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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 256 · 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.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  3. 3.Divide ₹754 between Ananya and Kavya in the ratio 6 : 7. How much does Ananya get (in ₹)?
  4. 4.2 : 10 = 16 : ?
  5. 5.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  6. 6.Divide ₹36 between Meera and Farhan in the ratio 1 : 3. How much does Meera get (in ₹)?
  7. 7.Divide ₹328 between Aarav and Rohan in the ratio 5 : 3. How much does Rohan get (in ₹)?
  8. 8.Divide ₹65 between Zoya and Priya in the ratio 7 : 6. How much does Zoya get (in ₹)?
  9. 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.Divide ₹637 between Kavya and Tara in the ratio 5 : 8. How much does Tara get (in ₹)?
  12. 12.Divide ₹240 between Kabir and Manav in the ratio 7 : 1. How much does Kabir get (in ₹)?
  13. 13.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  14. 14.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  15. 15.Divide ₹370 between Vivaan and Sneha in the ratio 7 : 3. How much does Sneha get (in ₹)?
  16. 16.5 : 6 = 35 : ?
  17. 17.Divide ₹63 between Saanvi and Nisha in the ratio 5 : 2. How much does Nisha get (in ₹)?
  18. 18.9 : 3 = 27 : ?
  19. 19.Divide ₹450 between Nisha and Kabir in the ratio 1 : 8. How much does Nisha get (in ₹)?
  20. 20.Divide ₹341 between Diya and Kabir in the ratio 9 : 2. How much does Diya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  22. 22.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  23. 23.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  24. 24.7 : 2 = 14 : ?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.Divide ₹180 between Dev and Pooja in the ratio 2 : 7. How much does Dev get (in ₹)?
  27. 27.10 : 2 = 30 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  29. 29.Divide ₹560 between Aarav and Aditya in the ratio 5 : 9. How much does Aditya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  31. 31.Divide ₹780 between Kabir and Pooja in the ratio 7 : 8. How much does Kabir get (in ₹)?
  32. 32.Divide ₹56 between Manav and Meera in the ratio 5 : 2. How much does Meera get (in ₹)?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.Divide ₹63 between Zoya and Nisha in the ratio 2 : 5. How much does Nisha get (in ₹)?
  35. 35.5 : 12 = 15 : ?
  36. 36.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  37. 37.Divide ₹48 between Saanvi and Kavya in the ratio 3 : 5. How much does Saanvi get (in ₹)?
  38. 38.4 : 10 = 8 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  40. 40.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).

Answer key

  1. 30
  2. 20
  3. 348
  4. 80
  5. 18
  6. 9
  7. 123
  8. 35
  9. 28
  10. 48
  11. 392
  12. 210
  13. 24
  14. 7
  15. 111
  16. 42
  17. 18
  18. 9
  19. 50
  20. 279
  21. 50
  22. 200
  23. 4
  24. 4
  25. 75
  26. 40
  27. 6
  28. 28
  29. 360
  30. 16
  31. 364
  32. 16
  33. 50
  34. 45
  35. 36
  36. 14
  37. 18
  38. 20
  39. 4
  40. 175

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