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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 252 · 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 : 7. There are 72 boys. How many girls are there?
  2. 2.Divide ₹294 between Diya and Kabir in the ratio 1 : 5. How much does Diya get (in ₹)?
  3. 3.Divide ₹63 between Meera and Kabir in the ratio 5 : 2. How much does Meera get (in ₹)?
  4. 4.Divide ₹198 between Meera and Pooja in the ratio 9 : 2. How much does Meera get (in ₹)?
  5. 5.3 : 10 = 27 : ?
  6. 6.12 : 14 = 108 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  8. 8.9 : 8 = 36 : ?
  9. 9.7 : 12 = 14 : ?
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  13. 13.Divide ₹176 between Kabir and Isha in the ratio 5 : 3. How much does Isha get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  16. 16.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  17. 17.12 : 7 = 72 : ?
  18. 18.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  19. 19.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  21. 21.5 : 13 = 20 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  24. 24.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  25. 25.Divide ₹56 between Manav and Aarav in the ratio 5 : 3. How much does Manav get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  29. 29.Divide ₹216 between Saanvi and Aarav in the ratio 7 : 2. How much does Aarav get (in ₹)?
  30. 30.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  31. 31.Divide ₹689 between Kavya and Isha in the ratio 6 : 7. How much does Kavya get (in ₹)?
  32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  33. 33.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  34. 34.Divide ₹275 between Isha and Zoya in the ratio 1 : 4. How much does Isha get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  36. 36.Divide ₹323 between Rahul and Vivaan in the ratio 9 : 8. How much does Vivaan get (in ₹)?
  37. 37.Divide ₹195 between Tara and Vivaan in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  39. 39.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 56
  2. 49
  3. 45
  4. 162
  5. 90
  6. 126
  7. 7
  8. 32
  9. 24
  10. 18
  11. 15
  12. 18
  13. 66
  14. 48
  15. 16
  16. 125
  17. 42
  18. 100
  19. 16
  20. 2
  21. 52
  22. 15
  23. 9
  24. 20
  25. 35
  26. 20
  27. 63
  28. 36
  29. 48
  30. 54
  31. 318
  32. 80
  33. 25
  34. 55
  35. 16
  36. 152
  37. 90
  38. 8
  39. 175
  40. 32

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