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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 665 · 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 18 (that is, 9 : 18 = 18 : ?).
  2. 2.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  4. 4.Divide ₹598 between Diya and Saanvi in the ratio 4 : 9. How much does Diya get (in ₹)?
  5. 5.11 : 14 = 33 : ?
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.Divide ₹110 between Priya and Ananya in the ratio 9 : 1. How much does Ananya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  9. 9.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  10. 10.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  11. 11.Divide ₹341 between Arjun and Saanvi in the ratio 3 : 8. How much does Arjun get (in ₹)?
  12. 12.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  13. 13.3 : 4 = 24 : ?
  14. 14.5 : 6 = 35 : ?
  15. 15.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  16. 16.4 : 2 = 8 : ?
  17. 17.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  18. 18.Divide ₹1020 between Kavya and Aditya in the ratio 8 : 9. How much does Aditya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  20. 20.4 : 12 = 20 : ?
  21. 21.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  22. 22.Divide ₹590 between Diya and Manav in the ratio 7 : 3. How much does Manav get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  24. 24.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  25. 25.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  26. 26.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  27. 27.Divide ₹560 between Isha and Ishaan in the ratio 9 : 7. How much does Isha get (in ₹)?
  28. 28.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  29. 29.Divide ₹228 between Aditya and Aarav in the ratio 5 : 7. How much does Aditya get (in ₹)?
  30. 30.6 : 2 = 24 : ?
  31. 31.Divide ₹210 between Ishaan and Pooja in the ratio 4 : 1. How much does Pooja get (in ₹)?
  32. 32.3 : 2 = 27 : ?
  33. 33.Divide ₹108 between Nisha and Rahul in the ratio 1 : 5. How much does Nisha get (in ₹)?
  34. 34.Divide ₹217 between Sneha and Rahul in the ratio 4 : 3. How much does Sneha get (in ₹)?
  35. 35.8 : 7 = 16 : ?
  36. 36.2 : 15 = 4 : ?
  37. 37.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  38. 38.Divide ₹424 between Priya and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  39. 39.3 : 14 = 27 : ?
  40. 40.Divide ₹369 between Tara and Saanvi in the ratio 1 : 8. How much does Tara get (in ₹)?

Answer key

  1. 36
  2. 14
  3. 30
  4. 184
  5. 42
  6. 18
  7. 11
  8. 49
  9. 16
  10. 45
  11. 93
  12. 32
  13. 32
  14. 42
  15. 20
  16. 4
  17. 32
  18. 540
  19. 32
  20. 60
  21. 2
  22. 177
  23. 24
  24. 54
  25. 72
  26. 28
  27. 315
  28. 50
  29. 95
  30. 8
  31. 42
  32. 18
  33. 18
  34. 124
  35. 14
  36. 30
  37. 48
  38. 371
  39. 126
  40. 41

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