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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 345 · 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 ₹319 between Rohan and Zoya in the ratio 4 : 7. How much does Rohan get (in ₹)?
  2. 2.Divide ₹561 between Arjun and Farhan in the ratio 3 : 8. How much does Farhan get (in ₹)?
  3. 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  4. 4.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
  6. 6.Divide ₹507 between Nisha and Kabir in the ratio 5 : 8. How much does Nisha get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
  8. 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  9. 9.12 : 3 = 96 : ?
  10. 10.Divide ₹98 between Saanvi and Arjun in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  11. 11.12 : 4 = 108 : ?
  12. 12.3 : 2 = 9 : ?
  13. 13.7 : 12 = 63 : ?
  14. 14.Divide ₹414 between Sneha and Rohan in the ratio 1 : 8. How much does Sneha get (in ₹)?
  15. 15.Divide ₹40 between Rohan and Aditya in the ratio 3 : 5. How much does Aditya get (in ₹)?
  16. 16.10 : 12 = 60 : ?
  17. 17.Divide ₹133 between Nisha and Aditya in the ratio 3 : 4. How much does Aditya get (in ₹)?
  18. 18.Divide ₹530 between Aditya and Farhan in the ratio 1 : 9. How much does Aditya get (in ₹)?
  19. 19.9 : 11 = 36 : ?
  20. 20.9 : 15 = 54 : ?
  21. 21.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  22. 22.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  23. 23.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
  24. 24.5 : 8 = 30 : ?
  25. 25.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  26. 26.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  27. 27.7 : 14 = 49 : ?
  28. 28.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  29. 29.Divide ₹165 between Aarav and Kabir in the ratio 9 : 2. How much does Aarav get (in ₹)?
  30. 30.Divide ₹583 between Aditya and Ananya in the ratio 4 : 7. How much does Ananya get (in ₹)?
  31. 31.Divide ₹55 between Karan and Arjun in the ratio 7 : 4. How much does Karan get (in ₹)?
  32. 32.2 : 13 = 6 : ?
  33. 33.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  34. 34.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  35. 35.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  36. 36.Divide ₹780 between Priya and Diya in the ratio 7 : 6. How much does Priya get (in ₹)?
  37. 37.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  38. 38.11 : 9 = 99 : ?
  39. 39.Divide ₹130 between Ananya and Rahul in the ratio 1 : 9. How much does Rahul get (in ₹)?
  40. 40.Divide ₹357 between Manav and Rohan in the ratio 3 : 4. How much does Rohan get (in ₹)?

Answer key

  1. 116
  2. 408
  3. 125
  4. 70
  5. 8
  6. 195
  7. 48
  8. 144
  9. 24
  10. 14
  11. 36
  12. 6
  13. 108
  14. 46
  15. 25
  16. 72
  17. 76
  18. 53
  19. 44
  20. 90
  21. 24
  22. 72
  23. 5
  24. 48
  25. 54
  26. 200
  27. 98
  28. 36
  29. 135
  30. 371
  31. 35
  32. 39
  33. 32
  34. 50
  35. 30
  36. 420
  37. 80
  38. 81
  39. 117
  40. 204

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