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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 402 · 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.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  6. 6.4 : 2 = 8 : ?
  7. 7.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  8. 8.Divide ₹329 between Aarav and Meera in the ratio 3 : 4. How much does Aarav get (in ₹)?
  9. 9.Divide ₹238 between Priya and Zoya in the ratio 8 : 9. How much does Priya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  11. 11.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  12. 12.Divide ₹392 between Meera and Pooja in the ratio 3 : 5. How much does Meera get (in ₹)?
  13. 13.4 : 2 = 36 : ?
  14. 14.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  17. 17.7 : 6 = 28 : ?
  18. 18.Divide ₹64 between Aditya and Ishaan in the ratio 3 : 1. How much does Ishaan get (in ₹)?
  19. 19.Divide ₹413 between Kabir and Manav in the ratio 6 : 1. How much does Manav get (in ₹)?
  20. 20.12 : 11 = 108 : ?
  21. 21.12 : 15 = 24 : ?
  22. 22.Divide ₹615 between Manav and Nisha in the ratio 7 : 8. How much does Nisha get (in ₹)?
  23. 23.7 : 12 = 42 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  25. 25.Divide ₹494 between Pooja and Farhan in the ratio 6 : 7. How much does Pooja get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  27. 27.11 : 9 = 44 : ?
  28. 28.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  29. 29.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  30. 30.8 : 7 = 56 : ?
  31. 31.10 : 12 = 30 : ?
  32. 32.Divide ₹304 between Isha and Aarav in the ratio 7 : 1. How much does Isha get (in ₹)?
  33. 33.Divide ₹154 between Karan and Farhan in the ratio 3 : 4. How much does Karan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  35. 35.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  36. 36.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  38. 38.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  39. 39.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  40. 40.Divide ₹156 between Kavya and Nisha in the ratio 8 : 5. How much does Kavya get (in ₹)?

Answer key

  1. 7
  2. 4
  3. 14
  4. 10
  5. 12
  6. 4
  7. 63
  8. 141
  9. 112
  10. 21
  11. 36
  12. 147
  13. 18
  14. 28
  15. 56
  16. 6
  17. 24
  18. 16
  19. 59
  20. 99
  21. 30
  22. 328
  23. 72
  24. 50
  25. 228
  26. 16
  27. 36
  28. 200
  29. 35
  30. 49
  31. 36
  32. 266
  33. 66
  34. 20
  35. 144
  36. 18
  37. 12
  38. 96
  39. 125
  40. 96

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