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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 644 · 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 ₹286 between Vivaan and Meera in the ratio 6 : 5. How much does Meera get (in ₹)?
  2. 2.Divide ₹65 between Farhan and Arjun in the ratio 8 : 5. How much does Farhan get (in ₹)?
  3. 3.6 : 9 = 24 : ?
  4. 4.2 : 14 = 16 : ?
  5. 5.6 : 2 = 54 : ?
  6. 6.7 : 2 = 28 : ?
  7. 7.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  8. 8.10 : 15 = 20 : ?
  9. 9.Divide ₹1020 between Manav and Priya in the ratio 8 : 9. How much does Manav get (in ₹)?
  10. 10.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  13. 13.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  14. 14.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  15. 15.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  16. 16.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 6 : 5. There are 60 boys. How many girls are there?
  18. 18.Divide ₹147 between Dev and Rohan in the ratio 1 : 6. How much does Dev get (in ₹)?
  19. 19.12 : 14 = 108 : ?
  20. 20.3 : 12 = 15 : ?
  21. 21.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  23. 23.Divide ₹70 between Zoya and Diya in the ratio 3 : 2. How much does Diya get (in ₹)?
  24. 24.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  25. 25.Divide ₹570 between Karan and Saanvi in the ratio 7 : 3. How much does Karan get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  27. 27.10 : 6 = 80 : ?
  28. 28.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
  29. 29.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  30. 30.5 : 12 = 30 : ?
  31. 31.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  32. 32.7 : 6 = 56 : ?
  33. 33.10 : 9 = 50 : ?
  34. 34.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  35. 35.Divide ₹336 between Tara and Ananya in the ratio 5 : 1. How much does Tara get (in ₹)?
  36. 36.Divide ₹64 between Tara and Diya in the ratio 5 : 3. How much does Diya get (in ₹)?
  37. 37.Divide ₹390 between Pooja and Ishaan in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  38. 38.2 : 10 = 16 : ?
  39. 39.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  40. 40.Divide ₹429 between Manav and Kabir in the ratio 4 : 7. How much does Manav get (in ₹)?

Answer key

  1. 130
  2. 40
  3. 36
  4. 112
  5. 18
  6. 8
  7. 64
  8. 30
  9. 480
  10. 81
  11. 24
  12. 50
  13. 72
  14. 27
  15. 16
  16. 27
  17. 50
  18. 21
  19. 126
  20. 60
  21. 16
  22. 27
  23. 28
  24. 144
  25. 399
  26. 4
  27. 48
  28. 81
  29. 125
  30. 72
  31. 12
  32. 48
  33. 45
  34. 225
  35. 280
  36. 24
  37. 351
  38. 80
  39. 8
  40. 156

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