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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 1 · 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 : 2. There are 36 boys. How many girls are there?
  2. 2.Divide ₹341 between Rahul and Sneha in the ratio 5 : 6. How much does Sneha get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  5. 5.10 : 12 = 50 : ?
  6. 6.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  8. 8.Divide ₹25 between Rahul and Saanvi in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  11. 11.Divide ₹147 between Manav and Meera in the ratio 6 : 1. How much does Manav get (in ₹)?
  12. 12.Divide ₹275 between Dev and Aarav in the ratio 2 : 3. How much does Aarav get (in ₹)?
  13. 13.3 : 10 = 6 : ?
  14. 14.12 : 2 = 84 : ?
  15. 15.Divide ₹672 between Aarav and Tara in the ratio 9 : 5. How much does Tara get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  18. 18.10 : 2 = 30 : ?
  19. 19.8 : 11 = 72 : ?
  20. 20.8 : 10 = 16 : ?
  21. 21.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  22. 22.Divide ₹208 between Pooja and Tara in the ratio 5 : 8. How much does Pooja get (in ₹)?
  23. 23.10 : 9 = 90 : ?
  24. 24.3 : 12 = 27 : ?
  25. 25.Divide ₹330 between Aarav and Kabir in the ratio 5 : 6. How much does Aarav get (in ₹)?
  26. 26.Divide ₹162 between Manav and Farhan in the ratio 1 : 8. How much does Manav get (in ₹)?
  27. 27.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  28. 28.3 : 6 = 24 : ?
  29. 29.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  30. 30.5 : 12 = 10 : ?
  31. 31.Divide ₹377 between Rahul and Nisha in the ratio 6 : 7. How much does Nisha get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  33. 33.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  34. 34.9 : 13 = 27 : ?
  35. 35.Divide ₹220 between Manav and Saanvi in the ratio 7 : 3. How much does Manav get (in ₹)?
  36. 36.Divide ₹598 between Zoya and Vivaan in the ratio 9 : 4. How much does Zoya get (in ₹)?
  37. 37.Divide ₹84 between Meera and Farhan in the ratio 5 : 7. How much does Meera get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  39. 39.Divide ₹217 between Meera and Diya in the ratio 3 : 4. How much does Diya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?

Answer key

  1. 8
  2. 186
  3. 32
  4. 5
  5. 60
  6. 20
  7. 64
  8. 5
  9. 100
  10. 12
  11. 126
  12. 165
  13. 20
  14. 14
  15. 240
  16. 36
  17. 15
  18. 6
  19. 99
  20. 20
  21. 24
  22. 80
  23. 81
  24. 108
  25. 150
  26. 18
  27. 8
  28. 48
  29. 12
  30. 24
  31. 203
  32. 21
  33. 150
  34. 39
  35. 154
  36. 414
  37. 35
  38. 5
  39. 124
  40. 6

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