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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 671 · 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 ₹232 between Meera and Rohan in the ratio 1 : 7. How much does Meera get (in ₹)?
  2. 2.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  3. 3.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  4. 4.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  5. 5.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  6. 6.8 : 4 = 32 : ?
  7. 7.Divide ₹550 between Aditya and Kavya in the ratio 7 : 4. How much does Aditya get (in ₹)?
  8. 8.Divide ₹168 between Sneha and Priya in the ratio 6 : 1. How much does Priya get (in ₹)?
  9. 9.12 : 14 = 48 : ?
  10. 10.Divide ₹600 between Saanvi and Manav in the ratio 8 : 7. How much does Manav get (in ₹)?
  11. 11.Divide ₹108 between Kavya and Zoya in the ratio 8 : 1. How much does Zoya get (in ₹)?
  12. 12.8 : 5 = 40 : ?
  13. 13.Divide ₹697 between Sneha and Kabir in the ratio 9 : 8. How much does Sneha get (in ₹)?
  14. 14.Divide ₹48 between Farhan and Nisha in the ratio 1 : 5. How much does Farhan get (in ₹)?
  15. 15.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  16. 16.3 : 12 = 27 : ?
  17. 17.Divide ₹816 between Meera and Manav in the ratio 9 : 8. How much does Manav get (in ₹)?
  18. 18.10 : 14 = 50 : ?
  19. 19.3 : 2 = 27 : ?
  20. 20.Divide ₹300 between Meera and Manav in the ratio 2 : 3. How much does Meera get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  22. 22.8 : 14 = 56 : ?
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.Divide ₹132 between Sneha and Kavya in the ratio 2 : 1. How much does Kavya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  26. 26.10 : 4 = 80 : ?
  27. 27.3 : 8 = 12 : ?
  28. 28.Divide ₹80 between Kavya and Saanvi in the ratio 1 : 9. How much does Saanvi get (in ₹)?
  29. 29.5 : 7 = 35 : ?
  30. 30.Divide ₹189 between Manav and Priya in the ratio 4 : 3. How much does Priya get (in ₹)?
  31. 31.Divide ₹60 between Vivaan and Zoya in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  33. 33.2 : 3 = 16 : ?
  34. 34.2 : 8 = 16 : ?
  35. 35.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  36. 36.6 : 13 = 18 : ?
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  39. 39.11 : 13 = 77 : ?
  40. 40.4 : 13 = 8 : ?

Answer key

  1. 29
  2. 128
  3. 12
  4. 63
  5. 5
  6. 16
  7. 350
  8. 24
  9. 56
  10. 280
  11. 12
  12. 25
  13. 369
  14. 8
  15. 81
  16. 108
  17. 384
  18. 70
  19. 18
  20. 120
  21. 9
  22. 98
  23. 32
  24. 44
  25. 15
  26. 32
  27. 32
  28. 72
  29. 49
  30. 81
  31. 40
  32. 24
  33. 24
  34. 64
  35. 20
  36. 39
  37. 18
  38. 80
  39. 91
  40. 26

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