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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 134 · 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 9 and 27 (that is, 9 : 27 = 27 : ?).
  2. 2.Divide ₹570 between Rohan and Zoya in the ratio 9 : 1. How much does Zoya get (in ₹)?
  3. 3.4 : 14 = 36 : ?
  4. 4.8 : 11 = 48 : ?
  5. 5.Divide ₹96 between Aarav and Farhan in the ratio 2 : 1. How much does Aarav get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  7. 7.6 : 4 = 30 : ?
  8. 8.Divide ₹270 between Rohan and Zoya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  9. 9.3 : 4 = 12 : ?
  10. 10.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  11. 11.9 : 7 = 54 : ?
  12. 12.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  13. 13.Divide ₹128 between Aditya and Isha in the ratio 1 : 3. How much does Aditya get (in ₹)?
  14. 14.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  15. 15.Divide ₹180 between Aarav and Diya in the ratio 7 : 3. How much does Aarav get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  17. 17.Divide ₹140 between Aarav and Zoya in the ratio 3 : 4. How much does Zoya get (in ₹)?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.Divide ₹88 between Aditya and Saanvi in the ratio 3 : 8. How much does Aditya get (in ₹)?
  20. 20.Divide ₹270 between Priya and Manav in the ratio 8 : 1. How much does Manav get (in ₹)?
  21. 21.Divide ₹135 between Priya and Aarav in the ratio 1 : 8. How much does Aarav get (in ₹)?
  22. 22.8 : 10 = 32 : ?
  23. 23.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  24. 24.Divide ₹242 between Kavya and Nisha in the ratio 9 : 2. How much does Kavya get (in ₹)?
  25. 25.12 : 14 = 108 : ?
  26. 26.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  27. 27.4 : 5 = 16 : ?
  28. 28.Divide ₹325 between Saanvi and Aarav in the ratio 8 : 5. How much does Aarav get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  32. 32.Divide ₹42 between Aditya and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  33. 33.Divide ₹164 between Manav and Meera in the ratio 3 : 1. How much does Manav get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  35. 35.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  36. 36.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  37. 37.Divide ₹280 between Zoya and Diya in the ratio 4 : 1. How much does Zoya get (in ₹)?
  38. 38.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  39. 39.Divide ₹252 between Diya and Nisha in the ratio 5 : 1. How much does Diya get (in ₹)?
  40. 40.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).

Answer key

  1. 81
  2. 57
  3. 126
  4. 66
  5. 64
  6. 40
  7. 20
  8. 216
  9. 16
  10. 21
  11. 42
  12. 35
  13. 32
  14. 175
  15. 126
  16. 5
  17. 80
  18. 16
  19. 24
  20. 30
  21. 120
  22. 40
  23. 12
  24. 198
  25. 126
  26. 12
  27. 20
  28. 125
  29. 63
  30. 63
  31. 6
  32. 14
  33. 123
  34. 12
  35. 28
  36. 70
  37. 224
  38. 64
  39. 210
  40. 50

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