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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 679 · 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 ₹798 between Rahul and Dev in the ratio 5 : 9. How much does Dev get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  3. 3.4 : 3 = 24 : ?
  4. 4.Divide ₹390 between Aarav and Ananya in the ratio 1 : 9. How much does Aarav get (in ₹)?
  5. 5.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  6. 6.7 : 5 = 21 : ?
  7. 7.Divide ₹315 between Manav and Rahul in the ratio 8 : 1. How much does Manav get (in ₹)?
  8. 8.8 : 14 = 16 : ?
  9. 9.Divide ₹212 between Priya and Arjun in the ratio 3 : 1. How much does Priya get (in ₹)?
  10. 10.Divide ₹64 between Ananya and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  11. 11.12 : 13 = 84 : ?
  12. 12.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  13. 13.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  14. 14.7 : 5 = 14 : ?
  15. 15.Divide ₹320 between Meera and Sneha in the ratio 5 : 3. How much does Meera get (in ₹)?
  16. 16.11 : 10 = 77 : ?
  17. 17.9 : 12 = 36 : ?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  20. 20.9 : 2 = 63 : ?
  21. 21.4 : 7 = 32 : ?
  22. 22.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  24. 24.6 : 10 = 18 : ?
  25. 25.Divide ₹96 between Arjun and Sneha in the ratio 1 : 7. How much does Arjun get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  27. 27.Divide ₹561 between Zoya and Aditya in the ratio 2 : 9. How much does Aditya get (in ₹)?
  28. 28.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  29. 29.Divide ₹161 between Rohan and Farhan in the ratio 2 : 5. How much does Rohan get (in ₹)?
  30. 30.4 : 2 = 32 : ?
  31. 31.Divide ₹176 between Meera and Saanvi in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  32. 32.Divide ₹135 between Manav and Farhan in the ratio 1 : 8. How much does Manav get (in ₹)?
  33. 33.Divide ₹430 between Aarav and Kavya in the ratio 9 : 1. How much does Aarav get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  37. 37.Divide ₹108 between Kavya and Ishaan in the ratio 1 : 8. How much does Kavya get (in ₹)?
  38. 38.Divide ₹702 between Diya and Dev in the ratio 4 : 9. How much does Dev get (in ₹)?
  39. 39.Divide ₹168 between Aditya and Isha in the ratio 7 : 5. How much does Aditya get (in ₹)?
  40. 40.3 : 5 = 18 : ?

Answer key

  1. 513
  2. 40
  3. 18
  4. 39
  5. 36
  6. 15
  7. 280
  8. 28
  9. 159
  10. 56
  11. 91
  12. 3
  13. 27
  14. 10
  15. 200
  16. 70
  17. 48
  18. 32
  19. 100
  20. 14
  21. 56
  22. 40
  23. 50
  24. 30
  25. 12
  26. 25
  27. 459
  28. 200
  29. 46
  30. 16
  31. 132
  32. 15
  33. 387
  34. 4
  35. 12
  36. 28
  37. 12
  38. 486
  39. 98
  40. 30

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