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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 337 · 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.Divide ₹312 between Karan and Nisha in the ratio 3 : 5. How much does Karan get (in ₹)?
  2. 2.2 : 11 = 6 : ?
  3. 3.10 : 4 = 30 : ?
  4. 4.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  5. 5.Divide ₹228 between Zoya and Meera in the ratio 3 : 1. How much does Zoya get (in ₹)?
  6. 6.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  7. 7.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  8. 8.5 : 8 = 40 : ?
  9. 9.Divide ₹572 between Meera and Rohan in the ratio 7 : 6. How much does Rohan get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  11. 11.7 : 8 = 21 : ?
  12. 12.Divide ₹528 between Rohan and Diya in the ratio 8 : 3. How much does Rohan get (in ₹)?
  13. 13.10 : 12 = 90 : ?
  14. 14.Divide ₹96 between Saanvi and Rahul in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  15. 15.8 : 2 = 64 : ?
  16. 16.9 : 14 = 63 : ?
  17. 17.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  19. 19.2 : 4 = 16 : ?
  20. 20.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.3 : 14 = 9 : ?
  23. 23.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  24. 24.Divide ₹42 between Zoya and Kabir in the ratio 3 : 4. How much does Kabir get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  26. 26.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  27. 27.4 : 11 = 16 : ?
  28. 28.4 : 10 = 12 : ?
  29. 29.Divide ₹130 between Diya and Meera in the ratio 7 : 6. How much does Meera get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  31. 31.5 : 10 = 45 : ?
  32. 32.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
  33. 33.7 : 2 = 14 : ?
  34. 34.Divide ₹208 between Karan and Rahul in the ratio 3 : 5. How much does Karan get (in ₹)?
  35. 35.11 : 7 = 88 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  37. 37.2 : 12 = 6 : ?
  38. 38.10 : 6 = 30 : ?
  39. 39.Divide ₹638 between Aditya and Dev in the ratio 5 : 6. How much does Aditya get (in ₹)?
  40. 40.9 : 11 = 18 : ?

Answer key

  1. 117
  2. 33
  3. 12
  4. 12
  5. 171
  6. 175
  7. 81
  8. 64
  9. 264
  10. 4
  11. 24
  12. 384
  13. 108
  14. 64
  15. 16
  16. 98
  17. 2
  18. 25
  19. 32
  20. 18
  21. 64
  22. 42
  23. 32
  24. 24
  25. 45
  26. 16
  27. 44
  28. 30
  29. 60
  30. 9
  31. 90
  32. 54
  33. 4
  34. 78
  35. 56
  36. 15
  37. 36
  38. 18
  39. 290
  40. 22

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