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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 751 · 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 4 : 7. There are 12 boys. How many girls are there?
  2. 2.Divide ₹550 between Aarav and Karan in the ratio 7 : 3. How much does Karan get (in ₹)?
  3. 3.5 : 12 = 30 : ?
  4. 4.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  5. 5.6 : 5 = 12 : ?
  6. 6.9 : 4 = 54 : ?
  7. 7.6 : 10 = 30 : ?
  8. 8.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  9. 9.5 : 11 = 15 : ?
  10. 10.Divide ₹49 between Ananya and Rohan in the ratio 3 : 4. How much does Ananya get (in ₹)?
  11. 11.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  13. 13.Divide ₹275 between Aarav and Ishaan in the ratio 2 : 3. How much does Aarav get (in ₹)?
  14. 14.Divide ₹546 between Kavya and Manav in the ratio 9 : 5. How much does Kavya get (in ₹)?
  15. 15.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  16. 16.Divide ₹70 between Manav and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  17. 17.Divide ₹35 between Zoya and Manav in the ratio 4 : 1. How much does Manav get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  19. 19.Divide ₹138 between Priya and Meera in the ratio 1 : 2. How much does Meera get (in ₹)?
  20. 20.2 : 6 = 6 : ?
  21. 21.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  22. 22.Divide ₹180 between Aarav and Diya in the ratio 5 : 4. How much does Aarav get (in ₹)?
  23. 23.Divide ₹420 between Aarav and Diya in the ratio 3 : 4. How much does Diya get (in ₹)?
  24. 24.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  25. 25.3 : 11 = 15 : ?
  26. 26.Divide ₹195 between Arjun and Manav in the ratio 7 : 6. How much does Manav get (in ₹)?
  27. 27.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  28. 28.7 : 3 = 56 : ?
  29. 29.Divide ₹240 between Rahul and Ishaan in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  30. 30.9 : 11 = 63 : ?
  31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  32. 32.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  33. 33.Divide ₹78 between Rahul and Arjun in the ratio 6 : 7. How much does Arjun get (in ₹)?
  34. 34.Divide ₹550 between Pooja and Diya in the ratio 3 : 7. How much does Pooja get (in ₹)?
  35. 35.Divide ₹99 between Meera and Arjun in the ratio 7 : 2. How much does Arjun get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  38. 38.4 : 5 = 8 : ?
  39. 39.Divide ₹352 between Diya and Kavya in the ratio 3 : 5. How much does Kavya get (in ₹)?
  40. 40.4 : 11 = 16 : ?

Answer key

  1. 21
  2. 165
  3. 72
  4. 35
  5. 10
  6. 24
  7. 50
  8. 16
  9. 33
  10. 21
  11. 128
  12. 30
  13. 110
  14. 351
  15. 100
  16. 28
  17. 7
  18. 16
  19. 92
  20. 18
  21. 75
  22. 100
  23. 240
  24. 175
  25. 55
  26. 90
  27. 80
  28. 24
  29. 96
  30. 77
  31. 8
  32. 30
  33. 42
  34. 165
  35. 22
  36. 16
  37. 4
  38. 10
  39. 220
  40. 44

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