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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 275 · 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.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  2. 2.9 : 2 = 63 : ?
  3. 3.11 : 14 = 44 : ?
  4. 4.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  5. 5.Divide ₹560 between Aditya and Vivaan in the ratio 9 : 5. How much does Vivaan get (in ₹)?
  6. 6.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  8. 8.Divide ₹180 between Isha and Nisha in the ratio 2 : 1. How much does Nisha get (in ₹)?
  9. 9.Divide ₹243 between Saanvi and Diya in the ratio 8 : 1. How much does Diya get (in ₹)?
  10. 10.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  11. 11.9 : 4 = 18 : ?
  12. 12.Divide ₹210 between Ananya and Ishaan in the ratio 1 : 9. How much does Ananya get (in ₹)?
  13. 13.8 : 9 = 32 : ?
  14. 14.10 : 14 = 30 : ?
  15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 2 : 9. There are 16 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  20. 20.5 : 13 = 30 : ?
  21. 21.Divide ₹385 between Ananya and Rahul in the ratio 6 : 5. How much does Rahul get (in ₹)?
  22. 22.Divide ₹364 between Farhan and Tara in the ratio 6 : 1. How much does Farhan get (in ₹)?
  23. 23.Divide ₹473 between Manav and Isha in the ratio 6 : 5. How much does Manav get (in ₹)?
  24. 24.8 : 3 = 16 : ?
  25. 25.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  27. 27.Divide ₹260 between Zoya and Ishaan in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.Divide ₹140 between Vivaan and Dev in the ratio 4 : 1. How much does Vivaan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  34. 34.Divide ₹322 between Vivaan and Arjun in the ratio 3 : 4. How much does Arjun get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  36. 36.Divide ₹156 between Arjun and Kabir in the ratio 7 : 6. How much does Kabir get (in ₹)?
  37. 37.3 : 12 = 12 : ?
  38. 38.4 : 11 = 36 : ?
  39. 39.Divide ₹144 between Pooja and Diya in the ratio 2 : 1. How much does Pooja get (in ₹)?
  40. 40.3 : 10 = 15 : ?

Answer key

  1. 40
  2. 14
  3. 56
  4. 10
  5. 200
  6. 16
  7. 225
  8. 60
  9. 27
  10. 36
  11. 8
  12. 21
  13. 36
  14. 42
  15. 75
  16. 12
  17. 32
  18. 72
  19. 64
  20. 78
  21. 175
  22. 312
  23. 258
  24. 6
  25. 16
  26. 15
  27. 160
  28. 63
  29. 50
  30. 63
  31. 112
  32. 2
  33. 72
  34. 184
  35. 10
  36. 72
  37. 48
  38. 99
  39. 96
  40. 50

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