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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 463 · 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 ₹140 between Meera and Tara in the ratio 1 : 3. How much does Meera get (in ₹)?
  2. 2.12 : 3 = 72 : ?
  3. 3.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  4. 4.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  6. 6.Divide ₹329 between Saanvi and Aarav in the ratio 2 : 5. How much does Aarav get (in ₹)?
  7. 7.Divide ₹322 between Ananya and Kabir in the ratio 3 : 4. How much does Ananya get (in ₹)?
  8. 8.Divide ₹513 between Diya and Kabir in the ratio 2 : 7. How much does Diya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.3 : 10 = 12 : ?
  12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  13. 13.Divide ₹290 between Ishaan and Saanvi in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  14. 14.Divide ₹539 between Ananya and Meera in the ratio 6 : 5. How much does Meera get (in ₹)?
  15. 15.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  16. 16.Divide ₹126 between Dev and Sneha in the ratio 5 : 4. How much does Sneha get (in ₹)?
  17. 17.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
  19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  20. 20.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  21. 21.Divide ₹290 between Vivaan and Diya in the ratio 1 : 4. How much does Vivaan get (in ₹)?
  22. 22.4 : 10 = 28 : ?
  23. 23.8 : 3 = 24 : ?
  24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  25. 25.Divide ₹90 between Arjun and Priya in the ratio 9 : 1. How much does Priya get (in ₹)?
  26. 26.Divide ₹176 between Karan and Priya in the ratio 7 : 1. How much does Karan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  28. 28.Divide ₹280 between Ananya and Manav in the ratio 1 : 4. How much does Manav get (in ₹)?
  29. 29.Divide ₹170 between Manav and Diya in the ratio 1 : 9. How much does Diya get (in ₹)?
  30. 30.Divide ₹144 between Farhan and Nisha in the ratio 8 : 1. How much does Farhan get (in ₹)?
  31. 31.10 : 2 = 60 : ?
  32. 32.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  33. 33.Divide ₹572 between Diya and Farhan in the ratio 5 : 6. How much does Farhan get (in ₹)?
  34. 34.11 : 8 = 44 : ?
  35. 35.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  36. 36.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  37. 37.9 : 8 = 81 : ?
  38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  40. 40.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).

Answer key

  1. 35
  2. 18
  3. 32
  4. 15
  5. 32
  6. 235
  7. 138
  8. 114
  9. 40
  10. 36
  11. 40
  12. 12
  13. 29
  14. 245
  15. 48
  16. 56
  17. 112
  18. 12
  19. 20
  20. 81
  21. 58
  22. 70
  23. 9
  24. 16
  25. 9
  26. 154
  27. 3
  28. 224
  29. 153
  30. 128
  31. 12
  32. 28
  33. 312
  34. 32
  35. 80
  36. 10
  37. 72
  38. 225
  39. 50
  40. 64

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