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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 11 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹45 between Aarav and Priya in the ratio 1 : 8. How much does Aarav get (in ₹)?
  2. 2.Divide ₹689 between Kabir and Farhan in the ratio 7 : 6. How much does Kabir get (in ₹)?
  3. 3.10 : 7 = 70 : ?
  4. 4.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
  5. 5.Divide ₹432 between Ananya and Pooja in the ratio 1 : 8. How much does Pooja get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
  7. 7.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  8. 8.12 : 3 = 48 : ?
  9. 9.Divide ₹560 between Kabir and Arjun in the ratio 9 : 5. How much does Arjun get (in ₹)?
  10. 10.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  11. 11.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  13. 13.2 : 7 = 18 : ?
  14. 14.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  15. 15.Divide ₹297 between Nisha and Kavya in the ratio 7 : 2. How much does Kavya get (in ₹)?
  16. 16.Divide ₹440 between Kabir and Ishaan in the ratio 4 : 7. How much does Kabir get (in ₹)?
  17. 17.9 : 10 = 45 : ?
  18. 18.Divide ₹243 between Priya and Diya in the ratio 8 : 1. How much does Diya get (in ₹)?
  19. 19.Divide ₹495 between Karan and Kabir in the ratio 9 : 2. How much does Kabir get (in ₹)?
  20. 20.Divide ₹360 between Aditya and Arjun in the ratio 5 : 1. How much does Arjun get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  22. 22.11 : 4 = 66 : ?
  23. 23.2 : 5 = 18 : ?
  24. 24.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  26. 26.6 : 3 = 12 : ?
  27. 27.11 : 8 = 44 : ?
  28. 28.Divide ₹165 between Kavya and Meera in the ratio 2 : 9. How much does Meera get (in ₹)?
  29. 29.11 : 13 = 77 : ?
  30. 30.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  31. 31.Divide ₹99 between Kabir and Zoya in the ratio 3 : 8. How much does Kabir get (in ₹)?
  32. 32.Divide ₹80 between Vivaan and Zoya in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  33. 33.Divide ₹351 between Diya and Vivaan in the ratio 4 : 5. How much does Vivaan get (in ₹)?
  34. 34.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  35. 35.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  36. 36.10 : 4 = 20 : ?
  37. 37.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  38. 38.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
  39. 39.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  40. 40.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?

Answer key

  1. 5
  2. 371
  3. 49
  4. 2
  5. 384
  6. 35
  7. 81
  8. 12
  9. 200
  10. 64
  11. 112
  12. 100
  13. 63
  14. 225
  15. 66
  16. 160
  17. 50
  18. 27
  19. 90
  20. 60
  21. 45
  22. 24
  23. 45
  24. 63
  25. 48
  26. 6
  27. 32
  28. 135
  29. 91
  30. 10
  31. 27
  32. 48
  33. 195
  34. 18
  35. 175
  36. 8
  37. 128
  38. 49
  39. 72
  40. 63

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