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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 450 · 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).

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  1. 1.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.Divide ₹360 between Dev and Ishaan in the ratio 1 : 9. How much does Dev get (in ₹)?
  4. 4.6 : 7 = 36 : ?
  5. 5.Divide ₹300 between Diya and Vivaan in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  6. 6.3 : 13 = 9 : ?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  9. 9.Divide ₹306 between Arjun and Rahul in the ratio 9 : 8. How much does Rahul get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  11. 11.Divide ₹435 between Rohan and Ananya in the ratio 7 : 8. How much does Ananya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 9 : 5. There are 36 boys. How many girls are there?
  13. 13.Divide ₹220 between Isha and Dev in the ratio 4 : 7. How much does Isha get (in ₹)?
  14. 14.Divide ₹264 between Rahul and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
  15. 15.5 : 10 = 25 : ?
  16. 16.Divide ₹442 between Saanvi and Zoya in the ratio 8 : 9. How much does Zoya get (in ₹)?
  17. 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  19. 19.2 : 9 = 4 : ?
  20. 20.Divide ₹357 between Zoya and Isha in the ratio 8 : 9. How much does Isha get (in ₹)?
  21. 21.7 : 12 = 49 : ?
  22. 22.6 : 15 = 30 : ?
  23. 23.The ratio of boys to girls in a class is 3 : 4. There are 30 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  27. 27.Divide ₹297 between Aarav and Isha in the ratio 5 : 6. How much does Isha get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  31. 31.11 : 13 = 99 : ?
  32. 32.9 : 10 = 63 : ?
  33. 33.8 : 11 = 40 : ?
  34. 34.Divide ₹171 between Aditya and Meera in the ratio 8 : 1. How much does Meera get (in ₹)?
  35. 35.8 : 12 = 32 : ?
  36. 36.Divide ₹57 between Diya and Aditya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  37. 37.2 : 14 = 18 : ?
  38. 38.Divide ₹104 between Saanvi and Pooja in the ratio 3 : 5. How much does Pooja get (in ₹)?
  39. 39.12 : 13 = 48 : ?
  40. 40.5 : 8 = 45 : ?

Answer key

  1. 32
  2. 20
  3. 36
  4. 42
  5. 50
  6. 39
  7. 8
  8. 200
  9. 144
  10. 45
  11. 232
  12. 20
  13. 80
  14. 44
  15. 50
  16. 234
  17. 50
  18. 28
  19. 18
  20. 189
  21. 84
  22. 75
  23. 40
  24. 14
  25. 63
  26. 28
  27. 162
  28. 21
  29. 7
  30. 24
  31. 117
  32. 70
  33. 55
  34. 19
  35. 48
  36. 38
  37. 126
  38. 65
  39. 52
  40. 72

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