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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 883 · 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.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  2. 2.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  3. 3.Divide ₹35 between Diya and Manav in the ratio 2 : 3. How much does Manav get (in ₹)?
  4. 4.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  5. 5.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  6. 6.Divide ₹72 between Nisha and Farhan in the ratio 5 : 7. How much does Farhan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
  8. 8.Divide ₹504 between Zoya and Aarav in the ratio 5 : 4. How much does Aarav get (in ₹)?
  9. 9.Divide ₹196 between Meera and Rahul in the ratio 6 : 1. How much does Meera get (in ₹)?
  10. 10.Divide ₹495 between Rahul and Aarav in the ratio 7 : 8. How much does Aarav get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  12. 12.2 : 4 = 10 : ?
  13. 13.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  15. 15.Divide ₹180 between Aditya and Saanvi in the ratio 3 : 2. How much does Saanvi get (in ₹)?
  16. 16.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  17. 17.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  18. 18.Divide ₹280 between Priya and Saanvi in the ratio 7 : 3. How much does Priya get (in ₹)?
  19. 19.12 : 11 = 36 : ?
  20. 20.Divide ₹90 between Rohan and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
  21. 21.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  22. 22.10 : 3 = 90 : ?
  23. 23.Divide ₹25 between Meera and Tara in the ratio 2 : 3. How much does Tara get (in ₹)?
  24. 24.9 : 8 = 27 : ?
  25. 25.11 : 13 = 88 : ?
  26. 26.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  27. 27.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  28. 28.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  29. 29.10 : 9 = 50 : ?
  30. 30.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  32. 32.3 : 13 = 6 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  34. 34.Divide ₹111 between Rahul and Diya in the ratio 2 : 1. How much does Rahul get (in ₹)?
  35. 35.Divide ₹780 between Aarav and Kavya in the ratio 8 : 5. How much does Kavya get (in ₹)?
  36. 36.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  37. 37.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  38. 38.4 : 3 = 8 : ?
  39. 39.Divide ₹342 between Ananya and Saanvi in the ratio 4 : 5. How much does Ananya get (in ₹)?
  40. 40.Divide ₹513 between Vivaan and Sneha in the ratio 2 : 7. How much does Sneha get (in ₹)?

Answer key

  1. 56
  2. 128
  3. 21
  4. 125
  5. 24
  6. 42
  7. 90
  8. 224
  9. 168
  10. 264
  11. 63
  12. 20
  13. 18
  14. 30
  15. 72
  16. 32
  17. 20
  18. 196
  19. 33
  20. 63
  21. 100
  22. 27
  23. 15
  24. 24
  25. 104
  26. 35
  27. 112
  28. 35
  29. 45
  30. 30
  31. 35
  32. 26
  33. 8
  34. 74
  35. 300
  36. 50
  37. 27
  38. 6
  39. 152
  40. 399

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