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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 828 · 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.Divide ₹135 between Saanvi and Manav in the ratio 8 : 1. How much does Manav get (in ₹)?
  2. 2.10 : 8 = 40 : ?
  3. 3.Divide ₹195 between Isha and Karan in the ratio 8 : 7. How much does Isha get (in ₹)?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  6. 6.Divide ₹741 between Ishaan and Arjun in the ratio 9 : 4. How much does Arjun get (in ₹)?
  7. 7.6 : 15 = 24 : ?
  8. 8.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  9. 9.Divide ₹30 between Kabir and Aditya in the ratio 1 : 4. How much does Kabir get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  11. 11.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  14. 14.Divide ₹528 between Arjun and Nisha in the ratio 6 : 5. How much does Arjun get (in ₹)?
  15. 15.Divide ₹442 between Kavya and Farhan in the ratio 4 : 9. How much does Kavya get (in ₹)?
  16. 16.Divide ₹676 between Meera and Dev in the ratio 5 : 8. How much does Dev get (in ₹)?
  17. 17.2 : 12 = 4 : ?
  18. 18.Divide ₹580 between Rohan and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  20. 20.Divide ₹238 between Aditya and Kabir in the ratio 9 : 8. How much does Aditya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
  22. 22.11 : 5 = 44 : ?
  23. 23.4 : 12 = 16 : ?
  24. 24.Divide ₹180 between Priya and Kabir in the ratio 2 : 1. How much does Priya get (in ₹)?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.Divide ₹225 between Dev and Karan in the ratio 2 : 7. How much does Dev get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 8 : 5. There are 32 boys. How many girls are there?
  28. 28.Divide ₹290 between Dev and Diya in the ratio 9 : 1. How much does Dev get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  30. 30.12 : 10 = 72 : ?
  31. 31.Divide ₹350 between Arjun and Dev in the ratio 2 : 5. How much does Dev get (in ₹)?
  32. 32.5 : 11 = 40 : ?
  33. 33.Divide ₹160 between Aarav and Manav in the ratio 1 : 3. How much does Manav get (in ₹)?
  34. 34.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  35. 35.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  36. 36.Divide ₹780 between Saanvi and Kavya in the ratio 9 : 4. How much does Saanvi get (in ₹)?
  37. 37.Divide ₹517 between Ananya and Ishaan in the ratio 5 : 6. How much does Ishaan get (in ₹)?
  38. 38.Divide ₹605 between Sneha and Nisha in the ratio 4 : 7. How much does Nisha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?

Answer key

  1. 15
  2. 32
  3. 104
  4. 81
  5. 9
  6. 228
  7. 60
  8. 50
  9. 6
  10. 35
  11. 24
  12. 12
  13. 28
  14. 288
  15. 136
  16. 416
  17. 24
  18. 406
  19. 50
  20. 126
  21. 54
  22. 20
  23. 48
  24. 120
  25. 48
  26. 50
  27. 20
  28. 261
  29. 45
  30. 60
  31. 250
  32. 88
  33. 120
  34. 72
  35. 6
  36. 540
  37. 282
  38. 385
  39. 8
  40. 21

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