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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 830 · 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.Divide ₹656 between Kavya and Manav in the ratio 7 : 9. How much does Manav get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  3. 3.8 : 11 = 56 : ?
  4. 4.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.4 : 15 = 20 : ?
  7. 7.4 : 15 = 16 : ?
  8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  9. 9.8 : 5 = 72 : ?
  10. 10.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  11. 11.5 : 3 = 40 : ?
  12. 12.Divide ₹264 between Vivaan and Meera in the ratio 5 : 7. How much does Meera get (in ₹)?
  13. 13.7 : 4 = 42 : ?
  14. 14.Divide ₹336 between Zoya and Farhan in the ratio 7 : 5. How much does Farhan get (in ₹)?
  15. 15.7 : 15 = 42 : ?
  16. 16.4 : 12 = 8 : ?
  17. 17.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  18. 18.5 : 12 = 40 : ?
  19. 19.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  20. 20.10 : 9 = 30 : ?
  21. 21.Divide ₹232 between Arjun and Nisha in the ratio 1 : 7. How much does Nisha get (in ₹)?
  22. 22.6 : 15 = 48 : ?
  23. 23.2 : 14 = 6 : ?
  24. 24.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  26. 26.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  27. 27.6 : 12 = 12 : ?
  28. 28.Divide ₹24 between Rohan and Ishaan in the ratio 3 : 1. How much does Ishaan get (in ₹)?
  29. 29.Divide ₹66 between Dev and Karan in the ratio 9 : 2. How much does Dev get (in ₹)?
  30. 30.2 : 6 = 6 : ?
  31. 31.3 : 6 = 15 : ?
  32. 32.Divide ₹99 between Isha and Kabir in the ratio 7 : 4. How much does Isha get (in ₹)?
  33. 33.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  34. 34.3 : 8 = 24 : ?
  35. 35.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
  37. 37.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  38. 38.Divide ₹100 between Arjun and Karan in the ratio 3 : 7. How much does Karan get (in ₹)?
  39. 39.Divide ₹520 between Aarav and Farhan in the ratio 9 : 1. How much does Aarav get (in ₹)?
  40. 40.4 : 15 = 24 : ?

Answer key

  1. 369
  2. 14
  3. 77
  4. 24
  5. 128
  6. 75
  7. 60
  8. 28
  9. 45
  10. 144
  11. 24
  12. 154
  13. 24
  14. 140
  15. 90
  16. 24
  17. 100
  18. 96
  19. 75
  20. 27
  21. 203
  22. 120
  23. 42
  24. 90
  25. 12
  26. 12
  27. 24
  28. 6
  29. 54
  30. 18
  31. 30
  32. 63
  33. 125
  34. 64
  35. 40
  36. 36
  37. 112
  38. 70
  39. 468
  40. 90

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