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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 784 · 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 ₹572 between Manav and Farhan in the ratio 9 : 4. How much does Farhan get (in ₹)?
  2. 2.8 : 10 = 32 : ?
  3. 3.Divide ₹200 between Kavya and Arjun in the ratio 3 : 1. How much does Kavya get (in ₹)?
  4. 4.Divide ₹480 between Ishaan and Sneha in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  6. 6.8 : 4 = 56 : ?
  7. 7.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  8. 8.Divide ₹390 between Arjun and Karan in the ratio 7 : 3. How much does Arjun get (in ₹)?
  9. 9.Divide ₹236 between Dev and Tara in the ratio 3 : 1. How much does Dev get (in ₹)?
  10. 10.Divide ₹390 between Saanvi and Karan in the ratio 1 : 9. How much does Saanvi get (in ₹)?
  11. 11.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  12. 12.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  13. 13.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  14. 14.8 : 15 = 40 : ?
  15. 15.2 : 15 = 6 : ?
  16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  17. 17.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  18. 18.Divide ₹294 between Pooja and Aarav in the ratio 3 : 4. How much does Pooja get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  20. 20.Divide ₹378 between Diya and Aarav in the ratio 5 : 2. How much does Diya get (in ₹)?
  21. 21.Divide ₹234 between Tara and Arjun in the ratio 4 : 9. How much does Tara get (in ₹)?
  22. 22.Divide ₹208 between Pooja and Farhan in the ratio 3 : 5. How much does Farhan get (in ₹)?
  23. 23.Divide ₹660 between Saanvi and Aarav in the ratio 6 : 5. How much does Aarav get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
  27. 27.Divide ₹33 between Karan and Isha in the ratio 1 : 2. How much does Isha get (in ₹)?
  28. 28.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  29. 29.10 : 12 = 50 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  31. 31.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  32. 32.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  33. 33.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  34. 34.Divide ₹408 between Dev and Aarav in the ratio 9 : 8. How much does Aarav get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  36. 36.Divide ₹504 between Karan and Rohan in the ratio 7 : 2. How much does Karan get (in ₹)?
  37. 37.Divide ₹649 between Saanvi and Ishaan in the ratio 7 : 4. How much does Ishaan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 8. There are 49 boys. How many girls are there?
  39. 39.7 : 3 = 28 : ?
  40. 40.Divide ₹221 between Kabir and Isha in the ratio 8 : 5. How much does Isha get (in ₹)?

Answer key

  1. 176
  2. 40
  3. 150
  4. 270
  5. 64
  6. 28
  7. 16
  8. 273
  9. 177
  10. 39
  11. 80
  12. 63
  13. 32
  14. 75
  15. 45
  16. 100
  17. 28
  18. 126
  19. 28
  20. 270
  21. 72
  22. 130
  23. 300
  24. 7
  25. 28
  26. 10
  27. 22
  28. 54
  29. 60
  30. 16
  31. 150
  32. 96
  33. 6
  34. 192
  35. 2
  36. 392
  37. 236
  38. 56
  39. 12
  40. 85

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