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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 704 · 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 ₹96 between Isha and Aditya in the ratio 5 : 7. How much does Aditya get (in ₹)?
  2. 2.Divide ₹440 between Meera and Rohan in the ratio 9 : 2. How much does Meera get (in ₹)?
  3. 3.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  4. 4.12 : 11 = 24 : ?
  5. 5.3 : 15 = 21 : ?
  6. 6.11 : 12 = 66 : ?
  7. 7.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  8. 8.3 : 11 = 6 : ?
  9. 9.Divide ₹273 between Ishaan and Vivaan in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  10. 10.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  11. 11.Divide ₹351 between Pooja and Diya in the ratio 9 : 4. How much does Diya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
  13. 13.Divide ₹72 between Priya and Isha in the ratio 5 : 3. How much does Isha get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  15. 15.4 : 9 = 16 : ?
  16. 16.Divide ₹90 between Kavya and Zoya in the ratio 4 : 1. How much does Zoya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  18. 18.3 : 12 = 9 : ?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.2 : 9 = 16 : ?
  21. 21.Divide ₹60 between Farhan and Ananya in the ratio 1 : 4. How much does Ananya get (in ₹)?
  22. 22.Divide ₹513 between Tara and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.Divide ₹60 between Kabir and Meera in the ratio 4 : 1. How much does Meera get (in ₹)?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.2 : 8 = 10 : ?
  27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  28. 28.10 : 11 = 60 : ?
  29. 29.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  30. 30.9 : 10 = 72 : ?
  31. 31.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  32. 32.Divide ₹247 between Nisha and Zoya in the ratio 5 : 8. How much does Zoya get (in ₹)?
  33. 33.Divide ₹45 between Ananya and Rahul in the ratio 2 : 3. How much does Rahul get (in ₹)?
  34. 34.Divide ₹312 between Sneha and Kavya in the ratio 5 : 8. How much does Kavya get (in ₹)?
  35. 35.2 : 9 = 14 : ?
  36. 36.3 : 6 = 15 : ?
  37. 37.4 : 10 = 12 : ?
  38. 38.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  39. 39.Divide ₹352 between Dev and Priya in the ratio 6 : 5. How much does Priya get (in ₹)?
  40. 40.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).

Answer key

  1. 56
  2. 360
  3. 144
  4. 22
  5. 105
  6. 72
  7. 112
  8. 22
  9. 126
  10. 150
  11. 108
  12. 48
  13. 27
  14. 24
  15. 36
  16. 18
  17. 21
  18. 36
  19. 36
  20. 72
  21. 48
  22. 114
  23. 125
  24. 12
  25. 48
  26. 40
  27. 32
  28. 66
  29. 14
  30. 80
  31. 80
  32. 152
  33. 27
  34. 192
  35. 63
  36. 30
  37. 30
  38. 20
  39. 160
  40. 72

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