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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 156 · 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 5 and 20 (that is, 5 : 20 = 20 : ?).
  2. 2.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  3. 3.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  5. 5.12 : 3 = 108 : ?
  6. 6.Divide ₹104 between Zoya and Kavya in the ratio 9 : 4. How much does Kavya get (in ₹)?
  7. 7.Divide ₹55 between Farhan and Ananya in the ratio 3 : 2. How much does Farhan get (in ₹)?
  8. 8.5 : 7 = 40 : ?
  9. 9.Divide ₹408 between Ananya and Arjun in the ratio 5 : 7. How much does Ananya get (in ₹)?
  10. 10.Divide ₹285 between Arjun and Ishaan in the ratio 1 : 4. How much does Arjun get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  12. 12.Divide ₹672 between Farhan and Kavya in the ratio 7 : 9. How much does Kavya get (in ₹)?
  13. 13.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  14. 14.Divide ₹104 between Vivaan and Rohan in the ratio 1 : 3. How much does Rohan get (in ₹)?
  15. 15.Divide ₹364 between Aarav and Isha in the ratio 6 : 1. How much does Aarav get (in ₹)?
  16. 16.Divide ₹636 between Isha and Dev in the ratio 5 : 7. How much does Isha get (in ₹)?
  17. 17.10 : 8 = 20 : ?
  18. 18.3 : 14 = 24 : ?
  19. 19.Divide ₹517 between Vivaan and Farhan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  20. 20.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  22. 22.Divide ₹252 between Zoya and Kabir in the ratio 8 : 1. How much does Zoya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  24. 24.Divide ₹145 between Tara and Arjun in the ratio 1 : 4. How much does Tara get (in ₹)?
  25. 25.Divide ₹270 between Manav and Meera in the ratio 1 : 9. How much does Meera get (in ₹)?
  26. 26.Divide ₹190 between Aditya and Kavya in the ratio 3 : 2. How much does Aditya get (in ₹)?
  27. 27.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.Divide ₹96 between Saanvi and Ishaan in the ratio 1 : 5. How much does Saanvi get (in ₹)?
  30. 30.8 : 4 = 64 : ?
  31. 31.Divide ₹126 between Dev and Aarav in the ratio 4 : 3. How much does Dev get (in ₹)?
  32. 32.8 : 2 = 72 : ?
  33. 33.Divide ₹124 between Rohan and Rahul in the ratio 1 : 3. How much does Rahul get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  37. 37.Divide ₹96 between Saanvi and Pooja in the ratio 2 : 1. How much does Pooja get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  39. 39.Divide ₹78 between Kabir and Vivaan in the ratio 5 : 1. How much does Kabir get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?

Answer key

  1. 80
  2. 36
  3. 20
  4. 12
  5. 27
  6. 32
  7. 33
  8. 56
  9. 170
  10. 57
  11. 27
  12. 378
  13. 128
  14. 78
  15. 312
  16. 265
  17. 16
  18. 112
  19. 141
  20. 150
  21. 35
  22. 224
  23. 7
  24. 29
  25. 243
  26. 114
  27. 8
  28. 20
  29. 16
  30. 32
  31. 72
  32. 18
  33. 93
  34. 18
  35. 28
  36. 48
  37. 32
  38. 6
  39. 65
  40. 9

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