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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 511 · 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 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.Divide ₹260 between Priya and Aarav in the ratio 7 : 3. How much does Aarav get (in ₹)?
  3. 3.Divide ₹363 between Nisha and Vivaan in the ratio 3 : 8. How much does Nisha get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
  5. 5.10 : 3 = 30 : ?
  6. 6.Divide ₹95 between Rahul and Aditya in the ratio 2 : 3. How much does Rahul get (in ₹)?
  7. 7.Divide ₹273 between Isha and Farhan in the ratio 9 : 4. How much does Isha get (in ₹)?
  8. 8.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  9. 9.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  10. 10.7 : 9 = 42 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  12. 12.Divide ₹318 between Isha and Saanvi in the ratio 1 : 5. How much does Isha get (in ₹)?
  13. 13.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  14. 14.3 : 11 = 24 : ?
  15. 15.8 : 9 = 72 : ?
  16. 16.Divide ₹588 between Nisha and Aditya in the ratio 9 : 5. How much does Nisha get (in ₹)?
  17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  20. 20.5 : 15 = 45 : ?
  21. 21.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  22. 22.Divide ₹78 between Priya and Ishaan in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  23. 23.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  24. 24.Divide ₹357 between Meera and Kavya in the ratio 8 : 9. How much does Meera get (in ₹)?
  25. 25.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  26. 26.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  27. 27.4 : 8 = 16 : ?
  28. 28.Divide ₹105 between Dev and Diya in the ratio 8 : 7. How much does Diya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  30. 30.11 : 4 = 77 : ?
  31. 31.4 : 9 = 8 : ?
  32. 32.4 : 7 = 20 : ?
  33. 33.Divide ₹715 between Rahul and Dev in the ratio 6 : 7. How much does Rahul get (in ₹)?
  34. 34.Divide ₹689 between Priya and Arjun in the ratio 4 : 9. How much does Priya get (in ₹)?
  35. 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  36. 36.5 : 10 = 10 : ?
  37. 37.2 : 5 = 18 : ?
  38. 38.Divide ₹238 between Rahul and Rohan in the ratio 5 : 9. How much does Rahul get (in ₹)?
  39. 39.11 : 14 = 44 : ?
  40. 40.Divide ₹299 between Ishaan and Kabir in the ratio 7 : 6. How much does Ishaan get (in ₹)?

Answer key

  1. 50
  2. 78
  3. 99
  4. 54
  5. 9
  6. 38
  7. 189
  8. 80
  9. 150
  10. 54
  11. 80
  12. 53
  13. 45
  14. 88
  15. 81
  16. 378
  17. 8
  18. 9
  19. 30
  20. 135
  21. 16
  22. 13
  23. 144
  24. 168
  25. 112
  26. 8
  27. 32
  28. 49
  29. 9
  30. 28
  31. 18
  32. 35
  33. 330
  34. 212
  35. 63
  36. 20
  37. 45
  38. 85
  39. 56
  40. 161

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