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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 66 · 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 1 : 2. There are 7 boys. How many girls are there?
  2. 2.Divide ₹240 between Aarav and Vivaan in the ratio 7 : 9. How much does Aarav get (in ₹)?
  3. 3.4 : 2 = 36 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  5. 5.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  6. 6.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
  7. 7.Divide ₹840 between Saanvi and Tara in the ratio 9 : 5. How much does Saanvi get (in ₹)?
  8. 8.2 : 5 = 4 : ?
  9. 9.10 : 13 = 60 : ?
  10. 10.Divide ₹98 between Diya and Ananya in the ratio 1 : 6. How much does Ananya get (in ₹)?
  11. 11.Divide ₹235 between Manav and Farhan in the ratio 3 : 2. How much does Farhan get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  13. 13.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  14. 14.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  15. 15.Divide ₹266 between Vivaan and Arjun in the ratio 9 : 5. How much does Vivaan get (in ₹)?
  16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  17. 17.Divide ₹200 between Ishaan and Isha in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  18. 18.Divide ₹318 between Kabir and Karan in the ratio 1 : 5. How much does Karan get (in ₹)?
  19. 19.Divide ₹351 between Isha and Aarav in the ratio 8 : 1. How much does Isha get (in ₹)?
  20. 20.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  21. 21.10 : 9 = 60 : ?
  22. 22.Divide ₹468 between Ananya and Pooja in the ratio 4 : 9. How much does Pooja get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
  24. 24.Divide ₹986 between Aarav and Ananya in the ratio 8 : 9. How much does Aarav get (in ₹)?
  25. 25.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  26. 26.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  28. 28.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  29. 29.7 : 6 = 42 : ?
  30. 30.9 : 10 = 54 : ?
  31. 31.Divide ₹319 between Aarav and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
  32. 32.Divide ₹288 between Tara and Ananya in the ratio 5 : 7. How much does Tara get (in ₹)?
  33. 33.Divide ₹150 between Dev and Diya in the ratio 5 : 1. How much does Dev get (in ₹)?
  34. 34.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  35. 35.Divide ₹176 between Diya and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  36. 36.7 : 11 = 14 : ?
  37. 37.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  38. 38.3 : 4 = 9 : ?
  39. 39.Divide ₹224 between Sneha and Ishaan in the ratio 6 : 1. How much does Ishaan get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?

Answer key

  1. 14
  2. 105
  3. 18
  4. 15
  5. 75
  6. 10
  7. 540
  8. 10
  9. 78
  10. 84
  11. 94
  12. 8
  13. 32
  14. 48
  15. 171
  16. 8
  17. 20
  18. 265
  19. 312
  20. 80
  21. 54
  22. 324
  23. 40
  24. 464
  25. 125
  26. 72
  27. 32
  28. 24
  29. 36
  30. 60
  31. 261
  32. 120
  33. 125
  34. 12
  35. 80
  36. 22
  37. 150
  38. 12
  39. 32
  40. 30

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