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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 699 · 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.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  2. 2.Divide ₹207 between Pooja and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  3. 3.7 : 9 = 14 : ?
  4. 4.Divide ₹50 between Tara and Karan in the ratio 2 : 3. How much does Tara get (in ₹)?
  5. 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  6. 6.Divide ₹441 between Ishaan and Ananya in the ratio 4 : 5. How much does Ananya get (in ₹)?
  7. 7.4 : 10 = 12 : ?
  8. 8.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  9. 9.Divide ₹275 between Kabir and Arjun in the ratio 2 : 9. How much does Kabir get (in ₹)?
  10. 10.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  11. 11.3 : 10 = 24 : ?
  12. 12.11 : 2 = 55 : ?
  13. 13.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  14. 14.Divide ₹245 between Pooja and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  15. 15.Divide ₹153 between Pooja and Aarav in the ratio 7 : 2. How much does Aarav get (in ₹)?
  16. 16.4 : 2 = 20 : ?
  17. 17.7 : 11 = 28 : ?
  18. 18.12 : 9 = 60 : ?
  19. 19.Divide ₹168 between Dev and Tara in the ratio 1 : 3. How much does Tara get (in ₹)?
  20. 20.Divide ₹504 between Ananya and Meera in the ratio 4 : 5. How much does Ananya get (in ₹)?
  21. 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  22. 22.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  23. 23.2 : 11 = 10 : ?
  24. 24.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  25. 25.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  26. 26.Divide ₹385 between Zoya and Meera in the ratio 2 : 9. How much does Meera get (in ₹)?
  27. 27.Divide ₹120 between Farhan and Kabir in the ratio 5 : 1. How much does Kabir get (in ₹)?
  28. 28.Divide ₹55 between Ananya and Meera in the ratio 7 : 4. How much does Ananya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  30. 30.Divide ₹220 between Dev and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  33. 33.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  34. 34.Divide ₹612 between Saanvi and Nisha in the ratio 8 : 9. How much does Saanvi get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  36. 36.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  37. 37.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  38. 38.Divide ₹741 between Manav and Ananya in the ratio 8 : 5. How much does Ananya get (in ₹)?
  39. 39.Divide ₹539 between Isha and Arjun in the ratio 5 : 6. How much does Arjun get (in ₹)?
  40. 40.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).

Answer key

  1. 15
  2. 184
  3. 18
  4. 20
  5. 48
  6. 245
  7. 30
  8. 63
  9. 50
  10. 36
  11. 80
  12. 10
  13. 14
  14. 35
  15. 34
  16. 10
  17. 44
  18. 45
  19. 126
  20. 224
  21. 175
  22. 30
  23. 55
  24. 6
  25. 96
  26. 315
  27. 20
  28. 35
  29. 64
  30. 154
  31. 72
  32. 16
  33. 75
  34. 288
  35. 35
  36. 8
  37. 125
  38. 285
  39. 294
  40. 200

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