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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 501 · 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 ₹35 between Manav and Arjun in the ratio 3 : 2. How much does Arjun get (in ₹)?
  2. 2.Divide ₹700 between Ishaan and Kavya in the ratio 5 : 9. How much does Ishaan get (in ₹)?
  3. 3.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  4. 4.5 : 9 = 35 : ?
  5. 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  6. 6.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  7. 7.5 : 2 = 40 : ?
  8. 8.Divide ₹630 between Rohan and Tara in the ratio 9 : 5. How much does Rohan get (in ₹)?
  9. 9.Divide ₹60 between Aarav and Meera in the ratio 1 : 3. How much does Meera get (in ₹)?
  10. 10.8 : 12 = 40 : ?
  11. 11.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  12. 12.4 : 15 = 8 : ?
  13. 13.7 : 8 = 28 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  15. 15.Divide ₹90 between Karan and Meera in the ratio 7 : 2. How much does Meera get (in ₹)?
  16. 16.Divide ₹468 between Priya and Diya in the ratio 4 : 5. How much does Priya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  18. 18.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  19. 19.Divide ₹259 between Rahul and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  21. 21.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  22. 22.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  23. 23.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  24. 24.12 : 3 = 36 : ?
  25. 25.2 : 11 = 8 : ?
  26. 26.Divide ₹343 between Meera and Saanvi in the ratio 2 : 5. How much does Saanvi get (in ₹)?
  27. 27.11 : 7 = 55 : ?
  28. 28.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  29. 29.Divide ₹270 between Pooja and Dev in the ratio 1 : 4. How much does Pooja get (in ₹)?
  30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  31. 31.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  32. 32.Divide ₹176 between Diya and Isha in the ratio 1 : 3. How much does Isha get (in ₹)?
  33. 33.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  34. 34.Divide ₹99 between Nisha and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  35. 35.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  36. 36.The ratio of boys to girls in a class is 9 : 7. There are 81 boys. How many girls are there?
  37. 37.Divide ₹159 between Dev and Kavya in the ratio 1 : 2. How much does Dev get (in ₹)?
  38. 38.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  39. 39.Divide ₹420 between Tara and Meera in the ratio 8 : 7. How much does Meera get (in ₹)?
  40. 40.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).

Answer key

  1. 14
  2. 250
  3. 175
  4. 63
  5. 48
  6. 32
  7. 16
  8. 405
  9. 45
  10. 60
  11. 28
  12. 30
  13. 32
  14. 28
  15. 20
  16. 208
  17. 81
  18. 150
  19. 185
  20. 4
  21. 16
  22. 28
  23. 20
  24. 9
  25. 44
  26. 245
  27. 35
  28. 144
  29. 54
  30. 63
  31. 16
  32. 132
  33. 18
  34. 66
  35. 128
  36. 63
  37. 53
  38. 36
  39. 196
  40. 8

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