← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 534 · 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 3 : 1. There are 9 boys. How many girls are there?
  2. 2.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  3. 3.4 : 11 = 20 : ?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  6. 6.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  7. 7.8 : 14 = 64 : ?
  8. 8.The ratio of boys to girls in a class is 8 : 9. There are 72 boys. How many girls are there?
  9. 9.Divide ₹207 between Vivaan and Karan in the ratio 7 : 2. How much does Vivaan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  11. 11.Divide ₹351 between Arjun and Isha in the ratio 5 : 8. How much does Arjun get (in ₹)?
  12. 12.Divide ₹420 between Kavya and Pooja in the ratio 7 : 5. How much does Kavya get (in ₹)?
  13. 13.3 : 4 = 24 : ?
  14. 14.Divide ₹72 between Meera and Isha in the ratio 1 : 5. How much does Meera get (in ₹)?
  15. 15.Divide ₹588 between Kabir and Karan in the ratio 5 : 7. How much does Karan get (in ₹)?
  16. 16.Divide ₹154 between Priya and Saanvi in the ratio 9 : 5. How much does Priya get (in ₹)?
  17. 17.Divide ₹120 between Diya and Farhan in the ratio 1 : 2. How much does Diya get (in ₹)?
  18. 18.Divide ₹275 between Meera and Arjun in the ratio 1 : 4. How much does Meera get (in ₹)?
  19. 19.Divide ₹156 between Isha and Diya in the ratio 5 : 8. How much does Isha get (in ₹)?
  20. 20.Divide ₹204 between Arjun and Manav in the ratio 1 : 5. How much does Arjun get (in ₹)?
  21. 21.Divide ₹308 between Priya and Ananya in the ratio 2 : 9. How much does Ananya get (in ₹)?
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.8 : 4 = 64 : ?
  24. 24.Divide ₹60 between Aarav and Dev in the ratio 1 : 4. How much does Aarav get (in ₹)?
  25. 25.3 : 5 = 21 : ?
  26. 26.Divide ₹112 between Aarav and Isha in the ratio 1 : 7. How much does Isha get (in ₹)?
  27. 27.Divide ₹360 between Aarav and Tara in the ratio 1 : 7. How much does Aarav get (in ₹)?
  28. 28.4 : 8 = 12 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  31. 31.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  32. 32.5 : 4 = 10 : ?
  33. 33.Divide ₹60 between Pooja and Arjun in the ratio 2 : 3. How much does Pooja get (in ₹)?
  34. 34.2 : 5 = 10 : ?
  35. 35.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  36. 36.3 : 5 = 9 : ?
  37. 37.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  38. 38.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  40. 40.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).

Answer key

  1. 3
  2. 72
  3. 55
  4. 16
  5. 70
  6. 175
  7. 112
  8. 81
  9. 161
  10. 28
  11. 135
  12. 245
  13. 32
  14. 12
  15. 343
  16. 99
  17. 40
  18. 55
  19. 60
  20. 34
  21. 252
  22. 80
  23. 32
  24. 12
  25. 35
  26. 98
  27. 45
  28. 24
  29. 32
  30. 144
  31. 20
  32. 8
  33. 24
  34. 25
  35. 15
  36. 15
  37. 96
  38. 10
  39. 12
  40. 64

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude