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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 983 · 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 ₹504 between Farhan and Dev in the ratio 8 : 1. How much does Dev get (in ₹)?
  2. 2.10 : 2 = 70 : ?
  3. 3.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  4. 4.4 : 11 = 36 : ?
  5. 5.2 : 4 = 14 : ?
  6. 6.Divide ₹156 between Priya and Isha in the ratio 7 : 5. How much does Priya get (in ₹)?
  7. 7.8 : 5 = 16 : ?
  8. 8.4 : 5 = 12 : ?
  9. 9.10 : 9 = 20 : ?
  10. 10.7 : 11 = 14 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  12. 12.2 : 5 = 14 : ?
  13. 13.Divide ₹171 between Ananya and Kavya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  14. 14.9 : 14 = 63 : ?
  15. 15.2 : 11 = 18 : ?
  16. 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  17. 17.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  18. 18.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  19. 19.3 : 5 = 24 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  21. 21.Divide ₹462 between Saanvi and Kavya in the ratio 7 : 4. How much does Kavya get (in ₹)?
  22. 22.Divide ₹552 between Manav and Nisha in the ratio 5 : 7. How much does Manav get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  24. 24.Divide ₹120 between Vivaan and Tara in the ratio 3 : 1. How much does Tara get (in ₹)?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.2 : 3 = 10 : ?
  27. 27.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  29. 29.Divide ₹168 between Meera and Ishaan in the ratio 1 : 6. How much does Ishaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
  31. 31.11 : 2 = 33 : ?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.Divide ₹288 between Aarav and Arjun in the ratio 4 : 5. How much does Aarav get (in ₹)?
  34. 34.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  35. 35.6 : 10 = 24 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  37. 37.4 : 3 = 32 : ?
  38. 38.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  39. 39.5 : 14 = 15 : ?
  40. 40.7 : 6 = 14 : ?

Answer key

  1. 56
  2. 14
  3. 12
  4. 99
  5. 28
  6. 91
  7. 10
  8. 15
  9. 18
  10. 22
  11. 81
  12. 35
  13. 57
  14. 98
  15. 99
  16. 80
  17. 4
  18. 36
  19. 40
  20. 30
  21. 168
  22. 230
  23. 4
  24. 30
  25. 18
  26. 15
  27. 12
  28. 32
  29. 144
  30. 12
  31. 6
  32. 125
  33. 128
  34. 8
  35. 40
  36. 6
  37. 24
  38. 30
  39. 42
  40. 12

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