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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 179 · 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 ₹864 between Kavya and Aarav in the ratio 7 : 9. How much does Kavya get (in ₹)?
  2. 2.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  3. 3.6 : 14 = 54 : ?
  4. 4.12 : 4 = 72 : ?
  5. 5.11 : 10 = 44 : ?
  6. 6.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  10. 10.Divide ₹112 between Sneha and Ananya in the ratio 5 : 3. How much does Ananya get (in ₹)?
  11. 11.Divide ₹156 between Manav and Tara in the ratio 7 : 5. How much does Tara get (in ₹)?
  12. 12.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  13. 13.3 : 14 = 27 : ?
  14. 14.Divide ₹378 between Saanvi and Rahul in the ratio 4 : 5. How much does Saanvi get (in ₹)?
  15. 15.12 : 15 = 96 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  17. 17.Divide ₹159 between Isha and Rahul in the ratio 1 : 2. How much does Isha get (in ₹)?
  18. 18.Divide ₹570 between Aarav and Diya in the ratio 7 : 8. How much does Diya get (in ₹)?
  19. 19.7 : 15 = 49 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  22. 22.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  23. 23.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  24. 24.8 : 7 = 64 : ?
  25. 25.Divide ₹200 between Karan and Ananya in the ratio 2 : 3. How much does Ananya get (in ₹)?
  26. 26.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.6 : 15 = 48 : ?
  29. 29.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  30. 30.Divide ₹256 between Isha and Dev in the ratio 7 : 9. How much does Dev get (in ₹)?
  31. 31.8 : 6 = 72 : ?
  32. 32.Divide ₹780 between Ishaan and Manav in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  36. 36.2 : 13 = 6 : ?
  37. 37.Divide ₹870 between Rahul and Arjun in the ratio 7 : 8. How much does Arjun get (in ₹)?
  38. 38.Divide ₹51 between Dev and Farhan in the ratio 2 : 1. How much does Farhan get (in ₹)?
  39. 39.3 : 9 = 6 : ?
  40. 40.Divide ₹374 between Meera and Saanvi in the ratio 5 : 6. How much does Meera get (in ₹)?

Answer key

  1. 378
  2. 48
  3. 126
  4. 24
  5. 40
  6. 30
  7. 21
  8. 32
  9. 96
  10. 42
  11. 65
  12. 200
  13. 126
  14. 168
  15. 120
  16. 6
  17. 53
  18. 304
  19. 105
  20. 10
  21. 60
  22. 128
  23. 6
  24. 56
  25. 120
  26. 64
  27. 16
  28. 120
  29. 10
  30. 144
  31. 54
  32. 300
  33. 25
  34. 36
  35. 36
  36. 39
  37. 464
  38. 17
  39. 18
  40. 170

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