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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 718 · 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. 1.9 : 4 = 72 : ?
  2. 2.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  3. 3.11 : 6 = 77 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  6. 6.Divide ₹413 between Priya and Kabir in the ratio 3 : 4. How much does Kabir get (in ₹)?
  7. 7.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  8. 8.8 : 7 = 32 : ?
  9. 9.Divide ₹130 between Saanvi and Nisha in the ratio 9 : 1. How much does Nisha get (in ₹)?
  10. 10.8 : 2 = 56 : ?
  11. 11.8 : 13 = 40 : ?
  12. 12.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  13. 13.Divide ₹108 between Saanvi and Vivaan in the ratio 1 : 8. How much does Vivaan get (in ₹)?
  14. 14.12 : 9 = 108 : ?
  15. 15.Divide ₹660 between Ananya and Tara in the ratio 8 : 3. How much does Tara get (in ₹)?
  16. 16.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  17. 17.Divide ₹420 between Meera and Rohan in the ratio 3 : 4. How much does Rohan get (in ₹)?
  18. 18.12 : 7 = 84 : ?
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.Divide ₹324 between Isha and Meera in the ratio 1 : 5. How much does Meera get (in ₹)?
  21. 21.5 : 12 = 20 : ?
  22. 22.4 : 15 = 24 : ?
  23. 23.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  24. 24.Divide ₹429 between Manav and Saanvi in the ratio 4 : 9. How much does Saanvi get (in ₹)?
  25. 25.Divide ₹266 between Ishaan and Vivaan in the ratio 3 : 4. How much does Vivaan get (in ₹)?
  26. 26.4 : 8 = 20 : ?
  27. 27.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  28. 28.3 : 2 = 9 : ?
  29. 29.11 : 14 = 77 : ?
  30. 30.9 : 10 = 18 : ?
  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.Divide ₹20 between Dev and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  34. 34.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  35. 35.11 : 5 = 33 : ?
  36. 36.Divide ₹15 between Saanvi and Kabir in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  39. 39.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  40. 40.Divide ₹150 between Dev and Rahul in the ratio 9 : 1. How much does Rahul get (in ₹)?

Answer key

  1. 32
  2. 35
  3. 42
  4. 40
  5. 9
  6. 236
  7. 32
  8. 28
  9. 13
  10. 14
  11. 65
  12. 50
  13. 96
  14. 81
  15. 180
  16. 175
  17. 240
  18. 49
  19. 27
  20. 270
  21. 48
  22. 90
  23. 20
  24. 297
  25. 152
  26. 40
  27. 3
  28. 6
  29. 98
  30. 20
  31. 25
  32. 15
  33. 14
  34. 32
  35. 15
  36. 5
  37. 3
  38. 12
  39. 36
  40. 15

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