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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 913 · 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.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  2. 2.11 : 13 = 33 : ?
  3. 3.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  4. 4.12 : 10 = 108 : ?
  5. 5.9 : 4 = 18 : ?
  6. 6.Divide ₹918 between Isha and Meera in the ratio 9 : 8. How much does Meera get (in ₹)?
  7. 7.Divide ₹27 between Kabir and Isha in the ratio 2 : 1. How much does Isha get (in ₹)?
  8. 8.Divide ₹336 between Ananya and Dev in the ratio 7 : 9. How much does Dev get (in ₹)?
  9. 9.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  10. 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  11. 11.Divide ₹177 between Kabir and Rahul in the ratio 2 : 1. How much does Rahul get (in ₹)?
  12. 12.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  13. 13.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  14. 14.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  15. 15.Divide ₹360 between Farhan and Manav in the ratio 8 : 1. How much does Farhan get (in ₹)?
  16. 16.Divide ₹588 between Saanvi and Arjun in the ratio 5 : 7. How much does Arjun get (in ₹)?
  17. 17.3 : 10 = 12 : ?
  18. 18.Divide ₹52 between Saanvi and Farhan in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  19. 19.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  20. 20.Divide ₹616 between Arjun and Priya in the ratio 3 : 8. How much does Arjun get (in ₹)?
  21. 21.7 : 15 = 63 : ?
  22. 22.7 : 9 = 49 : ?
  23. 23.9 : 12 = 54 : ?
  24. 24.Divide ₹119 between Isha and Zoya in the ratio 8 : 9. How much does Zoya get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  26. 26.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  27. 27.9 : 10 = 45 : ?
  28. 28.7 : 11 = 14 : ?
  29. 29.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  30. 30.11 : 8 = 77 : ?
  31. 31.3 : 4 = 18 : ?
  32. 32.11 : 2 = 44 : ?
  33. 33.Divide ₹147 between Nisha and Arjun in the ratio 5 : 2. How much does Nisha get (in ₹)?
  34. 34.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  35. 35.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  36. 36.Divide ₹648 between Kabir and Diya in the ratio 5 : 7. How much does Diya get (in ₹)?
  37. 37.Divide ₹143 between Ishaan and Kavya in the ratio 6 : 5. How much does Ishaan get (in ₹)?
  38. 38.2 : 7 = 6 : ?
  39. 39.9 : 3 = 36 : ?
  40. 40.2 : 6 = 16 : ?

Answer key

  1. 48
  2. 39
  3. 100
  4. 90
  5. 8
  6. 432
  7. 9
  8. 189
  9. 64
  10. 20
  11. 59
  12. 225
  13. 24
  14. 144
  15. 320
  16. 343
  17. 40
  18. 13
  19. 28
  20. 168
  21. 135
  22. 63
  23. 72
  24. 63
  25. 14
  26. 12
  27. 50
  28. 22
  29. 75
  30. 56
  31. 24
  32. 8
  33. 105
  34. 81
  35. 45
  36. 378
  37. 78
  38. 21
  39. 12
  40. 48

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