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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 115 · 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 ₹608 between Rohan and Arjun in the ratio 9 : 7. How much does Rohan get (in ₹)?
  2. 2.5 : 2 = 25 : ?
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  5. 5.3 : 5 = 9 : ?
  6. 6.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  7. 7.Divide ₹160 between Pooja and Ishaan in the ratio 9 : 7. How much does Pooja get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
  9. 9.Divide ₹310 between Rahul and Pooja in the ratio 3 : 7. How much does Pooja get (in ₹)?
  10. 10.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  11. 11.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  13. 13.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  14. 14.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  15. 15.Divide ₹78 between Meera and Priya in the ratio 6 : 7. How much does Meera get (in ₹)?
  16. 16.Divide ₹329 between Vivaan and Zoya in the ratio 5 : 2. How much does Vivaan get (in ₹)?
  17. 17.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  18. 18.Divide ₹96 between Ananya and Aarav in the ratio 7 : 5. How much does Aarav get (in ₹)?
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.Divide ₹330 between Isha and Meera in the ratio 5 : 6. How much does Isha get (in ₹)?
  21. 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  22. 22.Divide ₹650 between Ishaan and Arjun in the ratio 5 : 8. How much does Ishaan get (in ₹)?
  23. 23.Divide ₹105 between Farhan and Kavya in the ratio 7 : 8. How much does Kavya get (in ₹)?
  24. 24.2 : 13 = 18 : ?
  25. 25.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  27. 27.Divide ₹442 between Priya and Vivaan in the ratio 7 : 6. How much does Vivaan get (in ₹)?
  28. 28.8 : 5 = 48 : ?
  29. 29.6 : 15 = 30 : ?
  30. 30.Divide ₹300 between Manav and Pooja in the ratio 7 : 8. How much does Manav get (in ₹)?
  31. 31.Divide ₹180 between Kavya and Manav in the ratio 1 : 9. How much does Manav get (in ₹)?
  32. 32.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  33. 33.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  34. 34.Divide ₹637 between Aditya and Nisha in the ratio 9 : 4. How much does Nisha get (in ₹)?
  35. 35.Divide ₹273 between Zoya and Tara in the ratio 1 : 6. How much does Zoya get (in ₹)?
  36. 36.6 : 3 = 18 : ?
  37. 37.Divide ₹105 between Arjun and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  38. 38.2 : 4 = 4 : ?
  39. 39.4 : 7 = 16 : ?
  40. 40.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).

Answer key

  1. 342
  2. 10
  3. 28
  4. 72
  5. 15
  6. 2
  7. 90
  8. 24
  9. 217
  10. 96
  11. 10
  12. 7
  13. 72
  14. 20
  15. 36
  16. 235
  17. 20
  18. 40
  19. 48
  20. 150
  21. 175
  22. 250
  23. 56
  24. 117
  25. 45
  26. 50
  27. 204
  28. 30
  29. 75
  30. 140
  31. 162
  32. 112
  33. 75
  34. 196
  35. 39
  36. 9
  37. 84
  38. 8
  39. 28
  40. 225

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