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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 280 · 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 ₹242 between Ishaan and Rohan in the ratio 9 : 2. How much does Ishaan get (in ₹)?
  2. 2.Divide ₹420 between Karan and Sneha in the ratio 7 : 8. How much does Karan get (in ₹)?
  3. 3.Divide ₹300 between Rahul and Aditya in the ratio 3 : 7. How much does Rahul get (in ₹)?
  4. 4.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  5. 5.Divide ₹513 between Vivaan and Priya in the ratio 1 : 8. How much does Priya get (in ₹)?
  6. 6.Divide ₹143 between Tara and Ananya in the ratio 7 : 4. How much does Tara get (in ₹)?
  7. 7.12 : 6 = 84 : ?
  8. 8.2 : 9 = 10 : ?
  9. 9.Divide ₹208 between Ishaan and Arjun in the ratio 3 : 5. How much does Arjun get (in ₹)?
  10. 10.12 : 15 = 24 : ?
  11. 11.12 : 2 = 60 : ?
  12. 12.Divide ₹125 between Sneha and Tara in the ratio 2 : 3. How much does Sneha get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  14. 14.10 : 11 = 50 : ?
  15. 15.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  16. 16.4 : 15 = 36 : ?
  17. 17.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  18. 18.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.Divide ₹585 between Kavya and Arjun in the ratio 7 : 8. How much does Arjun get (in ₹)?
  22. 22.Divide ₹368 between Karan and Manav in the ratio 5 : 3. How much does Karan get (in ₹)?
  23. 23.10 : 7 = 20 : ?
  24. 24.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  25. 25.Divide ₹473 between Ananya and Ishaan in the ratio 4 : 7. How much does Ananya get (in ₹)?
  26. 26.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  27. 27.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  28. 28.Divide ₹315 between Ananya and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
  29. 29.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  30. 30.Divide ₹80 between Aarav and Zoya in the ratio 1 : 3. How much does Zoya get (in ₹)?
  31. 31.7 : 15 = 35 : ?
  32. 32.Divide ₹616 between Arjun and Nisha in the ratio 5 : 6. How much does Arjun get (in ₹)?
  33. 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  34. 34.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  35. 35.11 : 7 = 99 : ?
  36. 36.8 : 12 = 24 : ?
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  39. 39.Divide ₹506 between Rohan and Ananya in the ratio 3 : 8. How much does Rohan get (in ₹)?
  40. 40.Divide ₹198 between Ishaan and Ananya in the ratio 8 : 1. How much does Ishaan get (in ₹)?

Answer key

  1. 198
  2. 196
  3. 90
  4. 100
  5. 456
  6. 91
  7. 42
  8. 45
  9. 130
  10. 30
  11. 10
  12. 50
  13. 12
  14. 55
  15. 36
  16. 135
  17. 225
  18. 40
  19. 27
  20. 24
  21. 312
  22. 230
  23. 14
  24. 6
  25. 172
  26. 125
  27. 175
  28. 225
  29. 72
  30. 60
  31. 75
  32. 280
  33. 50
  34. 5
  35. 63
  36. 36
  37. 18
  38. 16
  39. 138
  40. 176

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