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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 523 · 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).

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  1. 1.2 : 4 = 12 : ?
  2. 2.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  3. 3.Divide ₹160 between Ananya and Isha in the ratio 1 : 9. How much does Ananya get (in ₹)?
  4. 4.3 : 14 = 18 : ?
  5. 5.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  6. 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  7. 7.3 : 7 = 24 : ?
  8. 8.Divide ₹644 between Dev and Ananya in the ratio 5 : 9. How much does Ananya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  10. 10.Divide ₹689 between Isha and Kabir in the ratio 6 : 7. How much does Isha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  13. 13.Divide ₹399 between Priya and Sneha in the ratio 3 : 4. How much does Sneha get (in ₹)?
  14. 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  15. 15.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  17. 17.8 : 4 = 16 : ?
  18. 18.Divide ₹126 between Farhan and Ananya in the ratio 2 : 5. How much does Ananya get (in ₹)?
  19. 19.Divide ₹132 between Ishaan and Kabir in the ratio 5 : 1. How much does Ishaan get (in ₹)?
  20. 20.12 : 8 = 60 : ?
  21. 21.Divide ₹60 between Aarav and Rahul in the ratio 7 : 5. How much does Aarav get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
  24. 24.Divide ₹85 between Aarav and Pooja in the ratio 9 : 8. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  26. 26.11 : 4 = 77 : ?
  27. 27.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
  29. 29.6 : 14 = 30 : ?
  30. 30.Divide ₹42 between Kabir and Dev in the ratio 6 : 1. How much does Dev get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 8. There are 30 boys. How many girls are there?
  32. 32.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  33. 33.3 : 11 = 24 : ?
  34. 34.Divide ₹390 between Rohan and Kavya in the ratio 1 : 9. How much does Kavya get (in ₹)?
  35. 35.Divide ₹406 between Rohan and Arjun in the ratio 2 : 5. How much does Rohan get (in ₹)?
  36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  37. 37.Divide ₹731 between Sneha and Kavya in the ratio 8 : 9. How much does Kavya get (in ₹)?
  38. 38.Divide ₹145 between Zoya and Nisha in the ratio 1 : 4. How much does Nisha get (in ₹)?
  39. 39.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  40. 40.6 : 15 = 36 : ?

Answer key

  1. 24
  2. 144
  3. 16
  4. 84
  5. 27
  6. 75
  7. 56
  8. 414
  9. 8
  10. 318
  11. 2
  12. 7
  13. 228
  14. 64
  15. 20
  16. 18
  17. 8
  18. 90
  19. 110
  20. 40
  21. 35
  22. 32
  23. 14
  24. 40
  25. 50
  26. 28
  27. 36
  28. 48
  29. 70
  30. 6
  31. 80
  32. 50
  33. 88
  34. 351
  35. 116
  36. 128
  37. 387
  38. 116
  39. 32
  40. 90

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