← Ratio and proportion lesson New set →

Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 629 · 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 ₹378 between Kabir and Diya in the ratio 5 : 2. How much does Diya get (in ₹)?
  2. 2.Divide ₹104 between Rahul and Ananya in the ratio 7 : 1. How much does Rahul get (in ₹)?
  3. 3.Divide ₹64 between Aarav and Ishaan in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  4. 4.Divide ₹72 between Ananya and Diya in the ratio 1 : 3. How much does Diya get (in ₹)?
  5. 5.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  6. 6.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  7. 7.2 : 3 = 14 : ?
  8. 8.The ratio of boys to girls in a class is 7 : 9. There are 42 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 9 : 4. There are 27 boys. How many girls are there?
  10. 10.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  11. 11.4 : 14 = 32 : ?
  12. 12.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  13. 13.Divide ₹240 between Diya and Ananya in the ratio 7 : 8. How much does Diya get (in ₹)?
  14. 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  15. 15.Divide ₹68 between Rohan and Aditya in the ratio 1 : 3. How much does Rohan get (in ₹)?
  16. 16.5 : 12 = 25 : ?
  17. 17.Divide ₹408 between Rohan and Zoya in the ratio 5 : 3. How much does Rohan get (in ₹)?
  18. 18.6 : 10 = 12 : ?
  19. 19.Divide ₹585 between Karan and Dev in the ratio 5 : 8. How much does Karan get (in ₹)?
  20. 20.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  21. 21.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  22. 22.Divide ₹308 between Ishaan and Ananya in the ratio 6 : 5. How much does Ishaan get (in ₹)?
  23. 23.Divide ₹464 between Sneha and Ishaan in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  24. 24.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  25. 25.Divide ₹54 between Diya and Isha in the ratio 5 : 1. How much does Isha get (in ₹)?
  26. 26.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  27. 27.Divide ₹42 between Tara and Farhan in the ratio 5 : 1. How much does Tara get (in ₹)?
  28. 28.Divide ₹550 between Rahul and Arjun in the ratio 5 : 6. How much does Arjun get (in ₹)?
  29. 29.Divide ₹207 between Rohan and Nisha in the ratio 7 : 2. How much does Rohan get (in ₹)?
  30. 30.Divide ₹225 between Manav and Diya in the ratio 5 : 4. How much does Manav get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
  34. 34.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  35. 35.11 : 8 = 22 : ?
  36. 36.Divide ₹357 between Nisha and Aarav in the ratio 6 : 1. How much does Nisha get (in ₹)?
  37. 37.9 : 5 = 45 : ?
  38. 38.Divide ₹544 between Aarav and Saanvi in the ratio 9 : 7. How much does Saanvi get (in ₹)?
  39. 39.5 : 2 = 30 : ?
  40. 40.6 : 3 = 18 : ?

Answer key

  1. 108
  2. 91
  3. 48
  4. 54
  5. 32
  6. 28
  7. 21
  8. 54
  9. 12
  10. 36
  11. 112
  12. 144
  13. 112
  14. 64
  15. 17
  16. 60
  17. 255
  18. 20
  19. 225
  20. 175
  21. 28
  22. 168
  23. 203
  24. 112
  25. 9
  26. 81
  27. 35
  28. 300
  29. 161
  30. 125
  31. 4
  32. 24
  33. 24
  34. 32
  35. 16
  36. 306
  37. 25
  38. 238
  39. 12
  40. 9

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