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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 518 · 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.Divide ₹224 between Arjun and Farhan in the ratio 7 : 1. How much does Farhan get (in ₹)?
  2. 2.12 : 14 = 72 : ?
  3. 3.Divide ₹168 between Meera and Priya in the ratio 1 : 6. How much does Priya get (in ₹)?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.7 : 3 = 42 : ?
  6. 6.Divide ₹728 between Rahul and Zoya in the ratio 4 : 9. How much does Rahul get (in ₹)?
  7. 7.Divide ₹495 between Manav and Arjun in the ratio 2 : 9. How much does Arjun get (in ₹)?
  8. 8.9 : 12 = 18 : ?
  9. 9.Divide ₹372 between Arjun and Isha in the ratio 7 : 5. How much does Isha get (in ₹)?
  10. 10.Divide ₹318 between Rahul and Tara in the ratio 1 : 5. How much does Tara get (in ₹)?
  11. 11.5 : 13 = 10 : ?
  12. 12.11 : 9 = 77 : ?
  13. 13.Divide ₹605 between Kabir and Ishaan in the ratio 9 : 2. How much does Kabir get (in ₹)?
  14. 14.12 : 11 = 72 : ?
  15. 15.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  16. 16.7 : 13 = 28 : ?
  17. 17.12 : 10 = 96 : ?
  18. 18.11 : 6 = 88 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  20. 20.Divide ₹265 between Isha and Nisha in the ratio 1 : 4. How much does Isha get (in ₹)?
  21. 21.4 : 3 = 16 : ?
  22. 22.2 : 8 = 6 : ?
  23. 23.Divide ₹704 between Diya and Arjun in the ratio 7 : 9. How much does Arjun get (in ₹)?
  24. 24.Divide ₹531 between Dev and Isha in the ratio 2 : 7. How much does Dev get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
  27. 27.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  28. 28.Divide ₹364 between Rahul and Ishaan in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  29. 29.Divide ₹546 between Aarav and Tara in the ratio 7 : 6. How much does Aarav get (in ₹)?
  30. 30.11 : 3 = 66 : ?
  31. 31.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  32. 32.2 : 3 = 6 : ?
  33. 33.3 : 15 = 24 : ?
  34. 34.9 : 12 = 63 : ?
  35. 35.Divide ₹54 between Dev and Saanvi in the ratio 7 : 2. How much does Dev get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
  37. 37.10 : 5 = 20 : ?
  38. 38.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  39. 39.Divide ₹624 between Rahul and Nisha in the ratio 5 : 7. How much does Nisha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?

Answer key

  1. 28
  2. 84
  3. 144
  4. 16
  5. 18
  6. 224
  7. 405
  8. 24
  9. 155
  10. 265
  11. 26
  12. 63
  13. 495
  14. 66
  15. 60
  16. 52
  17. 80
  18. 48
  19. 32
  20. 53
  21. 12
  22. 24
  23. 396
  24. 118
  25. 50
  26. 15
  27. 125
  28. 224
  29. 294
  30. 18
  31. 175
  32. 9
  33. 120
  34. 84
  35. 42
  36. 72
  37. 10
  38. 100
  39. 364
  40. 56

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