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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 483 · 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.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  2. 2.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
  3. 3.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  4. 4.5 : 11 = 10 : ?
  5. 5.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
  7. 7.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  8. 8.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  9. 9.11 : 2 = 99 : ?
  10. 10.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  11. 11.Divide ₹306 between Priya and Rohan in the ratio 7 : 2. How much does Priya get (in ₹)?
  12. 12.Divide ₹264 between Arjun and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
  13. 13.Divide ₹70 between Dev and Priya in the ratio 1 : 6. How much does Dev get (in ₹)?
  14. 14.6 : 13 = 36 : ?
  15. 15.Divide ₹176 between Aditya and Saanvi in the ratio 6 : 5. How much does Saanvi get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  17. 17.Divide ₹583 between Manav and Ananya in the ratio 5 : 6. How much does Ananya get (in ₹)?
  18. 18.Divide ₹55 between Manav and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  19. 19.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
  21. 21.12 : 9 = 48 : ?
  22. 22.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  23. 23.Divide ₹170 between Ishaan and Kavya in the ratio 8 : 9. How much does Kavya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  25. 25.Divide ₹338 between Pooja and Kabir in the ratio 5 : 8. How much does Kabir get (in ₹)?
  26. 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  27. 27.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  28. 28.Divide ₹399 between Nisha and Tara in the ratio 3 : 4. How much does Tara get (in ₹)?
  29. 29.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  30. 30.10 : 14 = 90 : ?
  31. 31.Divide ₹162 between Aditya and Arjun in the ratio 2 : 1. How much does Aditya get (in ₹)?
  32. 32.Divide ₹435 between Manav and Farhan in the ratio 7 : 8. How much does Manav get (in ₹)?
  33. 33.4 : 5 = 12 : ?
  34. 34.Divide ₹63 between Pooja and Zoya in the ratio 2 : 5. How much does Pooja get (in ₹)?
  35. 35.Divide ₹102 between Rahul and Aarav in the ratio 8 : 9. How much does Rahul get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  37. 37.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  38. 38.Divide ₹429 between Manav and Diya in the ratio 5 : 8. How much does Diya get (in ₹)?
  39. 39.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  40. 40.6 : 8 = 54 : ?

Answer key

  1. 128
  2. 16
  3. 64
  4. 22
  5. 4
  6. 28
  7. 48
  8. 4
  9. 18
  10. 18
  11. 238
  12. 44
  13. 10
  14. 78
  15. 80
  16. 81
  17. 318
  18. 25
  19. 36
  20. 18
  21. 36
  22. 225
  23. 90
  24. 16
  25. 208
  26. 27
  27. 21
  28. 228
  29. 12
  30. 126
  31. 108
  32. 203
  33. 15
  34. 18
  35. 48
  36. 6
  37. 54
  38. 264
  39. 32
  40. 72

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