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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 132 · 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. 1.6 : 5 = 18 : ?
  2. 2.The ratio of boys to girls in a class is 5 : 3. There are 30 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  4. 4.7 : 14 = 56 : ?
  5. 5.Divide ₹70 between Kabir and Arjun in the ratio 5 : 9. How much does Kabir get (in ₹)?
  6. 6.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  7. 7.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  8. 8.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  9. 9.Divide ₹144 between Dev and Kavya in the ratio 5 : 3. How much does Kavya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  11. 11.6 : 11 = 36 : ?
  12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  13. 13.6 : 7 = 42 : ?
  14. 14.Divide ₹374 between Tara and Nisha in the ratio 3 : 8. How much does Nisha get (in ₹)?
  15. 15.10 : 4 = 90 : ?
  16. 16.Divide ₹252 between Rahul and Arjun in the ratio 9 : 5. How much does Arjun get (in ₹)?
  17. 17.Divide ₹220 between Rahul and Priya in the ratio 1 : 3. How much does Rahul get (in ₹)?
  18. 18.4 : 2 = 36 : ?
  19. 19.Divide ₹70 between Rahul and Sneha in the ratio 4 : 3. How much does Rahul get (in ₹)?
  20. 20.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  21. 21.8 : 7 = 72 : ?
  22. 22.Divide ₹258 between Vivaan and Karan in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.3 : 10 = 24 : ?
  25. 25.Divide ₹432 between Pooja and Rahul in the ratio 9 : 7. How much does Rahul get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?
  29. 29.Divide ₹80 between Aarav and Priya in the ratio 3 : 5. How much does Aarav get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  31. 31.Divide ₹154 between Aarav and Vivaan in the ratio 2 : 9. How much does Aarav get (in ₹)?
  32. 32.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  33. 33.3 : 10 = 9 : ?
  34. 34.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  35. 35.Divide ₹867 between Zoya and Ishaan in the ratio 9 : 8. How much does Ishaan get (in ₹)?
  36. 36.2 : 14 = 18 : ?
  37. 37.7 : 8 = 42 : ?
  38. 38.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  39. 39.Divide ₹270 between Meera and Arjun in the ratio 1 : 4. How much does Arjun get (in ₹)?
  40. 40.Divide ₹159 between Nisha and Aditya in the ratio 2 : 1. How much does Aditya get (in ₹)?

Answer key

  1. 15
  2. 18
  3. 12
  4. 112
  5. 25
  6. 20
  7. 35
  8. 45
  9. 54
  10. 30
  11. 66
  12. 100
  13. 49
  14. 272
  15. 36
  16. 90
  17. 55
  18. 18
  19. 40
  20. 96
  21. 63
  22. 215
  23. 125
  24. 80
  25. 189
  26. 14
  27. 27
  28. 50
  29. 30
  30. 30
  31. 28
  32. 112
  33. 30
  34. 24
  35. 408
  36. 126
  37. 48
  38. 36
  39. 216
  40. 53

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