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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 176 · 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 ₹513 between Kabir and Zoya in the ratio 2 : 7. How much does Zoya get (in ₹)?
  2. 2.7 : 6 = 28 : ?
  3. 3.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 2 : 1. There are 14 boys. How many girls are there?
  6. 6.Divide ₹416 between Ananya and Saanvi in the ratio 7 : 1. How much does Ananya get (in ₹)?
  7. 7.3 : 2 = 24 : ?
  8. 8.Divide ₹286 between Saanvi and Tara in the ratio 8 : 3. How much does Saanvi get (in ₹)?
  9. 9.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  10. 10.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  11. 11.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  12. 12.Divide ₹50 between Manav and Zoya in the ratio 7 : 3. How much does Manav get (in ₹)?
  13. 13.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  14. 14.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  15. 15.9 : 13 = 72 : ?
  16. 16.Divide ₹559 between Priya and Tara in the ratio 8 : 5. How much does Priya get (in ₹)?
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  19. 19.5 : 15 = 30 : ?
  20. 20.3 : 4 = 6 : ?
  21. 21.Divide ₹55 between Farhan and Meera in the ratio 8 : 3. How much does Meera get (in ₹)?
  22. 22.Divide ₹494 between Kavya and Sneha in the ratio 4 : 9. How much does Kavya get (in ₹)?
  23. 23.Divide ₹120 between Rahul and Saanvi in the ratio 7 : 8. How much does Rahul get (in ₹)?
  24. 24.11 : 13 = 88 : ?
  25. 25.9 : 4 = 54 : ?
  26. 26.Divide ₹266 between Rohan and Vivaan in the ratio 5 : 9. How much does Vivaan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
  28. 28.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  29. 29.Divide ₹33 between Aarav and Manav in the ratio 1 : 2. How much does Manav get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  31. 31.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  32. 32.Divide ₹440 between Isha and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  33. 33.6 : 3 = 54 : ?
  34. 34.4 : 13 = 16 : ?
  35. 35.5 : 8 = 40 : ?
  36. 36.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  38. 38.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  39. 39.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  40. 40.Divide ₹126 between Rohan and Rahul in the ratio 8 : 1. How much does Rohan get (in ₹)?

Answer key

  1. 399
  2. 24
  3. 18
  4. 70
  5. 7
  6. 364
  7. 16
  8. 208
  9. 64
  10. 28
  11. 40
  12. 35
  13. 18
  14. 56
  15. 104
  16. 344
  17. 200
  18. 4
  19. 90
  20. 8
  21. 15
  22. 152
  23. 56
  24. 104
  25. 24
  26. 171
  27. 24
  28. 8
  29. 22
  30. 14
  31. 32
  32. 132
  33. 27
  34. 52
  35. 64
  36. 35
  37. 6
  38. 50
  39. 45
  40. 112

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