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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 774 · 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. 1.4 : 6 = 24 : ?
  2. 2.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
  3. 3.Divide ₹559 between Ananya and Pooja in the ratio 7 : 6. How much does Ananya get (in ₹)?
  4. 4.Divide ₹333 between Arjun and Aarav in the ratio 4 : 5. How much does Arjun get (in ₹)?
  5. 5.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  6. 6.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  7. 7.3 : 12 = 21 : ?
  8. 8.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.2 : 14 = 14 : ?
  11. 11.Divide ₹390 between Vivaan and Karan in the ratio 7 : 8. How much does Karan get (in ₹)?
  12. 12.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  13. 13.10 : 5 = 40 : ?
  14. 14.Divide ₹55 between Ananya and Dev in the ratio 7 : 4. How much does Ananya get (in ₹)?
  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 2 : 3. There are 14 boys. How many girls are there?
  17. 17.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  19. 19.Divide ₹605 between Karan and Vivaan in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  20. 20.2 : 11 = 10 : ?
  21. 21.4 : 2 = 32 : ?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.Divide ₹658 between Diya and Zoya in the ratio 5 : 9. How much does Diya get (in ₹)?
  24. 24.Divide ₹75 between Pooja and Rohan in the ratio 2 : 3. How much does Pooja get (in ₹)?
  25. 25.Divide ₹49 between Dev and Kabir in the ratio 4 : 3. How much does Kabir get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  28. 28.Divide ₹357 between Ishaan and Dev in the ratio 6 : 1. How much does Dev get (in ₹)?
  29. 29.Divide ₹84 between Aarav and Ananya in the ratio 2 : 5. How much does Ananya get (in ₹)?
  30. 30.Divide ₹270 between Aarav and Isha in the ratio 9 : 1. How much does Aarav get (in ₹)?
  31. 31.Divide ₹560 between Kabir and Vivaan in the ratio 1 : 9. How much does Kabir get (in ₹)?
  32. 32.10 : 3 = 80 : ?
  33. 33.11 : 10 = 77 : ?
  34. 34.Divide ₹371 between Arjun and Dev in the ratio 5 : 2. How much does Dev get (in ₹)?
  35. 35.3 : 8 = 9 : ?
  36. 36.Divide ₹333 between Aarav and Kavya in the ratio 8 : 1. How much does Aarav get (in ₹)?
  37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  38. 38.6 : 10 = 12 : ?
  39. 39.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?

Answer key

  1. 36
  2. 18
  3. 301
  4. 148
  5. 28
  6. 64
  7. 84
  8. 8
  9. 18
  10. 98
  11. 208
  12. 24
  13. 20
  14. 35
  15. 225
  16. 21
  17. 175
  18. 8
  19. 330
  20. 55
  21. 16
  22. 36
  23. 235
  24. 30
  25. 21
  26. 40
  27. 6
  28. 51
  29. 60
  30. 243
  31. 56
  32. 24
  33. 70
  34. 106
  35. 24
  36. 296
  37. 32
  38. 20
  39. 25
  40. 16

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