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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 85 · 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. 1.12 : 9 = 24 : ?
  2. 2.Divide ₹144 between Ishaan and Manav in the ratio 5 : 3. How much does Manav get (in ₹)?
  3. 3.3 : 11 = 6 : ?
  4. 4.7 : 2 = 63 : ?
  5. 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  8. 8.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  9. 9.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  10. 10.Divide ₹18 between Saanvi and Kabir in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  11. 11.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  12. 12.11 : 4 = 66 : ?
  13. 13.Divide ₹72 between Meera and Karan in the ratio 1 : 3. How much does Meera get (in ₹)?
  14. 14.10 : 2 = 20 : ?
  15. 15.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  16. 16.Divide ₹280 between Isha and Diya in the ratio 4 : 1. How much does Isha get (in ₹)?
  17. 17.Divide ₹605 between Dev and Ananya in the ratio 8 : 3. How much does Ananya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  21. 21.3 : 14 = 12 : ?
  22. 22.Divide ₹250 between Ishaan and Pooja in the ratio 3 : 7. How much does Pooja get (in ₹)?
  23. 23.Divide ₹315 between Rahul and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
  24. 24.3 : 4 = 15 : ?
  25. 25.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  27. 27.Divide ₹396 between Kabir and Kavya in the ratio 2 : 9. How much does Kavya get (in ₹)?
  28. 28.Divide ₹63 between Saanvi and Aditya in the ratio 2 : 7. How much does Saanvi get (in ₹)?
  29. 29.3 : 13 = 24 : ?
  30. 30.2 : 11 = 14 : ?
  31. 31.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  33. 33.7 : 5 = 28 : ?
  34. 34.Divide ₹364 between Vivaan and Kabir in the ratio 5 : 2. How much does Vivaan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 4 : 7. There are 12 boys. How many girls are there?
  36. 36.Divide ₹55 between Priya and Aditya in the ratio 7 : 4. How much does Priya get (in ₹)?
  37. 37.9 : 5 = 18 : ?
  38. 38.Divide ₹490 between Pooja and Vivaan in the ratio 5 : 9. How much does Vivaan get (in ₹)?
  39. 39.6 : 3 = 24 : ?
  40. 40.Divide ₹72 between Farhan and Nisha in the ratio 5 : 3. How much does Farhan get (in ₹)?

Answer key

  1. 18
  2. 54
  3. 22
  4. 18
  5. 63
  6. 18
  7. 14
  8. 16
  9. 3
  10. 6
  11. 200
  12. 24
  13. 18
  14. 4
  15. 48
  16. 224
  17. 165
  18. 36
  19. 175
  20. 144
  21. 56
  22. 175
  23. 45
  24. 20
  25. 15
  26. 36
  27. 324
  28. 14
  29. 104
  30. 77
  31. 72
  32. 24
  33. 20
  34. 260
  35. 21
  36. 35
  37. 10
  38. 315
  39. 12
  40. 45

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