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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 73 · 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. 1.11 : 13 = 77 : ?
  2. 2.11 : 2 = 99 : ?
  3. 3.2 : 8 = 10 : ?
  4. 4.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  5. 5.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  6. 6.Divide ₹432 between Rahul and Kabir in the ratio 7 : 5. How much does Kabir get (in ₹)?
  7. 7.Divide ₹40 between Dev and Kabir in the ratio 1 : 7. How much does Dev get (in ₹)?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.3 : 11 = 12 : ?
  10. 10.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  11. 11.Divide ₹208 between Ishaan and Vivaan in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  12. 12.Divide ₹75 between Isha and Vivaan in the ratio 7 : 8. How much does Vivaan get (in ₹)?
  13. 13.3 : 13 = 9 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  15. 15.Divide ₹72 between Karan and Ishaan in the ratio 2 : 1. How much does Ishaan get (in ₹)?
  16. 16.Divide ₹506 between Rohan and Farhan in the ratio 5 : 6. How much does Rohan get (in ₹)?
  17. 17.9 : 11 = 36 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  19. 19.3 : 6 = 21 : ?
  20. 20.Divide ₹301 between Tara and Ishaan in the ratio 3 : 4. How much does Tara get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  22. 22.Divide ₹340 between Sneha and Vivaan in the ratio 7 : 3. How much does Sneha get (in ₹)?
  23. 23.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  24. 24.Divide ₹208 between Vivaan and Farhan in the ratio 7 : 9. How much does Farhan get (in ₹)?
  25. 25.Divide ₹250 between Rohan and Aarav in the ratio 7 : 3. How much does Aarav get (in ₹)?
  26. 26.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  27. 27.Divide ₹168 between Priya and Ishaan in the ratio 5 : 3. How much does Ishaan get (in ₹)?
  28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  29. 29.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  30. 30.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  31. 31.Divide ₹140 between Meera and Farhan in the ratio 3 : 4. How much does Meera get (in ₹)?
  32. 32.Divide ₹102 between Ananya and Saanvi in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  34. 34.Divide ₹147 between Ananya and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  35. 35.Divide ₹175 between Kavya and Kabir in the ratio 5 : 2. How much does Kabir get (in ₹)?
  36. 36.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  37. 37.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  38. 38.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  39. 39.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  40. 40.5 : 15 = 45 : ?

Answer key

  1. 91
  2. 18
  3. 40
  4. 16
  5. 16
  6. 180
  7. 5
  8. 8
  9. 44
  10. 36
  11. 26
  12. 40
  13. 39
  14. 45
  15. 24
  16. 230
  17. 44
  18. 15
  19. 42
  20. 129
  21. 56
  22. 238
  23. 150
  24. 117
  25. 75
  26. 128
  27. 63
  28. 48
  29. 112
  30. 81
  31. 60
  32. 68
  33. 18
  34. 21
  35. 50
  36. 144
  37. 8
  38. 54
  39. 20
  40. 135

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