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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 452 · 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. 1.3 : 7 = 21 : ?
  2. 2.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  4. 4.9 : 13 = 63 : ?
  5. 5.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  6. 6.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  7. 7.3 : 6 = 24 : ?
  8. 8.Divide ₹33 between Diya and Priya in the ratio 2 : 1. How much does Priya get (in ₹)?
  9. 9.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  10. 10.Divide ₹253 between Sneha and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  11. 11.Divide ₹68 between Ishaan and Meera in the ratio 3 : 1. How much does Meera get (in ₹)?
  12. 12.Divide ₹48 between Manav and Zoya in the ratio 1 : 5. How much does Zoya get (in ₹)?
  13. 13.Divide ₹504 between Isha and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  14. 14.Divide ₹170 between Ishaan and Saanvi in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  15. 15.7 : 2 = 14 : ?
  16. 16.4 : 8 = 36 : ?
  17. 17.6 : 15 = 24 : ?
  18. 18.Divide ₹91 between Zoya and Kabir in the ratio 8 : 5. How much does Zoya get (in ₹)?
  19. 19.Divide ₹279 between Rohan and Dev in the ratio 1 : 8. How much does Rohan get (in ₹)?
  20. 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  22. 22.11 : 8 = 88 : ?
  23. 23.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  24. 24.Divide ₹559 between Farhan and Saanvi in the ratio 4 : 9. How much does Farhan get (in ₹)?
  25. 25.Divide ₹540 between Zoya and Priya in the ratio 7 : 2. How much does Zoya get (in ₹)?
  26. 26.Divide ₹80 between Rahul and Ishaan in the ratio 3 : 1. How much does Rahul get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  28. 28.Divide ₹312 between Saanvi and Dev in the ratio 9 : 4. How much does Saanvi get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  31. 31.Divide ₹70 between Arjun and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
  32. 32.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  33. 33.3 : 2 = 27 : ?
  34. 34.Divide ₹451 between Dev and Diya in the ratio 9 : 2. How much does Diya get (in ₹)?
  35. 35.2 : 6 = 8 : ?
  36. 36.Divide ₹697 between Isha and Farhan in the ratio 9 : 8. How much does Farhan get (in ₹)?
  37. 37.Divide ₹112 between Ananya and Vivaan in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  39. 39.Divide ₹154 between Rahul and Kabir in the ratio 5 : 6. How much does Rahul get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 7 : 9. There are 28 boys. How many girls are there?

Answer key

  1. 49
  2. 112
  3. 27
  4. 91
  5. 30
  6. 144
  7. 48
  8. 11
  9. 96
  10. 184
  11. 17
  12. 40
  13. 56
  14. 17
  15. 4
  16. 72
  17. 60
  18. 56
  19. 31
  20. 12
  21. 63
  22. 64
  23. 128
  24. 172
  25. 420
  26. 60
  27. 21
  28. 216
  29. 54
  30. 36
  31. 28
  32. 50
  33. 18
  34. 82
  35. 24
  36. 328
  37. 84
  38. 2
  39. 70
  40. 36

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