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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 434 · 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.The ratio of boys to girls in a class is 9 : 5. There are 45 boys. How many girls are there?
  2. 2.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  3. 3.Divide ₹385 between Isha and Saanvi in the ratio 2 : 5. How much does Isha get (in ₹)?
  4. 4.Divide ₹212 between Diya and Manav in the ratio 1 : 3. How much does Diya get (in ₹)?
  5. 5.6 : 11 = 18 : ?
  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 5 : 1. There are 50 boys. How many girls are there?
  8. 8.Divide ₹640 between Ishaan and Zoya in the ratio 9 : 7. How much does Zoya get (in ₹)?
  9. 9.Divide ₹50 between Rohan and Isha in the ratio 3 : 2. How much does Rohan get (in ₹)?
  10. 10.4 : 15 = 32 : ?
  11. 11.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  12. 12.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  13. 13.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  14. 14.Divide ₹832 between Kabir and Nisha in the ratio 7 : 9. How much does Nisha get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  16. 16.Divide ₹112 between Zoya and Rohan in the ratio 5 : 3. How much does Rohan get (in ₹)?
  17. 17.5 : 2 = 45 : ?
  18. 18.Divide ₹570 between Rohan and Kabir in the ratio 7 : 3. How much does Kabir get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
  20. 20.Divide ₹176 between Manav and Priya in the ratio 3 : 8. How much does Manav get (in ₹)?
  21. 21.Divide ₹600 between Rohan and Pooja in the ratio 8 : 7. How much does Pooja get (in ₹)?
  22. 22.Divide ₹352 between Kavya and Kabir in the ratio 5 : 3. How much does Kavya get (in ₹)?
  23. 23.Divide ₹260 between Kabir and Nisha in the ratio 6 : 7. How much does Nisha get (in ₹)?
  24. 24.Divide ₹299 between Ananya and Diya in the ratio 9 : 4. How much does Ananya get (in ₹)?
  25. 25.Divide ₹418 between Aditya and Priya in the ratio 5 : 6. How much does Aditya get (in ₹)?
  26. 26.4 : 15 = 12 : ?
  27. 27.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
  28. 28.Divide ₹261 between Tara and Ishaan in the ratio 5 : 4. How much does Ishaan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  33. 33.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  34. 34.Divide ₹99 between Aarav and Diya in the ratio 8 : 3. How much does Diya get (in ₹)?
  35. 35.10 : 9 = 80 : ?
  36. 36.Divide ₹588 between Pooja and Arjun in the ratio 7 : 5. How much does Arjun get (in ₹)?
  37. 37.Divide ₹217 between Ananya and Kabir in the ratio 3 : 4. How much does Ananya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  39. 39.Divide ₹351 between Pooja and Meera in the ratio 2 : 7. How much does Meera get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?

Answer key

  1. 25
  2. 27
  3. 110
  4. 53
  5. 33
  6. 18
  7. 10
  8. 280
  9. 30
  10. 120
  11. 45
  12. 42
  13. 36
  14. 468
  15. 8
  16. 42
  17. 18
  18. 171
  19. 15
  20. 48
  21. 280
  22. 220
  23. 140
  24. 207
  25. 190
  26. 45
  27. 10
  28. 116
  29. 4
  30. 24
  31. 21
  32. 70
  33. 112
  34. 27
  35. 72
  36. 245
  37. 93
  38. 15
  39. 273
  40. 49

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