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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 542 · 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.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  2. 2.3 : 5 = 21 : ?
  3. 3.Divide ₹308 between Priya and Meera in the ratio 7 : 4. How much does Priya get (in ₹)?
  4. 4.Divide ₹130 between Dev and Priya in the ratio 1 : 9. How much does Dev get (in ₹)?
  5. 5.4 : 14 = 20 : ?
  6. 6.Divide ₹396 between Tara and Manav in the ratio 5 : 6. How much does Tara get (in ₹)?
  7. 7.Divide ₹90 between Ananya and Rahul in the ratio 1 : 9. How much does Ananya get (in ₹)?
  8. 8.Divide ₹259 between Aarav and Ananya in the ratio 3 : 4. How much does Ananya get (in ₹)?
  9. 9.11 : 2 = 88 : ?
  10. 10.Divide ₹84 between Rahul and Farhan in the ratio 3 : 1. How much does Rahul get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  12. 12.Divide ₹675 between Aditya and Kabir in the ratio 7 : 8. How much does Aditya get (in ₹)?
  13. 13.Divide ₹420 between Kabir and Arjun in the ratio 2 : 5. How much does Kabir get (in ₹)?
  14. 14.Divide ₹165 between Ananya and Dev in the ratio 2 : 3. How much does Ananya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  16. 16.8 : 2 = 16 : ?
  17. 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  18. 18.Divide ₹376 between Aarav and Pooja in the ratio 3 : 5. How much does Pooja get (in ₹)?
  19. 19.Divide ₹44 between Meera and Manav in the ratio 3 : 1. How much does Manav get (in ₹)?
  20. 20.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  21. 21.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  22. 22.2 : 13 = 8 : ?
  23. 23.Divide ₹444 between Arjun and Dev in the ratio 5 : 7. How much does Dev get (in ₹)?
  24. 24.Divide ₹495 between Rahul and Rohan in the ratio 4 : 5. How much does Rahul get (in ₹)?
  25. 25.8 : 4 = 32 : ?
  26. 26.4 : 15 = 12 : ?
  27. 27.Divide ₹91 between Kabir and Kavya in the ratio 9 : 4. How much does Kabir get (in ₹)?
  28. 28.Divide ₹30 between Meera and Tara in the ratio 5 : 1. How much does Tara get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.Divide ₹540 between Kavya and Isha in the ratio 8 : 7. How much does Isha get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  36. 36.5 : 7 = 40 : ?
  37. 37.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  38. 38.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
  39. 39.Divide ₹440 between Farhan and Diya in the ratio 3 : 8. How much does Farhan get (in ₹)?
  40. 40.Divide ₹208 between Tara and Manav in the ratio 8 : 5. How much does Manav get (in ₹)?

Answer key

  1. 10
  2. 35
  3. 196
  4. 13
  5. 70
  6. 180
  7. 9
  8. 148
  9. 16
  10. 63
  11. 28
  12. 315
  13. 120
  14. 66
  15. 70
  16. 4
  17. 48
  18. 235
  19. 11
  20. 144
  21. 32
  22. 52
  23. 259
  24. 220
  25. 16
  26. 45
  27. 63
  28. 5
  29. 45
  30. 28
  31. 20
  32. 18
  33. 252
  34. 6
  35. 8
  36. 56
  37. 150
  38. 35
  39. 120
  40. 80

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