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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 15 · 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 ₹33 between Saanvi and Kabir in the ratio 2 : 1. How much does Kabir get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  3. 3.11 : 12 = 88 : ?
  4. 4.12 : 13 = 108 : ?
  5. 5.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  6. 6.3 : 11 = 21 : ?
  7. 7.Divide ₹81 between Ananya and Arjun in the ratio 8 : 1. How much does Arjun get (in ₹)?
  8. 8.6 : 10 = 24 : ?
  9. 9.Divide ₹85 between Pooja and Isha in the ratio 9 : 8. How much does Isha get (in ₹)?
  10. 10.Divide ₹171 between Farhan and Nisha in the ratio 5 : 4. How much does Farhan get (in ₹)?
  11. 11.7 : 15 = 14 : ?
  12. 12.3 : 9 = 18 : ?
  13. 13.6 : 8 = 48 : ?
  14. 14.Divide ₹637 between Ananya and Manav in the ratio 6 : 7. How much does Ananya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  17. 17.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  18. 18.3 : 9 = 21 : ?
  19. 19.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  20. 20.Divide ₹324 between Karan and Priya in the ratio 2 : 7. How much does Priya get (in ₹)?
  21. 21.Divide ₹629 between Arjun and Aditya in the ratio 9 : 8. How much does Arjun get (in ₹)?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.The ratio of boys to girls in a class is 6 : 7. There are 24 boys. How many girls are there?
  24. 24.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  25. 25.Divide ₹140 between Kavya and Ananya in the ratio 2 : 3. How much does Ananya get (in ₹)?
  26. 26.8 : 2 = 56 : ?
  27. 27.Divide ₹235 between Vivaan and Zoya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  28. 28.9 : 2 = 72 : ?
  29. 29.Divide ₹416 between Tara and Rahul in the ratio 7 : 1. How much does Rahul get (in ₹)?
  30. 30.Divide ₹520 between Karan and Diya in the ratio 3 : 7. How much does Karan get (in ₹)?
  31. 31.Divide ₹162 between Arjun and Dev in the ratio 2 : 7. How much does Arjun get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  33. 33.9 : 2 = 81 : ?
  34. 34.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  35. 35.Divide ₹220 between Tara and Kavya in the ratio 2 : 3. How much does Tara get (in ₹)?
  36. 36.Divide ₹129 between Dev and Meera in the ratio 2 : 1. How much does Meera get (in ₹)?
  37. 37.Divide ₹270 between Vivaan and Sneha in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  38. 38.9 : 15 = 81 : ?
  39. 39.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 11
  2. 16
  3. 96
  4. 117
  5. 48
  6. 77
  7. 9
  8. 40
  9. 40
  10. 95
  11. 30
  12. 54
  13. 64
  14. 294
  15. 54
  16. 2
  17. 125
  18. 63
  19. 32
  20. 252
  21. 333
  22. 36
  23. 28
  24. 112
  25. 84
  26. 14
  27. 188
  28. 16
  29. 52
  30. 156
  31. 36
  32. 12
  33. 18
  34. 27
  35. 88
  36. 43
  37. 45
  38. 135
  39. 24
  40. 32

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