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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 566 · 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. 1.5 : 6 = 15 : ?
  2. 2.10 : 11 = 20 : ?
  3. 3.12 : 2 = 24 : ?
  4. 4.Divide ₹28 between Priya and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
  5. 5.Divide ₹684 between Manav and Isha in the ratio 5 : 7. How much does Isha get (in ₹)?
  6. 6.Divide ₹220 between Arjun and Priya in the ratio 3 : 1. How much does Arjun get (in ₹)?
  7. 7.Divide ₹140 between Isha and Priya in the ratio 1 : 9. How much does Isha get (in ₹)?
  8. 8.Divide ₹25 between Arjun and Sneha in the ratio 2 : 3. How much does Arjun get (in ₹)?
  9. 9.Divide ₹98 between Meera and Aarav in the ratio 2 : 5. How much does Meera get (in ₹)?
  10. 10.Divide ₹81 between Nisha and Isha in the ratio 4 : 5. How much does Isha get (in ₹)?
  11. 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  12. 12.Divide ₹735 between Nisha and Manav in the ratio 7 : 8. How much does Nisha get (in ₹)?
  13. 13.Divide ₹115 between Farhan and Karan in the ratio 2 : 3. How much does Karan get (in ₹)?
  14. 14.Divide ₹720 between Kavya and Diya in the ratio 8 : 7. How much does Kavya get (in ₹)?
  15. 15.Divide ₹315 between Sneha and Kavya in the ratio 1 : 6. How much does Sneha get (in ₹)?
  16. 16.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  17. 17.Divide ₹297 between Aarav and Nisha in the ratio 6 : 5. How much does Nisha get (in ₹)?
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  20. 20.Divide ₹108 between Dev and Farhan in the ratio 2 : 1. How much does Dev get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  22. 22.Divide ₹264 between Sneha and Zoya in the ratio 1 : 5. How much does Sneha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  24. 24.Divide ₹748 between Manav and Arjun in the ratio 8 : 9. How much does Manav get (in ₹)?
  25. 25.Divide ₹369 between Vivaan and Ananya in the ratio 2 : 7. How much does Ananya get (in ₹)?
  26. 26.8 : 11 = 48 : ?
  27. 27.Divide ₹119 between Rahul and Saanvi in the ratio 9 : 8. How much does Saanvi get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  29. 29.9 : 15 = 72 : ?
  30. 30.6 : 12 = 12 : ?
  31. 31.Divide ₹90 between Dev and Tara in the ratio 9 : 1. How much does Tara get (in ₹)?
  32. 32.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  33. 33.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  35. 35.12 : 2 = 60 : ?
  36. 36.12 : 9 = 96 : ?
  37. 37.Divide ₹260 between Karan and Kavya in the ratio 3 : 2. How much does Karan get (in ₹)?
  38. 38.Divide ₹350 between Vivaan and Rohan in the ratio 7 : 3. How much does Rohan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  40. 40.7 : 8 = 63 : ?

Answer key

  1. 18
  2. 22
  3. 4
  4. 7
  5. 399
  6. 165
  7. 14
  8. 10
  9. 28
  10. 45
  11. 32
  12. 343
  13. 69
  14. 384
  15. 45
  16. 20
  17. 135
  18. 8
  19. 18
  20. 72
  21. 24
  22. 44
  23. 3
  24. 352
  25. 287
  26. 66
  27. 56
  28. 12
  29. 120
  30. 24
  31. 9
  32. 150
  33. 72
  34. 25
  35. 10
  36. 72
  37. 156
  38. 105
  39. 45
  40. 72

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