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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 852 · 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 3 : 4. There are 9 boys. How many girls are there?
  2. 2.7 : 4 = 21 : ?
  3. 3.Divide ₹150 between Aarav and Ananya in the ratio 7 : 3. How much does Ananya get (in ₹)?
  4. 4.5 : 10 = 30 : ?
  5. 5.Divide ₹420 between Meera and Pooja in the ratio 7 : 5. How much does Pooja get (in ₹)?
  6. 6.Divide ₹238 between Rohan and Rahul in the ratio 1 : 6. How much does Rohan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
  8. 8.2 : 10 = 6 : ?
  9. 9.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
  11. 11.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  13. 13.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  14. 14.Divide ₹171 between Arjun and Manav in the ratio 2 : 1. How much does Manav get (in ₹)?
  15. 15.Divide ₹182 between Kavya and Rohan in the ratio 4 : 9. How much does Kavya get (in ₹)?
  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.Divide ₹108 between Farhan and Nisha in the ratio 5 : 7. How much does Farhan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
  19. 19.8 : 4 = 64 : ?
  20. 20.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
  21. 21.Divide ₹96 between Farhan and Dev in the ratio 3 : 1. How much does Farhan get (in ₹)?
  22. 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  23. 23.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  27. 27.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  28. 28.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  29. 29.Divide ₹192 between Nisha and Diya in the ratio 1 : 7. How much does Diya get (in ₹)?
  30. 30.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  31. 31.11 : 5 = 77 : ?
  32. 32.Divide ₹715 between Rohan and Meera in the ratio 4 : 9. How much does Rohan get (in ₹)?
  33. 33.6 : 2 = 42 : ?
  34. 34.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  35. 35.2 : 15 = 6 : ?
  36. 36.Divide ₹342 between Tara and Kabir in the ratio 1 : 8. How much does Kabir get (in ₹)?
  37. 37.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  38. 38.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  40. 40.Divide ₹140 between Ishaan and Karan in the ratio 6 : 1. How much does Karan get (in ₹)?

Answer key

  1. 12
  2. 12
  3. 45
  4. 60
  5. 175
  6. 34
  7. 15
  8. 30
  9. 36
  10. 6
  11. 32
  12. 12
  13. 144
  14. 57
  15. 56
  16. 6
  17. 45
  18. 64
  19. 32
  20. 32
  21. 72
  22. 54
  23. 36
  24. 30
  25. 6
  26. 15
  27. 50
  28. 80
  29. 168
  30. 112
  31. 35
  32. 220
  33. 14
  34. 63
  35. 45
  36. 304
  37. 8
  38. 63
  39. 48
  40. 20

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