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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 30 · 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 ₹350 between Meera and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  4. 4.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  5. 5.Divide ₹663 between Saanvi and Nisha in the ratio 8 : 9. How much does Nisha get (in ₹)?
  6. 6.10 : 5 = 30 : ?
  7. 7.9 : 3 = 72 : ?
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.3 : 12 = 21 : ?
  10. 10.Divide ₹200 between Vivaan and Saanvi in the ratio 3 : 7. How much does Vivaan get (in ₹)?
  11. 11.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  13. 13.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  14. 14.Divide ₹156 between Zoya and Dev in the ratio 5 : 8. How much does Dev get (in ₹)?
  15. 15.11 : 10 = 99 : ?
  16. 16.11 : 13 = 33 : ?
  17. 17.3 : 2 = 6 : ?
  18. 18.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  20. 20.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  21. 21.Divide ₹33 between Kabir and Dev in the ratio 2 : 1. How much does Dev get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  23. 23.Divide ₹30 between Meera and Aarav in the ratio 2 : 1. How much does Meera get (in ₹)?
  24. 24.Divide ₹280 between Aditya and Rahul in the ratio 1 : 6. How much does Aditya get (in ₹)?
  25. 25.5 : 3 = 25 : ?
  26. 26.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  27. 27.9 : 2 = 18 : ?
  28. 28.Divide ₹378 between Rohan and Ishaan in the ratio 5 : 9. How much does Rohan get (in ₹)?
  29. 29.Divide ₹36 between Farhan and Vivaan in the ratio 5 : 1. How much does Farhan get (in ₹)?
  30. 30.5 : 15 = 35 : ?
  31. 31.Divide ₹90 between Priya and Pooja in the ratio 7 : 2. How much does Priya get (in ₹)?
  32. 32.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  33. 33.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  34. 34.Divide ₹135 between Arjun and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  35. 35.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  36. 36.7 : 9 = 21 : ?
  37. 37.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  38. 38.Divide ₹462 between Isha and Aditya in the ratio 7 : 4. How much does Isha get (in ₹)?
  39. 39.Divide ₹66 between Meera and Ishaan in the ratio 5 : 1. How much does Meera get (in ₹)?
  40. 40.2 : 8 = 10 : ?

Answer key

  1. 50
  2. 14
  3. 12
  4. 100
  5. 351
  6. 15
  7. 24
  8. 24
  9. 84
  10. 60
  11. 128
  12. 6
  13. 8
  14. 96
  15. 90
  16. 39
  17. 4
  18. 12
  19. 32
  20. 35
  21. 11
  22. 8
  23. 20
  24. 40
  25. 15
  26. 16
  27. 4
  28. 135
  29. 30
  30. 105
  31. 70
  32. 64
  33. 16
  34. 120
  35. 36
  36. 27
  37. 9
  38. 294
  39. 55
  40. 40

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