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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 737 · 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. 1.11 : 5 = 33 : ?
  2. 2.Divide ₹242 between Diya and Aditya in the ratio 9 : 2. How much does Diya get (in ₹)?
  3. 3.Divide ₹261 between Arjun and Pooja in the ratio 2 : 7. How much does Arjun get (in ₹)?
  4. 4.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  6. 6.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  7. 7.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  8. 8.9 : 8 = 18 : ?
  9. 9.Divide ₹160 between Nisha and Farhan in the ratio 3 : 7. How much does Farhan get (in ₹)?
  10. 10.12 : 5 = 72 : ?
  11. 11.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  12. 12.Divide ₹608 between Vivaan and Rohan in the ratio 7 : 9. How much does Vivaan get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  14. 14.2 : 4 = 16 : ?
  15. 15.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  16. 16.10 : 9 = 80 : ?
  17. 17.Divide ₹800 between Priya and Nisha in the ratio 9 : 7. How much does Priya get (in ₹)?
  18. 18.11 : 9 = 33 : ?
  19. 19.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  20. 20.8 : 15 = 72 : ?
  21. 21.Divide ₹260 between Zoya and Diya in the ratio 7 : 6. How much does Diya get (in ₹)?
  22. 22.Divide ₹72 between Rohan and Kabir in the ratio 7 : 1. How much does Rohan get (in ₹)?
  23. 23.3 : 2 = 9 : ?
  24. 24.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  25. 25.Divide ₹55 between Aditya and Pooja in the ratio 1 : 4. How much does Pooja get (in ₹)?
  26. 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  27. 27.Divide ₹320 between Nisha and Aarav in the ratio 1 : 7. How much does Aarav get (in ₹)?
  28. 28.3 : 10 = 24 : ?
  29. 29.Divide ₹110 between Pooja and Vivaan in the ratio 7 : 4. How much does Pooja get (in ₹)?
  30. 30.Divide ₹352 between Nisha and Karan in the ratio 9 : 7. How much does Nisha get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  33. 33.6 : 14 = 42 : ?
  34. 34.Divide ₹364 between Meera and Ananya in the ratio 6 : 1. How much does Meera get (in ₹)?
  35. 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  36. 36.Divide ₹176 between Nisha and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
  37. 37.2 : 14 = 18 : ?
  38. 38.Divide ₹510 between Aarav and Kabir in the ratio 8 : 7. How much does Kabir get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
  40. 40.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).

Answer key

  1. 15
  2. 198
  3. 58
  4. 128
  5. 175
  6. 225
  7. 90
  8. 16
  9. 112
  10. 30
  11. 50
  12. 266
  13. 2
  14. 32
  15. 20
  16. 72
  17. 450
  18. 27
  19. 12
  20. 135
  21. 120
  22. 63
  23. 6
  24. 96
  25. 44
  26. 45
  27. 280
  28. 80
  29. 70
  30. 198
  31. 63
  32. 12
  33. 98
  34. 312
  35. 63
  36. 132
  37. 126
  38. 238
  39. 24
  40. 18

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