. 252
  38. 14
  39. 28
  40. 126

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