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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 660 · 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 ₹391 between Manav and Diya in the ratio 9 : 8. How much does Diya get (in ₹)?
  2. 2.Divide ₹494 between Ishaan and Aarav in the ratio 7 : 6. How much does Aarav get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  4. 4.Divide ₹175 between Karan and Farhan in the ratio 4 : 1. How much does Karan get (in ₹)?
  5. 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  6. 6.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  7. 7.Divide ₹264 between Rahul and Pooja in the ratio 5 : 1. How much does Rahul get (in ₹)?
  8. 8.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  9. 9.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  11. 11.Divide ₹270 between Diya and Karan in the ratio 7 : 2. How much does Diya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  13. 13.10 : 5 = 40 : ?
  14. 14.Divide ₹690 between Ananya and Nisha in the ratio 8 : 7. How much does Nisha get (in ₹)?
  15. 15.6 : 12 = 18 : ?
  16. 16.9 : 3 = 54 : ?
  17. 17.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  18. 18.Divide ₹387 between Karan and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
  19. 19.3 : 2 = 21 : ?
  20. 20.5 : 7 = 25 : ?
  21. 21.Divide ₹80 between Aarav and Zoya in the ratio 7 : 9. How much does Zoya get (in ₹)?
  22. 22.5 : 13 = 25 : ?
  23. 23.12 : 4 = 72 : ?
  24. 24.12 : 7 = 24 : ?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  27. 27.12 : 4 = 24 : ?
  28. 28.Divide ₹363 between Dev and Meera in the ratio 4 : 7. How much does Meera get (in ₹)?
  29. 29.9 : 4 = 72 : ?
  30. 30.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  31. 31.11 : 4 = 99 : ?
  32. 32.Divide ₹54 between Saanvi and Kabir in the ratio 2 : 7. How much does Kabir get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  35. 35.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  36. 36.Divide ₹731 between Sneha and Dev in the ratio 9 : 8. How much does Dev get (in ₹)?
  37. 37.Divide ₹117 between Isha and Kavya in the ratio 5 : 4. How much does Isha get (in ₹)?
  38. 38.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  39. 39.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?

Answer key

  1. 184
  2. 228
  3. 45
  4. 140
  5. 200
  6. 32
  7. 220
  8. 54
  9. 14
  10. 3
  11. 210
  12. 4
  13. 20
  14. 322
  15. 36
  16. 18
  17. 25
  18. 301
  19. 14
  20. 35
  21. 45
  22. 65
  23. 24
  24. 14
  25. 18
  26. 90
  27. 8
  28. 231
  29. 32
  30. 4
  31. 36
  32. 42
  33. 10
  34. 15
  35. 80
  36. 344
  37. 65
  38. 12
  39. 8
  40. 36

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