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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 706 · 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 ₹88 between Manav and Vivaan in the ratio 1 : 3. How much does Manav get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  3. 3.Divide ₹180 between Diya and Meera in the ratio 7 : 8. How much does Diya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  6. 6.Divide ₹350 between Rahul and Saanvi in the ratio 1 : 6. How much does Rahul get (in ₹)?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.11 : 15 = 77 : ?
  10. 10.Divide ₹600 between Zoya and Dev in the ratio 5 : 7. How much does Dev get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  13. 13.Divide ₹848 between Vivaan and Sneha in the ratio 7 : 9. How much does Vivaan get (in ₹)?
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
  16. 16.Divide ₹75 between Priya and Saanvi in the ratio 3 : 2. How much does Priya get (in ₹)?
  17. 17.Divide ₹605 between Sneha and Rahul in the ratio 4 : 7. How much does Rahul get (in ₹)?
  18. 18.Divide ₹468 between Nisha and Zoya in the ratio 2 : 7. How much does Zoya get (in ₹)?
  19. 19.Divide ₹63 between Aditya and Arjun in the ratio 5 : 2. How much does Aditya get (in ₹)?
  20. 20.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  21. 21.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
  22. 22.Divide ₹228 between Aarav and Ishaan in the ratio 3 : 1. How much does Ishaan get (in ₹)?
  23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  24. 24.Divide ₹396 between Sneha and Dev in the ratio 2 : 7. How much does Dev get (in ₹)?
  25. 25.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  26. 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  27. 27.Divide ₹72 between Aarav and Kabir in the ratio 1 : 5. How much does Aarav get (in ₹)?
  28. 28.2 : 3 = 16 : ?
  29. 29.Divide ₹252 between Zoya and Arjun in the ratio 2 : 7. How much does Zoya get (in ₹)?
  30. 30.Divide ₹374 between Arjun and Rahul in the ratio 9 : 8. How much does Rahul get (in ₹)?
  31. 31.Divide ₹189 between Aditya and Isha in the ratio 8 : 1. How much does Isha get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  33. 33.3 : 14 = 24 : ?
  34. 34.2 : 5 = 8 : ?
  35. 35.Divide ₹144 between Rahul and Kabir in the ratio 1 : 7. How much does Rahul get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  39. 39.Divide ₹286 between Aditya and Zoya in the ratio 5 : 6. How much does Aditya get (in ₹)?
  40. 40.3 : 12 = 6 : ?

Answer key

  1. 22
  2. 14
  3. 84
  4. 12
  5. 32
  6. 50
  7. 8
  8. 12
  9. 105
  10. 350
  11. 24
  12. 10
  13. 371
  14. 20
  15. 70
  16. 45
  17. 385
  18. 364
  19. 45
  20. 36
  21. 50
  22. 57
  23. 45
  24. 308
  25. 144
  26. 27
  27. 12
  28. 24
  29. 56
  30. 176
  31. 21
  32. 20
  33. 112
  34. 20
  35. 18
  36. 50
  37. 48
  38. 9
  39. 130
  40. 24

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