← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 228 · 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.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  2. 2.4 : 15 = 28 : ?
  3. 3.Divide ₹416 between Arjun and Dev in the ratio 4 : 9. How much does Dev get (in ₹)?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.Divide ₹186 between Priya and Rahul in the ratio 5 : 1. How much does Priya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  7. 7.10 : 6 = 90 : ?
  8. 8.Divide ₹252 between Vivaan and Rahul in the ratio 1 : 6. How much does Rahul get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  10. 10.Divide ₹420 between Manav and Kabir in the ratio 8 : 7. How much does Manav get (in ₹)?
  11. 11.Divide ₹217 between Dev and Isha in the ratio 4 : 3. How much does Dev get (in ₹)?
  12. 12.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  14. 14.Divide ₹81 between Saanvi and Kabir in the ratio 4 : 5. How much does Saanvi get (in ₹)?
  15. 15.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  16. 16.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  17. 17.4 : 9 = 28 : ?
  18. 18.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  19. 19.12 : 6 = 60 : ?
  20. 20.Divide ₹140 between Karan and Aarav in the ratio 3 : 2. How much does Karan get (in ₹)?
  21. 21.Divide ₹189 between Tara and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?
  22. 22.Divide ₹663 between Sneha and Priya in the ratio 6 : 7. How much does Sneha get (in ₹)?
  23. 23.6 : 10 = 24 : ?
  24. 24.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  25. 25.4 : 3 = 28 : ?
  26. 26.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  29. 29.9 : 15 = 45 : ?
  30. 30.Divide ₹456 between Arjun and Isha in the ratio 5 : 3. How much does Isha get (in ₹)?
  31. 31.Divide ₹68 between Sneha and Rahul in the ratio 3 : 1. How much does Sneha get (in ₹)?
  32. 32.Divide ₹242 between Farhan and Priya in the ratio 8 : 3. How much does Farhan get (in ₹)?
  33. 33.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  34. 34.Divide ₹357 between Kabir and Saanvi in the ratio 5 : 2. How much does Kabir get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  36. 36.11 : 13 = 55 : ?
  37. 37.Divide ₹598 between Zoya and Aarav in the ratio 9 : 4. How much does Aarav get (in ₹)?
  38. 38.Divide ₹55 between Meera and Nisha in the ratio 8 : 3. How much does Meera get (in ₹)?
  39. 39.6 : 10 = 48 : ?
  40. 40.7 : 3 = 63 : ?

Answer key

  1. 175
  2. 105
  3. 288
  4. 8
  5. 155
  6. 4
  7. 54
  8. 216
  9. 27
  10. 224
  11. 124
  12. 32
  13. 28
  14. 36
  15. 50
  16. 54
  17. 63
  18. 225
  19. 30
  20. 84
  21. 135
  22. 306
  23. 40
  24. 24
  25. 21
  26. 21
  27. 40
  28. 9
  29. 75
  30. 171
  31. 51
  32. 176
  33. 63
  34. 255
  35. 8
  36. 65
  37. 184
  38. 40
  39. 80
  40. 27

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude