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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 346 · 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 ₹200 between Ananya and Arjun in the ratio 1 : 4. How much does Arjun get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  4. 4.Divide ₹176 between Tara and Vivaan in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  5. 5.4 : 6 = 24 : ?
  6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  7. 7.Divide ₹351 between Farhan and Dev in the ratio 9 : 4. How much does Dev get (in ₹)?
  8. 8.Divide ₹54 between Meera and Kabir in the ratio 2 : 1. How much does Meera get (in ₹)?
  9. 9.4 : 2 = 36 : ?
  10. 10.Divide ₹100 between Aditya and Kavya in the ratio 1 : 4. How much does Aditya get (in ₹)?
  11. 11.2 : 5 = 4 : ?
  12. 12.Divide ₹480 between Rohan and Dev in the ratio 7 : 3. How much does Dev get (in ₹)?
  13. 13.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  14. 14.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  15. 15.2 : 3 = 8 : ?
  16. 16.Divide ₹540 between Arjun and Pooja in the ratio 5 : 4. How much does Pooja get (in ₹)?
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.9 : 13 = 72 : ?
  19. 19.7 : 2 = 42 : ?
  20. 20.Divide ₹147 between Zoya and Kavya in the ratio 5 : 2. How much does Kavya get (in ₹)?
  21. 21.6 : 9 = 30 : ?
  22. 22.11 : 13 = 77 : ?
  23. 23.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  24. 24.11 : 2 = 55 : ?
  25. 25.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  26. 26.6 : 12 = 12 : ?
  27. 27.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  28. 28.Divide ₹611 between Kabir and Meera in the ratio 5 : 8. How much does Kabir get (in ₹)?
  29. 29.11 : 7 = 55 : ?
  30. 30.Divide ₹130 between Zoya and Kabir in the ratio 1 : 9. How much does Kabir get (in ₹)?
  31. 31.Divide ₹147 between Priya and Zoya in the ratio 6 : 1. How much does Zoya get (in ₹)?
  32. 32.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  33. 33.6 : 3 = 12 : ?
  34. 34.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  35. 35.6 : 14 = 36 : ?
  36. 36.Divide ₹84 between Pooja and Aditya in the ratio 5 : 9. How much does Pooja get (in ₹)?
  37. 37.7 : 5 = 28 : ?
  38. 38.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  39. 39.9 : 4 = 81 : ?
  40. 40.Divide ₹495 between Aarav and Nisha in the ratio 3 : 8. How much does Aarav get (in ₹)?

Answer key

  1. 160
  2. 81
  3. 48
  4. 96
  5. 36
  6. 150
  7. 108
  8. 36
  9. 18
  10. 20
  11. 10
  12. 144
  13. 225
  14. 70
  15. 12
  16. 240
  17. 20
  18. 104
  19. 12
  20. 42
  21. 45
  22. 91
  23. 8
  24. 10
  25. 63
  26. 24
  27. 28
  28. 235
  29. 35
  30. 117
  31. 21
  32. 81
  33. 6
  34. 200
  35. 84
  36. 30
  37. 20
  38. 24
  39. 36
  40. 135

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