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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 140 · 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.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  2. 2.Divide ₹406 between Kabir and Sneha in the ratio 6 : 1. How much does Kabir get (in ₹)?
  3. 3.12 : 2 = 72 : ?
  4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  5. 5.Divide ₹273 between Saanvi and Kavya in the ratio 5 : 8. How much does Saanvi get (in ₹)?
  6. 6.10 : 3 = 90 : ?
  7. 7.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  9. 9.2 : 3 = 16 : ?
  10. 10.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  11. 11.5 : 9 = 20 : ?
  12. 12.Divide ₹416 between Rohan and Aarav in the ratio 3 : 5. How much does Aarav get (in ₹)?
  13. 13.7 : 11 = 42 : ?
  14. 14.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  15. 15.Divide ₹160 between Priya and Isha in the ratio 1 : 3. How much does Priya get (in ₹)?
  16. 16.Divide ₹35 between Farhan and Ananya in the ratio 3 : 2. How much does Ananya get (in ₹)?
  17. 17.Divide ₹405 between Saanvi and Arjun in the ratio 8 : 1. How much does Saanvi get (in ₹)?
  18. 18.Divide ₹329 between Meera and Diya in the ratio 4 : 3. How much does Meera get (in ₹)?
  19. 19.12 : 3 = 24 : ?
  20. 20.Divide ₹468 between Ishaan and Meera in the ratio 9 : 4. How much does Ishaan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  22. 22.Divide ₹324 between Arjun and Ishaan in the ratio 7 : 2. How much does Arjun get (in ₹)?
  23. 23.Divide ₹147 between Rahul and Arjun in the ratio 2 : 1. How much does Rahul get (in ₹)?
  24. 24.Divide ₹715 between Rohan and Pooja in the ratio 9 : 4. How much does Rohan get (in ₹)?
  25. 25.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  26. 26.2 : 14 = 18 : ?
  27. 27.11 : 10 = 99 : ?
  28. 28.Divide ₹235 between Kabir and Ananya in the ratio 1 : 4. How much does Kabir get (in ₹)?
  29. 29.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  30. 30.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  31. 31.8 : 13 = 16 : ?
  32. 32.7 : 6 = 56 : ?
  33. 33.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  34. 34.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  35. 35.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  36. 36.Divide ₹24 between Ishaan and Rohan in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  37. 37.6 : 7 = 48 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  40. 40.Divide ₹490 between Diya and Tara in the ratio 9 : 1. How much does Diya get (in ₹)?

Answer key

  1. 20
  2. 348
  3. 12
  4. 54
  5. 105
  6. 27
  7. 8
  8. 45
  9. 24
  10. 32
  11. 36
  12. 260
  13. 66
  14. 18
  15. 40
  16. 14
  17. 360
  18. 188
  19. 6
  20. 324
  21. 25
  22. 252
  23. 98
  24. 495
  25. 144
  26. 126
  27. 90
  28. 47
  29. 12
  30. 21
  31. 26
  32. 48
  33. 125
  34. 36
  35. 28
  36. 6
  37. 56
  38. 2
  39. 18
  40. 441

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