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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 472 · 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.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  2. 2.Divide ₹180 between Aditya and Aarav in the ratio 1 : 3. How much does Aditya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  4. 4.6 : 7 = 18 : ?
  5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  6. 6.8 : 12 = 56 : ?
  7. 7.Divide ₹840 between Arjun and Diya in the ratio 8 : 7. How much does Diya get (in ₹)?
  8. 8.6 : 3 = 30 : ?
  9. 9.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  10. 10.Divide ₹702 between Tara and Nisha in the ratio 4 : 9. How much does Nisha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  12. 12.4 : 7 = 12 : ?
  13. 13.Divide ₹672 between Ishaan and Karan in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  14. 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  15. 15.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 9. There are 3 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  19. 19.Divide ₹731 between Ananya and Vivaan in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  20. 20.Divide ₹195 between Ishaan and Rohan in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  21. 21.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  22. 22.Divide ₹128 between Kabir and Saanvi in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  23. 23.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  24. 24.Divide ₹126 between Priya and Manav in the ratio 5 : 4. How much does Manav get (in ₹)?
  25. 25.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  26. 26.The ratio of boys to girls in a class is 8 : 7. There are 56 boys. How many girls are there?
  27. 27.Divide ₹490 between Pooja and Dev in the ratio 9 : 1. How much does Pooja get (in ₹)?
  28. 28.Divide ₹65 between Sneha and Rohan in the ratio 4 : 1. How much does Sneha get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  31. 31.6 : 5 = 24 : ?
  32. 32.Divide ₹77 between Kavya and Zoya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  33. 33.5 : 11 = 30 : ?
  34. 34.10 : 2 = 40 : ?
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.Divide ₹195 between Aarav and Meera in the ratio 8 : 7. How much does Meera get (in ₹)?
  37. 37.12 : 13 = 24 : ?
  38. 38.Divide ₹265 between Nisha and Diya in the ratio 2 : 3. How much does Nisha get (in ₹)?
  39. 39.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  40. 40.4 : 9 = 32 : ?

Answer key

  1. 21
  2. 45
  3. 24
  4. 21
  5. 64
  6. 84
  7. 392
  8. 15
  9. 150
  10. 486
  11. 9
  12. 21
  13. 432
  14. 32
  15. 10
  16. 27
  17. 49
  18. 48
  19. 387
  20. 117
  21. 36
  22. 96
  23. 28
  24. 56
  25. 128
  26. 49
  27. 441
  28. 52
  29. 14
  30. 15
  31. 20
  32. 22
  33. 66
  34. 8
  35. 8
  36. 91
  37. 26
  38. 106
  39. 45
  40. 72

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