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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 650 · 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. 1.5 : 2 = 30 : ?
  2. 2.3 : 8 = 21 : ?
  3. 3.Divide ₹550 between Aditya and Manav in the ratio 8 : 3. How much does Aditya get (in ₹)?
  4. 4.9 : 12 = 27 : ?
  5. 5.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  6. 6.10 : 9 = 30 : ?
  7. 7.Divide ₹204 between Aarav and Aditya in the ratio 7 : 5. How much does Aditya get (in ₹)?
  8. 8.Divide ₹176 between Ishaan and Arjun in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
  11. 11.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  12. 12.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.6 : 11 = 48 : ?
  15. 15.5 : 11 = 20 : ?
  16. 16.Divide ₹221 between Nisha and Diya in the ratio 7 : 6. How much does Nisha get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
  18. 18.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  19. 19.Divide ₹377 between Kavya and Vivaan in the ratio 7 : 6. How much does Kavya get (in ₹)?
  20. 20.Divide ₹325 between Ananya and Saanvi in the ratio 6 : 7. How much does Ananya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  22. 22.Divide ₹180 between Meera and Kabir in the ratio 3 : 1. How much does Kabir get (in ₹)?
  23. 23.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  24. 24.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  25. 25.Divide ₹270 between Rahul and Ishaan in the ratio 7 : 3. How much does Rahul get (in ₹)?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  29. 29.Divide ₹15 between Aarav and Kabir in the ratio 2 : 1. How much does Aarav get (in ₹)?
  30. 30.Divide ₹690 between Tara and Kabir in the ratio 8 : 7. How much does Kabir get (in ₹)?
  31. 31.2 : 8 = 12 : ?
  32. 32.Divide ₹39 between Manav and Vivaan in the ratio 1 : 2. How much does Vivaan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  34. 34.6 : 13 = 42 : ?
  35. 35.Divide ₹650 between Nisha and Tara in the ratio 9 : 4. How much does Tara get (in ₹)?
  36. 36.Divide ₹637 between Aarav and Karan in the ratio 6 : 7. How much does Aarav get (in ₹)?
  37. 37.10 : 8 = 90 : ?
  38. 38.Divide ₹472 between Meera and Nisha in the ratio 7 : 1. How much does Meera get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  40. 40.9 : 12 = 63 : ?

Answer key

  1. 12
  2. 56
  3. 400
  4. 36
  5. 112
  6. 27
  7. 85
  8. 99
  9. 5
  10. 12
  11. 27
  12. 8
  13. 50
  14. 88
  15. 44
  16. 119
  17. 9
  18. 150
  19. 203
  20. 150
  21. 12
  22. 45
  23. 24
  24. 3
  25. 189
  26. 175
  27. 3
  28. 40
  29. 10
  30. 322
  31. 48
  32. 26
  33. 9
  34. 91
  35. 200
  36. 294
  37. 72
  38. 413
  39. 7
  40. 84

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