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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 950 · 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 ₹45 between Manav and Aditya in the ratio 4 : 1. How much does Aditya get (in ₹)?
  2. 2.Divide ₹473 between Diya and Tara in the ratio 8 : 3. How much does Diya get (in ₹)?
  3. 3.Divide ₹736 between Nisha and Rohan in the ratio 9 : 7. How much does Nisha get (in ₹)?
  4. 4.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  5. 5.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  7. 7.8 : 15 = 24 : ?
  8. 8.12 : 3 = 48 : ?
  9. 9.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  10. 10.Divide ₹605 between Rahul and Priya in the ratio 8 : 3. How much does Rahul get (in ₹)?
  11. 11.8 : 2 = 16 : ?
  12. 12.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  13. 13.Divide ₹234 between Saanvi and Pooja in the ratio 5 : 1. How much does Saanvi get (in ₹)?
  14. 14.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  15. 15.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  16. 16.Divide ₹588 between Sneha and Nisha in the ratio 7 : 5. How much does Nisha get (in ₹)?
  17. 17.Divide ₹132 between Aarav and Kabir in the ratio 1 : 2. How much does Aarav get (in ₹)?
  18. 18.Divide ₹429 between Farhan and Kavya in the ratio 9 : 4. How much does Farhan get (in ₹)?
  19. 19.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  20. 20.Divide ₹312 between Diya and Nisha in the ratio 1 : 7. How much does Nisha get (in ₹)?
  21. 21.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  22. 22.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  23. 23.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  24. 24.4 : 9 = 32 : ?
  25. 25.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  27. 27.Divide ₹429 between Meera and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  29. 29.Divide ₹416 between Karan and Rahul in the ratio 4 : 9. How much does Karan get (in ₹)?
  30. 30.Divide ₹208 between Pooja and Meera in the ratio 7 : 9. How much does Pooja get (in ₹)?
  31. 31.Divide ₹352 between Tara and Sneha in the ratio 5 : 6. How much does Tara get (in ₹)?
  32. 32.Divide ₹266 between Sneha and Dev in the ratio 6 : 1. How much does Dev get (in ₹)?
  33. 33.Divide ₹198 between Arjun and Diya in the ratio 4 : 7. How much does Arjun get (in ₹)?
  34. 34.8 : 5 = 24 : ?
  35. 35.Divide ₹112 between Isha and Tara in the ratio 2 : 5. How much does Tara get (in ₹)?
  36. 36.12 : 5 = 60 : ?
  37. 37.Divide ₹600 between Isha and Manav in the ratio 7 : 8. How much does Isha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
  39. 39.10 : 3 = 90 : ?
  40. 40.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).

Answer key

  1. 9
  2. 344
  3. 414
  4. 18
  5. 40
  6. 15
  7. 45
  8. 12
  9. 50
  10. 440
  11. 4
  12. 30
  13. 195
  14. 32
  15. 128
  16. 245
  17. 44
  18. 297
  19. 54
  20. 273
  21. 100
  22. 30
  23. 32
  24. 72
  25. 81
  26. 36
  27. 351
  28. 28
  29. 128
  30. 91
  31. 160
  32. 38
  33. 72
  34. 15
  35. 80
  36. 25
  37. 280
  38. 42
  39. 27
  40. 12

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