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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 556 · 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. 1.6 : 10 = 36 : ?
  2. 2.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  3. 3.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  4. 4.Divide ₹294 between Nisha and Kabir in the ratio 5 : 9. How much does Nisha get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  6. 6.10 : 12 = 70 : ?
  7. 7.4 : 13 = 36 : ?
  8. 8.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  9. 9.Divide ₹728 between Manav and Arjun in the ratio 7 : 6. How much does Arjun get (in ₹)?
  10. 10.10 : 5 = 60 : ?
  11. 11.Divide ₹189 between Ishaan and Isha in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  12. 12.Divide ₹120 between Meera and Aditya in the ratio 4 : 1. How much does Meera get (in ₹)?
  13. 13.9 : 8 = 27 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  15. 15.12 : 2 = 24 : ?
  16. 16.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  17. 17.5 : 2 = 20 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  20. 20.Divide ₹399 between Nisha and Ananya in the ratio 6 : 1. How much does Ananya get (in ₹)?
  21. 21.Divide ₹156 between Rahul and Arjun in the ratio 5 : 8. How much does Arjun get (in ₹)?
  22. 22.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  23. 23.7 : 15 = 56 : ?
  24. 24.Divide ₹1003 between Diya and Dev in the ratio 8 : 9. How much does Diya get (in ₹)?
  25. 25.11 : 4 = 22 : ?
  26. 26.9 : 5 = 45 : ?
  27. 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  28. 28.Divide ₹165 between Ishaan and Priya in the ratio 8 : 3. How much does Ishaan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  30. 30.Divide ₹516 between Aarav and Meera in the ratio 7 : 5. How much does Aarav get (in ₹)?
  31. 31.Divide ₹276 between Ishaan and Diya in the ratio 7 : 5. How much does Ishaan get (in ₹)?
  32. 32.Divide ₹270 between Ananya and Vivaan in the ratio 4 : 5. How much does Vivaan get (in ₹)?
  33. 33.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  34. 34.Divide ₹387 between Karan and Aditya in the ratio 8 : 1. How much does Aditya get (in ₹)?
  35. 35.7 : 14 = 21 : ?
  36. 36.Divide ₹187 between Saanvi and Rahul in the ratio 8 : 9. How much does Rahul get (in ₹)?
  37. 37.Divide ₹324 between Arjun and Meera in the ratio 4 : 5. How much does Arjun get (in ₹)?
  38. 38.7 : 9 = 42 : ?
  39. 39.Divide ₹253 between Aarav and Nisha in the ratio 3 : 8. How much does Aarav get (in ₹)?
  40. 40.Divide ₹288 between Sneha and Rohan in the ratio 3 : 5. How much does Rohan get (in ₹)?

Answer key

  1. 60
  2. 60
  3. 12
  4. 105
  5. 9
  6. 84
  7. 117
  8. 7
  9. 336
  10. 30
  11. 162
  12. 96
  13. 24
  14. 9
  15. 4
  16. 4
  17. 8
  18. 20
  19. 18
  20. 57
  21. 96
  22. 48
  23. 120
  24. 472
  25. 8
  26. 25
  27. 45
  28. 120
  29. 36
  30. 301
  31. 161
  32. 150
  33. 24
  34. 43
  35. 42
  36. 99
  37. 144
  38. 54
  39. 69
  40. 180

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