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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 424 · 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.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  3. 3.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  4. 4.Divide ₹148 between Tara and Nisha in the ratio 1 : 3. How much does Nisha get (in ₹)?
  5. 5.2 : 9 = 10 : ?
  6. 6.Divide ₹900 between Saanvi and Vivaan in the ratio 8 : 7. How much does Saanvi get (in ₹)?
  7. 7.Divide ₹455 between Vivaan and Aarav in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  8. 8.Divide ₹261 between Karan and Ananya in the ratio 7 : 2. How much does Karan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  10. 10.2 : 4 = 6 : ?
  11. 11.8 : 7 = 64 : ?
  12. 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  13. 13.Divide ₹130 between Aarav and Arjun in the ratio 9 : 4. How much does Aarav get (in ₹)?
  14. 14.3 : 4 = 24 : ?
  15. 15.5 : 2 = 30 : ?
  16. 16.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  17. 17.Divide ₹40 between Kabir and Rahul in the ratio 1 : 3. How much does Rahul get (in ₹)?
  18. 18.7 : 12 = 49 : ?
  19. 19.2 : 4 = 18 : ?
  20. 20.Divide ₹108 between Tara and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  21. 21.9 : 7 = 18 : ?
  22. 22.Divide ₹306 between Rohan and Zoya in the ratio 9 : 8. How much does Rohan get (in ₹)?
  23. 23.Divide ₹253 between Vivaan and Priya in the ratio 5 : 6. How much does Priya get (in ₹)?
  24. 24.9 : 14 = 18 : ?
  25. 25.Divide ₹315 between Arjun and Aarav in the ratio 4 : 5. How much does Aarav get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  27. 27.2 : 3 = 6 : ?
  28. 28.10 : 12 = 90 : ?
  29. 29.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  30. 30.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  31. 31.Divide ₹473 between Isha and Meera in the ratio 5 : 6. How much does Isha get (in ₹)?
  32. 32.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  33. 33.Divide ₹495 between Tara and Isha in the ratio 7 : 2. How much does Isha get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  35. 35.8 : 5 = 56 : ?
  36. 36.Divide ₹702 between Nisha and Priya in the ratio 4 : 9. How much does Nisha get (in ₹)?
  37. 37.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  38. 38.6 : 5 = 12 : ?
  39. 39.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  40. 40.Divide ₹130 between Arjun and Kavya in the ratio 4 : 1. How much does Arjun get (in ₹)?

Answer key

  1. 12
  2. 4
  3. 45
  4. 111
  5. 45
  6. 480
  7. 245
  8. 203
  9. 27
  10. 12
  11. 56
  12. 28
  13. 90
  14. 32
  15. 12
  16. 24
  17. 30
  18. 84
  19. 36
  20. 72
  21. 14
  22. 162
  23. 138
  24. 28
  25. 175
  26. 80
  27. 9
  28. 108
  29. 80
  30. 54
  31. 215
  32. 50
  33. 110
  34. 8
  35. 35
  36. 216
  37. 63
  38. 10
  39. 18
  40. 104

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