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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 99 · 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).

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  1. 1.Divide ₹180 between Saanvi and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
  2. 2.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  3. 3.Divide ₹312 between Manav and Tara in the ratio 3 : 5. How much does Manav get (in ₹)?
  4. 4.Divide ₹294 between Pooja and Arjun in the ratio 4 : 3. How much does Pooja get (in ₹)?
  5. 5.2 : 13 = 14 : ?
  6. 6.11 : 12 = 44 : ?
  7. 7.12 : 15 = 36 : ?
  8. 8.Divide ₹126 between Isha and Vivaan in the ratio 5 : 1. How much does Isha get (in ₹)?
  9. 9.12 : 14 = 96 : ?
  10. 10.Divide ₹252 between Tara and Karan in the ratio 4 : 5. How much does Karan get (in ₹)?
  11. 11.Divide ₹297 between Ishaan and Pooja in the ratio 7 : 4. How much does Ishaan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  14. 14.3 : 8 = 24 : ?
  15. 15.10 : 11 = 30 : ?
  16. 16.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  17. 17.Divide ₹616 between Kavya and Meera in the ratio 5 : 9. How much does Kavya get (in ₹)?
  18. 18.Divide ₹54 between Karan and Manav in the ratio 5 : 4. How much does Manav get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  22. 22.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  23. 23.Divide ₹550 between Dev and Saanvi in the ratio 2 : 9. How much does Dev get (in ₹)?
  24. 24.6 : 14 = 30 : ?
  25. 25.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  26. 26.Divide ₹220 between Arjun and Ishaan in the ratio 6 : 5. How much does Arjun get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  28. 28.4 : 3 = 20 : ?
  29. 29.Divide ₹310 between Arjun and Ananya in the ratio 7 : 3. How much does Arjun get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  31. 31.9 : 3 = 72 : ?
  32. 32.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  33. 33.Divide ₹378 between Pooja and Aarav in the ratio 2 : 5. How much does Pooja get (in ₹)?
  34. 34.Divide ₹55 between Kabir and Nisha in the ratio 9 : 2. How much does Kabir get (in ₹)?
  35. 35.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  36. 36.2 : 12 = 12 : ?
  37. 37.3 : 8 = 15 : ?
  38. 38.Divide ₹484 between Kabir and Aarav in the ratio 3 : 8. How much does Aarav get (in ₹)?
  39. 39.Divide ₹660 between Aarav and Zoya in the ratio 3 : 8. How much does Zoya get (in ₹)?
  40. 40.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).

Answer key

  1. 18
  2. 12
  3. 117
  4. 168
  5. 91
  6. 48
  7. 45
  8. 105
  9. 112
  10. 140
  11. 189
  12. 6
  13. 24
  14. 64
  15. 33
  16. 24
  17. 220
  18. 24
  19. 27
  20. 3
  21. 36
  22. 175
  23. 100
  24. 70
  25. 15
  26. 120
  27. 18
  28. 15
  29. 217
  30. 28
  31. 24
  32. 25
  33. 108
  34. 45
  35. 45
  36. 72
  37. 40
  38. 352
  39. 480
  40. 63

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