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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 50 · 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. 1.4 : 14 = 16 : ?
  2. 2.10 : 15 = 90 : ?
  3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  4. 4.Divide ₹160 between Aarav and Aditya in the ratio 3 : 1. How much does Aarav get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  6. 6.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  7. 7.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  8. 8.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  9. 9.9 : 15 = 27 : ?
  10. 10.Divide ₹672 between Meera and Zoya in the ratio 9 : 5. How much does Meera get (in ₹)?
  11. 11.Divide ₹472 between Aarav and Priya in the ratio 3 : 5. How much does Priya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  14. 14.Divide ₹185 between Karan and Kabir in the ratio 2 : 3. How much does Kabir get (in ₹)?
  15. 15.3 : 2 = 24 : ?
  16. 16.Divide ₹84 between Rohan and Kavya in the ratio 5 : 2. How much does Kavya get (in ₹)?
  17. 17.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  18. 18.12 : 9 = 36 : ?
  19. 19.2 : 8 = 18 : ?
  20. 20.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  21. 21.The ratio of boys to girls in a class is 6 : 5. There are 36 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  23. 23.11 : 13 = 22 : ?
  24. 24.Divide ₹407 between Arjun and Tara in the ratio 2 : 9. How much does Tara get (in ₹)?
  25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  26. 26.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  27. 27.9 : 12 = 63 : ?
  28. 28.Divide ₹168 between Kavya and Arjun in the ratio 1 : 6. How much does Arjun get (in ₹)?
  29. 29.Divide ₹70 between Ananya and Nisha in the ratio 2 : 3. How much does Ananya get (in ₹)?
  30. 30.Divide ₹135 between Vivaan and Sneha in the ratio 5 : 4. How much does Sneha get (in ₹)?
  31. 31.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  32. 32.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  33. 33.4 : 2 = 36 : ?
  34. 34.Divide ₹286 between Priya and Vivaan in the ratio 5 : 8. How much does Vivaan get (in ₹)?
  35. 35.7 : 4 = 56 : ?
  36. 36.Divide ₹210 between Karan and Rahul in the ratio 1 : 9. How much does Karan get (in ₹)?
  37. 37.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  38. 38.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  39. 39.7 : 14 = 56 : ?
  40. 40.2 : 3 = 4 : ?

Answer key

  1. 56
  2. 135
  3. 63
  4. 120
  5. 20
  6. 36
  7. 45
  8. 225
  9. 45
  10. 432
  11. 295
  12. 15
  13. 70
  14. 111
  15. 16
  16. 24
  17. 100
  18. 27
  19. 72
  20. 80
  21. 30
  22. 8
  23. 26
  24. 333
  25. 18
  26. 81
  27. 84
  28. 144
  29. 28
  30. 60
  31. 20
  32. 63
  33. 18
  34. 176
  35. 32
  36. 21
  37. 12
  38. 9
  39. 112
  40. 6

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