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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 847 · 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. 1.7 : 2 = 42 : ?
  2. 2.Divide ₹430 between Pooja and Rohan in the ratio 3 : 7. How much does Pooja get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  4. 4.Divide ₹506 between Tara and Kavya in the ratio 9 : 2. How much does Tara get (in ₹)?
  5. 5.Divide ₹259 between Saanvi and Vivaan in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  6. 6.5 : 12 = 10 : ?
  7. 7.Divide ₹63 between Saanvi and Vivaan in the ratio 4 : 3. How much does Vivaan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 6 : 1. There are 36 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
  11. 11.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  12. 12.10 : 4 = 80 : ?
  13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  14. 14.Divide ₹429 between Arjun and Tara in the ratio 8 : 3. How much does Arjun get (in ₹)?
  15. 15.Divide ₹280 between Manav and Sneha in the ratio 9 : 5. How much does Sneha get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  17. 17.Divide ₹385 between Aarav and Kabir in the ratio 9 : 2. How much does Aarav get (in ₹)?
  18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  19. 19.6 : 8 = 12 : ?
  20. 20.3 : 4 = 24 : ?
  21. 21.Divide ₹306 between Tara and Isha in the ratio 1 : 8. How much does Isha get (in ₹)?
  22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  23. 23.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
  24. 24.Divide ₹360 between Aditya and Diya in the ratio 1 : 8. How much does Diya get (in ₹)?
  25. 25.Divide ₹84 between Aarav and Kavya in the ratio 7 : 5. How much does Kavya get (in ₹)?
  26. 26.4 : 14 = 36 : ?
  27. 27.5 : 9 = 30 : ?
  28. 28.Divide ₹56 between Tara and Rohan in the ratio 3 : 5. How much does Tara get (in ₹)?
  29. 29.Divide ₹238 between Nisha and Pooja in the ratio 6 : 1. How much does Nisha get (in ₹)?
  30. 30.Divide ₹33 between Ananya and Meera in the ratio 1 : 2. How much does Ananya get (in ₹)?
  31. 31.11 : 5 = 99 : ?
  32. 32.Divide ₹60 between Priya and Dev in the ratio 5 : 1. How much does Priya get (in ₹)?
  33. 33.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  34. 34.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  35. 35.7 : 3 = 21 : ?
  36. 36.Divide ₹795 between Ishaan and Tara in the ratio 7 : 8. How much does Tara get (in ₹)?
  37. 37.Divide ₹672 between Rahul and Arjun in the ratio 7 : 9. How much does Rahul get (in ₹)?
  38. 38.Divide ₹767 between Rahul and Rohan in the ratio 5 : 8. How much does Rahul get (in ₹)?
  39. 39.Divide ₹33 between Saanvi and Aditya in the ratio 2 : 1. How much does Aditya get (in ₹)?
  40. 40.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).

Answer key

  1. 12
  2. 129
  3. 2
  4. 414
  5. 37
  6. 24
  7. 27
  8. 18
  9. 6
  10. 40
  11. 72
  12. 32
  13. 150
  14. 312
  15. 100
  16. 48
  17. 315
  18. 8
  19. 16
  20. 32
  21. 272
  22. 45
  23. 10
  24. 320
  25. 35
  26. 126
  27. 54
  28. 21
  29. 204
  30. 11
  31. 45
  32. 50
  33. 54
  34. 12
  35. 9
  36. 424
  37. 294
  38. 295
  39. 11
  40. 32

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