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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 421 · 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. 1.11 : 3 = 66 : ?
  2. 2.Divide ₹935 between Priya and Aditya in the ratio 9 : 8. How much does Priya get (in ₹)?
  3. 3.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  4. 4.Divide ₹160 between Farhan and Dev in the ratio 9 : 7. How much does Dev get (in ₹)?
  5. 5.12 : 3 = 96 : ?
  6. 6.11 : 13 = 22 : ?
  7. 7.Divide ₹90 between Diya and Rahul in the ratio 7 : 2. How much does Diya get (in ₹)?
  8. 8.11 : 4 = 22 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  10. 10.3 : 5 = 18 : ?
  11. 11.Divide ₹430 between Isha and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
  12. 12.Divide ₹870 between Zoya and Farhan in the ratio 7 : 8. How much does Zoya get (in ₹)?
  13. 13.2 : 14 = 6 : ?
  14. 14.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  15. 15.Divide ₹650 between Priya and Farhan in the ratio 9 : 4. How much does Farhan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  17. 17.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  21. 21.Divide ₹108 between Meera and Farhan in the ratio 1 : 3. How much does Meera get (in ₹)?
  22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  23. 23.Divide ₹221 between Kavya and Farhan in the ratio 4 : 9. How much does Kavya get (in ₹)?
  24. 24.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  25. 25.Divide ₹261 between Isha and Meera in the ratio 4 : 5. How much does Meera get (in ₹)?
  26. 26.2 : 7 = 18 : ?
  27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  30. 30.Divide ₹25 between Aarav and Dev in the ratio 2 : 3. How much does Aarav get (in ₹)?
  31. 31.Divide ₹168 between Diya and Sneha in the ratio 1 : 2. How much does Diya get (in ₹)?
  32. 32.Divide ₹132 between Pooja and Rohan in the ratio 3 : 8. How much does Pooja get (in ₹)?
  33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  34. 34.12 : 13 = 108 : ?
  35. 35.8 : 9 = 32 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  37. 37.Divide ₹40 between Kabir and Kavya in the ratio 1 : 4. How much does Kavya get (in ₹)?
  38. 38.Divide ₹442 between Arjun and Meera in the ratio 6 : 7. How much does Meera get (in ₹)?
  39. 39.5 : 9 = 35 : ?
  40. 40.Divide ₹588 between Ishaan and Tara in the ratio 9 : 5. How much does Tara get (in ₹)?

Answer key

  1. 18
  2. 495
  3. 150
  4. 70
  5. 24
  6. 26
  7. 70
  8. 8
  9. 9
  10. 30
  11. 43
  12. 406
  13. 42
  14. 49
  15. 200
  16. 45
  17. 144
  18. 8
  19. 125
  20. 32
  21. 27
  22. 16
  23. 68
  24. 64
  25. 145
  26. 63
  27. 18
  28. 20
  29. 35
  30. 10
  31. 56
  32. 36
  33. 28
  34. 117
  35. 36
  36. 40
  37. 32
  38. 238
  39. 63
  40. 210

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