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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 689 · 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. 1.12 : 2 = 24 : ?
  2. 2.Divide ₹48 between Karan and Tara in the ratio 1 : 3. How much does Karan get (in ₹)?
  3. 3.10 : 6 = 30 : ?
  4. 4.Divide ₹129 between Rahul and Aditya in the ratio 1 : 2. How much does Rahul get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  8. 8.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  9. 9.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  11. 11.Divide ₹285 between Ishaan and Saanvi in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  12. 12.Divide ₹432 between Karan and Kavya in the ratio 4 : 5. How much does Karan get (in ₹)?
  13. 13.Divide ₹530 between Tara and Meera in the ratio 9 : 1. How much does Tara get (in ₹)?
  14. 14.2 : 3 = 18 : ?
  15. 15.Divide ₹495 between Farhan and Diya in the ratio 5 : 4. How much does Diya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  17. 17.Divide ₹154 between Arjun and Tara in the ratio 5 : 6. How much does Tara get (in ₹)?
  18. 18.9 : 3 = 45 : ?
  19. 19.2 : 8 = 12 : ?
  20. 20.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  22. 22.Divide ₹406 between Diya and Nisha in the ratio 3 : 4. How much does Diya get (in ₹)?
  23. 23.Divide ₹638 between Farhan and Pooja in the ratio 5 : 6. How much does Pooja get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  25. 25.6 : 5 = 24 : ?
  26. 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  27. 27.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  29. 29.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  30. 30.12 : 11 = 72 : ?
  31. 31.Divide ₹242 between Dev and Rohan in the ratio 2 : 9. How much does Rohan get (in ₹)?
  32. 32.4 : 12 = 36 : ?
  33. 33.2 : 8 = 16 : ?
  34. 34.Divide ₹88 between Farhan and Tara in the ratio 7 : 1. How much does Tara get (in ₹)?
  35. 35.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  36. 36.Divide ₹336 between Karan and Saanvi in the ratio 9 : 7. How much does Karan get (in ₹)?
  37. 37.Divide ₹442 between Zoya and Ananya in the ratio 8 : 5. How much does Ananya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  39. 39.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  40. 40.Divide ₹351 between Zoya and Isha in the ratio 2 : 7. How much does Zoya get (in ₹)?

Answer key

  1. 4
  2. 12
  3. 18
  4. 43
  5. 12
  6. 28
  7. 12
  8. 36
  9. 150
  10. 24
  11. 171
  12. 192
  13. 477
  14. 27
  15. 220
  16. 20
  17. 84
  18. 15
  19. 48
  20. 56
  21. 4
  22. 174
  23. 348
  24. 14
  25. 20
  26. 27
  27. 6
  28. 63
  29. 144
  30. 66
  31. 198
  32. 108
  33. 64
  34. 11
  35. 32
  36. 189
  37. 170
  38. 12
  39. 48
  40. 78

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