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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 334 · 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.Divide ₹60 between Aarav and Pooja in the ratio 1 : 9. How much does Pooja get (in ₹)?
  2. 2.12 : 13 = 60 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  5. 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  6. 6.12 : 9 = 60 : ?
  7. 7.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  8. 8.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.Divide ₹352 between Tara and Isha in the ratio 6 : 5. How much does Isha get (in ₹)?
  11. 11.Divide ₹416 between Vivaan and Diya in the ratio 9 : 7. How much does Vivaan get (in ₹)?
  12. 12.11 : 13 = 77 : ?
  13. 13.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  14. 14.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  15. 15.Divide ₹935 between Kavya and Diya in the ratio 9 : 8. How much does Diya get (in ₹)?
  16. 16.Divide ₹156 between Meera and Arjun in the ratio 7 : 6. How much does Meera get (in ₹)?
  17. 17.Divide ₹385 between Vivaan and Manav in the ratio 6 : 5. How much does Vivaan get (in ₹)?
  18. 18.Divide ₹154 between Tara and Nisha in the ratio 4 : 3. How much does Nisha get (in ₹)?
  19. 19.Divide ₹360 between Arjun and Farhan in the ratio 1 : 8. How much does Arjun get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.Divide ₹507 between Manav and Vivaan in the ratio 4 : 9. How much does Manav get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
  24. 24.6 : 13 = 24 : ?
  25. 25.10 : 8 = 90 : ?
  26. 26.9 : 2 = 27 : ?
  27. 27.12 : 6 = 72 : ?
  28. 28.4 : 15 = 36 : ?
  29. 29.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  30. 30.Divide ₹375 between Manav and Aditya in the ratio 8 : 7. How much does Manav get (in ₹)?
  31. 31.Divide ₹636 between Dev and Aditya in the ratio 7 : 5. How much does Aditya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  33. 33.3 : 7 = 9 : ?
  34. 34.Divide ₹350 between Diya and Kabir in the ratio 1 : 9. How much does Kabir get (in ₹)?
  35. 35.Divide ₹234 between Pooja and Zoya in the ratio 7 : 2. How much does Zoya get (in ₹)?
  36. 36.Divide ₹867 between Pooja and Nisha in the ratio 9 : 8. How much does Pooja get (in ₹)?
  37. 37.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  38. 38.7 : 11 = 21 : ?
  39. 39.4 : 2 = 32 : ?
  40. 40.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?

Answer key

  1. 54
  2. 65
  3. 63
  4. 3
  5. 36
  6. 45
  7. 72
  8. 28
  9. 100
  10. 160
  11. 234
  12. 91
  13. 175
  14. 35
  15. 440
  16. 84
  17. 210
  18. 66
  19. 40
  20. 45
  21. 63
  22. 156
  23. 32
  24. 52
  25. 72
  26. 6
  27. 36
  28. 135
  29. 24
  30. 200
  31. 265
  32. 10
  33. 21
  34. 315
  35. 52
  36. 459
  37. 112
  38. 33
  39. 16
  40. 56

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