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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 565 · 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.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  3. 3.5 : 2 = 20 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  5. 5.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  6. 6.Divide ₹192 between Nisha and Rahul in the ratio 9 : 7. How much does Rahul get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  8. 8.Divide ₹540 between Nisha and Saanvi in the ratio 3 : 7. How much does Saanvi get (in ₹)?
  9. 9.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  10. 10.11 : 6 = 77 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  14. 14.Divide ₹24 between Manav and Kabir in the ratio 3 : 1. How much does Kabir get (in ₹)?
  15. 15.7 : 13 = 14 : ?
  16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  17. 17.2 : 6 = 12 : ?
  18. 18.Divide ₹935 between Arjun and Kavya in the ratio 9 : 8. How much does Kavya get (in ₹)?
  19. 19.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  20. 20.The ratio of boys to girls in a class is 1 : 5. There are 4 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 2 : 5. There are 14 boys. How many girls are there?
  23. 23.Divide ₹240 between Zoya and Aarav in the ratio 7 : 1. How much does Zoya get (in ₹)?
  24. 24.11 : 8 = 33 : ?
  25. 25.Divide ₹473 between Meera and Tara in the ratio 6 : 5. How much does Meera get (in ₹)?
  26. 26.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  28. 28.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  29. 29.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  30. 30.2 : 8 = 8 : ?
  31. 31.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  32. 32.Divide ₹224 between Diya and Vivaan in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  33. 33.Divide ₹210 between Meera and Kabir in the ratio 5 : 2. How much does Kabir get (in ₹)?
  34. 34.Divide ₹285 between Farhan and Zoya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  35. 35.4 : 12 = 20 : ?
  36. 36.3 : 8 = 27 : ?
  37. 37.3 : 8 = 6 : ?
  38. 38.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  39. 39.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  40. 40.Divide ₹416 between Kabir and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?

Answer key

  1. 10
  2. 6
  3. 8
  4. 30
  5. 27
  6. 84
  7. 7
  8. 378
  9. 20
  10. 42
  11. 36
  12. 12
  13. 60
  14. 6
  15. 26
  16. 100
  17. 36
  18. 440
  19. 28
  20. 20
  21. 16
  22. 35
  23. 210
  24. 24
  25. 258
  26. 125
  27. 64
  28. 112
  29. 54
  30. 32
  31. 24
  32. 168
  33. 60
  34. 228
  35. 60
  36. 72
  37. 16
  38. 80
  39. 2
  40. 288

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