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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 8 · 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 ₹429 between Tara and Kabir in the ratio 6 : 5. How much does Kabir get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  3. 3.2 : 14 = 18 : ?
  4. 4.Divide ₹192 between Ananya and Zoya in the ratio 9 : 7. How much does Ananya get (in ₹)?
  5. 5.4 : 12 = 8 : ?
  6. 6.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  8. 8.Divide ₹50 between Rohan and Arjun in the ratio 1 : 4. How much does Arjun get (in ₹)?
  9. 9.3 : 8 = 6 : ?
  10. 10.11 : 4 = 22 : ?
  11. 11.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.Divide ₹350 between Rohan and Dev in the ratio 5 : 2. How much does Dev get (in ₹)?
  14. 14.Divide ₹216 between Manav and Aarav in the ratio 7 : 2. How much does Manav get (in ₹)?
  15. 15.Divide ₹399 between Kavya and Vivaan in the ratio 2 : 5. How much does Vivaan get (in ₹)?
  16. 16.Divide ₹100 between Nisha and Aarav in the ratio 1 : 3. How much does Aarav get (in ₹)?
  17. 17.4 : 3 = 12 : ?
  18. 18.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  19. 19.Divide ₹121 between Dev and Saanvi in the ratio 7 : 4. How much does Saanvi get (in ₹)?
  20. 20.Divide ₹105 between Manav and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  22. 22.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  23. 23.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  24. 24.Divide ₹180 between Manav and Meera in the ratio 1 : 3. How much does Meera get (in ₹)?
  25. 25.11 : 3 = 99 : ?
  26. 26.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  27. 27.Divide ₹225 between Priya and Vivaan in the ratio 7 : 8. How much does Vivaan get (in ₹)?
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.2 : 5 = 12 : ?
  30. 30.Divide ₹385 between Kavya and Ishaan in the ratio 8 : 3. How much does Kavya get (in ₹)?
  31. 31.8 : 11 = 48 : ?
  32. 32.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  33. 33.4 : 5 = 8 : ?
  34. 34.7 : 12 = 14 : ?
  35. 35.Divide ₹741 between Karan and Nisha in the ratio 9 : 4. How much does Nisha get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  37. 37.Divide ₹100 between Diya and Kabir in the ratio 4 : 1. How much does Kabir get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  40. 40.Divide ₹832 between Aditya and Nisha in the ratio 7 : 9. How much does Nisha get (in ₹)?

Answer key

  1. 195
  2. 56
  3. 126
  4. 108
  5. 24
  6. 8
  7. 8
  8. 40
  9. 16
  10. 8
  11. 7
  12. 36
  13. 100
  14. 168
  15. 285
  16. 75
  17. 9
  18. 64
  19. 44
  20. 42
  21. 28
  22. 27
  23. 100
  24. 135
  25. 27
  26. 54
  27. 120
  28. 96
  29. 30
  30. 280
  31. 66
  32. 6
  33. 10
  34. 24
  35. 228
  36. 24
  37. 20
  38. 8
  39. 12
  40. 468

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