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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 877 · 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 7 : 9. There are 63 boys. How many girls are there?
  2. 2.12 : 6 = 72 : ?
  3. 3.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
  5. 5.3 : 10 = 24 : ?
  6. 6.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  7. 7.2 : 9 = 14 : ?
  8. 8.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  10. 10.6 : 11 = 18 : ?
  11. 11.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  12. 12.9 : 7 = 45 : ?
  13. 13.Divide ₹282 between Arjun and Saanvi in the ratio 5 : 1. How much does Arjun get (in ₹)?
  14. 14.Divide ₹99 between Diya and Ananya in the ratio 8 : 1. How much does Diya get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  16. 16.Divide ₹528 between Ananya and Arjun in the ratio 6 : 5. How much does Arjun get (in ₹)?
  17. 17.Divide ₹130 between Priya and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
  20. 20.Divide ₹176 between Rohan and Diya in the ratio 8 : 3. How much does Diya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  22. 22.Divide ₹364 between Pooja and Diya in the ratio 8 : 5. How much does Pooja get (in ₹)?
  23. 23.Divide ₹442 between Ishaan and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
  24. 24.11 : 9 = 55 : ?
  25. 25.Divide ₹40 between Saanvi and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  26. 26.Divide ₹190 between Farhan and Kabir in the ratio 3 : 7. How much does Kabir get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  28. 28.Divide ₹297 between Tara and Priya in the ratio 7 : 4. How much does Priya get (in ₹)?
  29. 29.6 : 3 = 42 : ?
  30. 30.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  31. 31.Divide ₹288 between Rohan and Rahul in the ratio 1 : 8. How much does Rohan get (in ₹)?
  32. 32.4 : 3 = 16 : ?
  33. 33.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
  35. 35.Divide ₹72 between Farhan and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?
  36. 36.Divide ₹396 between Isha and Diya in the ratio 5 : 4. How much does Isha get (in ₹)?
  37. 37.3 : 14 = 27 : ?
  38. 38.Divide ₹456 between Kavya and Ishaan in the ratio 7 : 5. How much does Ishaan get (in ₹)?
  39. 39.Divide ₹72 between Priya and Rahul in the ratio 7 : 1. How much does Priya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?

Answer key

  1. 81
  2. 36
  3. 2
  4. 10
  5. 80
  6. 32
  7. 63
  8. 24
  9. 75
  10. 33
  11. 8
  12. 35
  13. 235
  14. 88
  15. 63
  16. 240
  17. 91
  18. 27
  19. 12
  20. 48
  21. 8
  22. 224
  23. 170
  24. 45
  25. 32
  26. 133
  27. 14
  28. 108
  29. 21
  30. 6
  31. 32
  32. 12
  33. 27
  34. 21
  35. 24
  36. 220
  37. 126
  38. 190
  39. 63
  40. 21

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