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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 666 · 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 : 8 = 63 : ?
  2. 2.12 : 2 = 60 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  5. 5.Divide ₹870 between Vivaan and Tara in the ratio 7 : 8. How much does Vivaan get (in ₹)?
  6. 6.Divide ₹216 between Aarav and Rohan in the ratio 2 : 7. How much does Rohan get (in ₹)?
  7. 7.2 : 14 = 18 : ?
  8. 8.Divide ₹464 between Rahul and Manav in the ratio 5 : 3. How much does Rahul get (in ₹)?
  9. 9.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  10. 10.6 : 8 = 18 : ?
  11. 11.Divide ₹49 between Saanvi and Rohan in the ratio 3 : 4. How much does Rohan get (in ₹)?
  12. 12.Divide ₹240 between Karan and Nisha in the ratio 8 : 7. How much does Nisha get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  15. 15.Divide ₹66 between Zoya and Meera in the ratio 1 : 2. How much does Zoya get (in ₹)?
  16. 16.Divide ₹343 between Arjun and Rohan in the ratio 3 : 4. How much does Arjun get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  18. 18.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  19. 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  20. 20.The ratio of boys to girls in a class is 1 : 4. There are 8 boys. How many girls are there?
  21. 21.8 : 4 = 64 : ?
  22. 22.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  23. 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  24. 24.Divide ₹455 between Arjun and Isha in the ratio 8 : 5. How much does Arjun get (in ₹)?
  25. 25.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  26. 26.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  27. 27.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  28. 28.Divide ₹60 between Saanvi and Kavya in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  30. 30.4 : 3 = 12 : ?
  31. 31.Divide ₹308 between Isha and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  33. 33.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  34. 34.2 : 7 = 4 : ?
  35. 35.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  36. 36.8 : 15 = 56 : ?
  37. 37.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  38. 38.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  39. 39.Divide ₹40 between Nisha and Kabir in the ratio 3 : 2. How much does Kabir get (in ₹)?
  40. 40.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).

Answer key

  1. 56
  2. 10
  3. 3
  4. 90
  5. 406
  6. 168
  7. 126
  8. 290
  9. 16
  10. 24
  11. 28
  12. 112
  13. 7
  14. 63
  15. 22
  16. 147
  17. 4
  18. 144
  19. 8
  20. 32
  21. 32
  22. 12
  23. 72
  24. 280
  25. 100
  26. 128
  27. 2
  28. 20
  29. 8
  30. 9
  31. 56
  32. 80
  33. 27
  34. 14
  35. 96
  36. 105
  37. 48
  38. 63
  39. 16
  40. 45

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