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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 989 · 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.Divide ₹442 between Farhan and Manav in the ratio 7 : 6. How much does Manav get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  3. 3.8 : 3 = 40 : ?
  4. 4.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  5. 5.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  7. 7.5 : 7 = 30 : ?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.5 : 14 = 15 : ?
  11. 11.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  12. 12.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  13. 13.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  14. 14.Divide ₹484 between Aarav and Zoya in the ratio 2 : 9. How much does Zoya get (in ₹)?
  15. 15.3 : 10 = 27 : ?
  16. 16.3 : 15 = 15 : ?
  17. 17.11 : 8 = 77 : ?
  18. 18.11 : 13 = 44 : ?
  19. 19.5 : 10 = 35 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  22. 22.Divide ₹704 between Nisha and Sneha in the ratio 9 : 7. How much does Sneha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  24. 24.2 : 7 = 16 : ?
  25. 25.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  27. 27.Divide ₹135 between Pooja and Aarav in the ratio 5 : 4. How much does Pooja get (in ₹)?
  28. 28.Divide ₹108 between Rohan and Farhan in the ratio 1 : 5. How much does Farhan get (in ₹)?
  29. 29.10 : 13 = 40 : ?
  30. 30.Divide ₹638 between Kavya and Priya in the ratio 7 : 4. How much does Kavya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  32. 32.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  33. 33.Divide ₹136 between Karan and Meera in the ratio 3 : 1. How much does Meera get (in ₹)?
  34. 34.Divide ₹390 between Sneha and Meera in the ratio 1 : 9. How much does Sneha get (in ₹)?
  35. 35.Divide ₹99 between Pooja and Tara in the ratio 8 : 1. How much does Pooja get (in ₹)?
  36. 36.Divide ₹520 between Ishaan and Diya in the ratio 4 : 9. How much does Diya get (in ₹)?
  37. 37.7 : 5 = 21 : ?
  38. 38.6 : 13 = 18 : ?
  39. 39.Divide ₹357 between Manav and Saanvi in the ratio 3 : 4. How much does Saanvi get (in ₹)?
  40. 40.Divide ₹147 between Rohan and Isha in the ratio 6 : 1. How much does Rohan get (in ₹)?

Answer key

  1. 204
  2. 8
  3. 15
  4. 28
  5. 80
  6. 15
  7. 42
  8. 80
  9. 32
  10. 42
  11. 18
  12. 18
  13. 128
  14. 396
  15. 90
  16. 75
  17. 56
  18. 52
  19. 70
  20. 8
  21. 100
  22. 308
  23. 72
  24. 56
  25. 4
  26. 32
  27. 75
  28. 90
  29. 52
  30. 406
  31. 25
  32. 20
  33. 34
  34. 39
  35. 88
  36. 360
  37. 15
  38. 39
  39. 204
  40. 126

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