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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 625 · 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.Divide ₹325 between Pooja and Diya in the ratio 6 : 7. How much does Pooja get (in ₹)?
  2. 2.Divide ₹285 between Farhan and Dev in the ratio 2 : 3. How much does Farhan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  6. 6.6 : 3 = 30 : ?
  7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  8. 8.Divide ₹104 between Rohan and Nisha in the ratio 8 : 5. How much does Nisha get (in ₹)?
  9. 9.Divide ₹460 between Diya and Sneha in the ratio 9 : 1. How much does Diya get (in ₹)?
  10. 10.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  11. 11.Divide ₹408 between Aditya and Karan in the ratio 7 : 1. How much does Karan get (in ₹)?
  12. 12.5 : 4 = 10 : ?
  13. 13.12 : 8 = 24 : ?
  14. 14.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  15. 15.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  16. 16.Divide ₹560 between Sneha and Ishaan in the ratio 7 : 9. How much does Sneha get (in ₹)?
  17. 17.5 : 10 = 20 : ?
  18. 18.Divide ₹40 between Rahul and Sneha in the ratio 5 : 3. How much does Sneha get (in ₹)?
  19. 19.10 : 15 = 30 : ?
  20. 20.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  21. 21.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  22. 22.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  23. 23.7 : 2 = 49 : ?
  24. 24.4 : 14 = 36 : ?
  25. 25.Divide ₹189 between Vivaan and Diya in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  26. 26.Divide ₹165 between Ishaan and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  29. 29.3 : 10 = 27 : ?
  30. 30.4 : 13 = 28 : ?
  31. 31.Divide ₹235 between Rohan and Meera in the ratio 3 : 2. How much does Rohan get (in ₹)?
  32. 32.Divide ₹210 between Manav and Aditya in the ratio 7 : 8. How much does Aditya get (in ₹)?
  33. 33.Divide ₹108 between Nisha and Priya in the ratio 1 : 3. How much does Nisha get (in ₹)?
  34. 34.Divide ₹185 between Zoya and Manav in the ratio 4 : 1. How much does Zoya get (in ₹)?
  35. 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  36. 36.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  37. 37.2 : 15 = 16 : ?
  38. 38.Divide ₹370 between Pooja and Kabir in the ratio 9 : 1. How much does Pooja get (in ₹)?
  39. 39.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  40. 40.Divide ₹64 between Karan and Farhan in the ratio 3 : 1. How much does Karan get (in ₹)?

Answer key

  1. 150
  2. 114
  3. 32
  4. 5
  5. 10
  6. 15
  7. 16
  8. 40
  9. 414
  10. 28
  11. 51
  12. 8
  13. 16
  14. 21
  15. 112
  16. 245
  17. 40
  18. 15
  19. 45
  20. 21
  21. 128
  22. 9
  23. 14
  24. 126
  25. 27
  26. 99
  27. 10
  28. 49
  29. 90
  30. 91
  31. 141
  32. 112
  33. 27
  34. 148
  35. 63
  36. 64
  37. 120
  38. 333
  39. 81
  40. 48

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