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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 440 · 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. 1.12 : 5 = 48 : ?
  2. 2.Divide ₹63 between Zoya and Karan in the ratio 2 : 7. How much does Zoya get (in ₹)?
  3. 3.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  4. 4.Divide ₹156 between Aarav and Meera in the ratio 8 : 5. How much does Meera get (in ₹)?
  5. 5.Divide ₹357 between Kavya and Aarav in the ratio 6 : 1. How much does Aarav get (in ₹)?
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.Divide ₹896 between Ananya and Kabir in the ratio 7 : 9. How much does Kabir get (in ₹)?
  8. 8.Divide ₹280 between Saanvi and Manav in the ratio 7 : 1. How much does Manav get (in ₹)?
  9. 9.Divide ₹33 between Isha and Tara in the ratio 1 : 2. How much does Tara get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  11. 11.8 : 11 = 72 : ?
  12. 12.Divide ₹150 between Dev and Tara in the ratio 1 : 4. How much does Tara get (in ₹)?
  13. 13.6 : 14 = 12 : ?
  14. 14.9 : 11 = 36 : ?
  15. 15.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  16. 16.Divide ₹30 between Zoya and Dev in the ratio 1 : 4. How much does Dev get (in ₹)?
  17. 17.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  18. 18.2 : 15 = 4 : ?
  19. 19.Divide ₹456 between Tara and Pooja in the ratio 1 : 7. How much does Pooja get (in ₹)?
  20. 20.4 : 15 = 28 : ?
  21. 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  22. 22.2 : 3 = 4 : ?
  23. 23.Divide ₹570 between Vivaan and Kabir in the ratio 1 : 9. How much does Vivaan get (in ₹)?
  24. 24.5 : 10 = 40 : ?
  25. 25.7 : 6 = 35 : ?
  26. 26.6 : 2 = 18 : ?
  27. 27.Divide ₹272 between Saanvi and Rohan in the ratio 9 : 7. How much does Saanvi get (in ₹)?
  28. 28.5 : 2 = 35 : ?
  29. 29.Divide ₹270 between Ananya and Diya in the ratio 4 : 1. How much does Diya get (in ₹)?
  30. 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  31. 31.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  32. 32.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  33. 33.10 : 4 = 20 : ?
  34. 34.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  36. 36.Divide ₹159 between Pooja and Priya in the ratio 1 : 2. How much does Pooja get (in ₹)?
  37. 37.2 : 3 = 14 : ?
  38. 38.Divide ₹154 between Arjun and Zoya in the ratio 4 : 3. How much does Arjun get (in ₹)?
  39. 39.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  40. 40.4 : 14 = 24 : ?

Answer key

  1. 20
  2. 14
  3. 200
  4. 60
  5. 51
  6. 72
  7. 504
  8. 35
  9. 22
  10. 10
  11. 99
  12. 120
  13. 28
  14. 44
  15. 18
  16. 24
  17. 125
  18. 30
  19. 399
  20. 105
  21. 32
  22. 6
  23. 57
  24. 80
  25. 30
  26. 6
  27. 153
  28. 14
  29. 54
  30. 16
  31. 36
  32. 24
  33. 8
  34. 18
  35. 18
  36. 53
  37. 21
  38. 88
  39. 64
  40. 84

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