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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 298 · 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 7 and 14 (that is, 7 : 14 = 14 : ?).
  2. 2.Divide ₹832 between Kabir and Pooja in the ratio 7 : 9. How much does Pooja get (in ₹)?
  3. 3.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  4. 4.Divide ₹168 between Kabir and Rahul in the ratio 3 : 5. How much does Kabir get (in ₹)?
  5. 5.5 : 12 = 20 : ?
  6. 6.Divide ₹168 between Priya and Farhan in the ratio 7 : 5. How much does Priya get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  8. 8.7 : 4 = 21 : ?
  9. 9.9 : 7 = 54 : ?
  10. 10.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  11. 11.4 : 7 = 28 : ?
  12. 12.Divide ₹220 between Aarav and Ishaan in the ratio 8 : 3. How much does Aarav get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  14. 14.Divide ₹301 between Vivaan and Saanvi in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  15. 15.7 : 6 = 56 : ?
  16. 16.7 : 14 = 49 : ?
  17. 17.2 : 15 = 18 : ?
  18. 18.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  19. 19.Divide ₹130 between Priya and Sneha in the ratio 3 : 7. How much does Priya get (in ₹)?
  20. 20.4 : 11 = 16 : ?
  21. 21.Divide ₹406 between Arjun and Priya in the ratio 2 : 5. How much does Arjun get (in ₹)?
  22. 22.7 : 2 = 63 : ?
  23. 23.Divide ₹116 between Ishaan and Meera in the ratio 3 : 1. How much does Ishaan get (in ₹)?
  24. 24.12 : 10 = 84 : ?
  25. 25.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  26. 26.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  29. 29.Divide ₹45 between Farhan and Isha in the ratio 2 : 1. How much does Farhan get (in ₹)?
  30. 30.Divide ₹252 between Farhan and Saanvi in the ratio 5 : 9. How much does Farhan get (in ₹)?
  31. 31.7 : 10 = 35 : ?
  32. 32.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  33. 33.Divide ₹250 between Tara and Aditya in the ratio 3 : 7. How much does Aditya get (in ₹)?
  34. 34.Divide ₹210 between Kabir and Nisha in the ratio 3 : 7. How much does Nisha get (in ₹)?
  35. 35.3 : 6 = 21 : ?
  36. 36.Divide ₹396 between Aditya and Isha in the ratio 5 : 4. How much does Aditya get (in ₹)?
  37. 37.Divide ₹900 between Dev and Tara in the ratio 7 : 8. How much does Dev get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  39. 39.4 : 13 = 28 : ?
  40. 40.Divide ₹85 between Pooja and Manav in the ratio 9 : 8. How much does Manav get (in ₹)?

Answer key

  1. 28
  2. 468
  3. 81
  4. 63
  5. 48
  6. 98
  7. 3
  8. 12
  9. 42
  10. 36
  11. 49
  12. 160
  13. 10
  14. 43
  15. 48
  16. 98
  17. 135
  18. 18
  19. 39
  20. 44
  21. 116
  22. 18
  23. 87
  24. 70
  25. 175
  26. 24
  27. 5
  28. 6
  29. 30
  30. 90
  31. 50
  32. 72
  33. 175
  34. 147
  35. 42
  36. 220
  37. 420
  38. 18
  39. 91
  40. 40

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