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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 219 · 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. 1.3 : 15 = 27 : ?
  2. 2.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  4. 4.6 : 15 = 24 : ?
  5. 5.Divide ₹480 between Kabir and Rahul in the ratio 1 : 7. How much does Kabir get (in ₹)?
  6. 6.11 : 10 = 66 : ?
  7. 7.7 : 11 = 42 : ?
  8. 8.Divide ₹714 between Nisha and Aarav in the ratio 9 : 5. How much does Aarav get (in ₹)?
  9. 9.9 : 15 = 45 : ?
  10. 10.Divide ₹140 between Vivaan and Ananya in the ratio 7 : 3. How much does Ananya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 9 : 8. There are 72 boys. How many girls are there?
  12. 12.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  13. 13.11 : 2 = 77 : ?
  14. 14.Divide ₹240 between Manav and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 9. There are 56 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  17. 17.5 : 8 = 10 : ?
  18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  19. 19.2 : 9 = 18 : ?
  20. 20.9 : 13 = 81 : ?
  21. 21.Divide ₹450 between Nisha and Kabir in the ratio 5 : 4. How much does Kabir get (in ₹)?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.Divide ₹220 between Ishaan and Rahul in the ratio 9 : 2. How much does Rahul get (in ₹)?
  24. 24.Divide ₹147 between Tara and Saanvi in the ratio 6 : 1. How much does Tara get (in ₹)?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  27. 27.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  28. 28.Divide ₹372 between Nisha and Karan in the ratio 7 : 5. How much does Nisha get (in ₹)?
  29. 29.Divide ₹288 between Arjun and Diya in the ratio 1 : 7. How much does Arjun get (in ₹)?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.Divide ₹90 between Aarav and Aditya in the ratio 1 : 9. How much does Aarav get (in ₹)?
  32. 32.Divide ₹782 between Ananya and Manav in the ratio 8 : 9. How much does Manav get (in ₹)?
  33. 33.Divide ₹240 between Vivaan and Tara in the ratio 1 : 4. How much does Tara get (in ₹)?
  34. 34.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  35. 35.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  36. 36.Divide ₹451 between Kabir and Tara in the ratio 7 : 4. How much does Tara get (in ₹)?
  37. 37.Divide ₹81 between Kavya and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  38. 38.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  39. 39.Divide ₹424 between Diya and Karan in the ratio 1 : 7. How much does Diya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?

Answer key

  1. 135
  2. 27
  3. 20
  4. 60
  5. 60
  6. 60
  7. 66
  8. 255
  9. 75
  10. 42
  11. 64
  12. 64
  13. 14
  14. 210
  15. 63
  16. 12
  17. 16
  18. 24
  19. 81
  20. 117
  21. 200
  22. 8
  23. 40
  24. 126
  25. 200
  26. 14
  27. 175
  28. 217
  29. 36
  30. 63
  31. 9
  32. 414
  33. 192
  34. 32
  35. 100
  36. 164
  37. 72
  38. 75
  39. 53
  40. 9

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