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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 955 · 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 ₹84 between Zoya and Rohan in the ratio 7 : 5. How much does Zoya get (in ₹)?
  2. 2.Divide ₹70 between Kabir and Kavya in the ratio 3 : 4. How much does Kabir get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  5. 5.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  6. 6.Divide ₹176 between Rohan and Priya in the ratio 2 : 9. How much does Rohan get (in ₹)?
  7. 7.Divide ₹378 between Isha and Arjun in the ratio 9 : 5. How much does Isha get (in ₹)?
  8. 8.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  9. 9.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  10. 10.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  11. 11.Divide ₹234 between Manav and Kabir in the ratio 5 : 8. How much does Manav get (in ₹)?
  12. 12.Divide ₹477 between Manav and Kavya in the ratio 2 : 7. How much does Kavya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  14. 14.3 : 2 = 21 : ?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.Divide ₹392 between Zoya and Aarav in the ratio 5 : 3. How much does Zoya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  19. 19.Divide ₹192 between Rahul and Aditya in the ratio 5 : 7. How much does Aditya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
  21. 21.3 : 14 = 27 : ?
  22. 22.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  25. 25.Divide ₹147 between Pooja and Kabir in the ratio 4 : 3. How much does Pooja get (in ₹)?
  26. 26.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  27. 27.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  28. 28.Divide ₹60 between Kabir and Arjun in the ratio 3 : 1. How much does Kabir get (in ₹)?
  29. 29.Divide ₹189 between Manav and Pooja in the ratio 1 : 6. How much does Manav get (in ₹)?
  30. 30.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  31. 31.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  32. 32.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  33. 33.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  34. 34.Divide ₹833 between Aarav and Rohan in the ratio 8 : 9. How much does Rohan get (in ₹)?
  35. 35.9 : 6 = 36 : ?
  36. 36.Divide ₹90 between Tara and Vivaan in the ratio 5 : 4. How much does Vivaan get (in ₹)?
  37. 37.Divide ₹486 between Tara and Farhan in the ratio 1 : 8. How much does Tara get (in ₹)?
  38. 38.Divide ₹182 between Ananya and Aarav in the ratio 4 : 3. How much does Ananya get (in ₹)?
  39. 39.7 : 9 = 28 : ?
  40. 40.Divide ₹143 between Aarav and Ananya in the ratio 9 : 4. How much does Aarav get (in ₹)?

Answer key

  1. 49
  2. 30
  3. 2
  4. 75
  5. 100
  6. 32
  7. 243
  8. 36
  9. 10
  10. 64
  11. 90
  12. 371
  13. 7
  14. 14
  15. 32
  16. 245
  17. 27
  18. 28
  19. 112
  20. 27
  21. 126
  22. 20
  23. 4
  24. 12
  25. 84
  26. 128
  27. 24
  28. 45
  29. 27
  30. 125
  31. 32
  32. 48
  33. 144
  34. 441
  35. 24
  36. 40
  37. 54
  38. 104
  39. 36
  40. 99

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