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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 990 · 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 ₹234 between Rahul and Kabir in the ratio 9 : 4. How much does Kabir get (in ₹)?
  2. 2.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  4. 4.Divide ₹39 between Diya and Aarav in the ratio 2 : 1. How much does Aarav get (in ₹)?
  5. 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  6. 6.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?
  8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  9. 9.Divide ₹299 between Dev and Tara in the ratio 8 : 5. How much does Dev get (in ₹)?
  10. 10.8 : 15 = 48 : ?
  11. 11.12 : 4 = 72 : ?
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
  13. 13.Divide ₹494 between Zoya and Meera in the ratio 5 : 8. How much does Zoya get (in ₹)?
  14. 14.Divide ₹310 between Tara and Karan in the ratio 7 : 3. How much does Tara get (in ₹)?
  15. 15.Divide ₹238 between Meera and Karan in the ratio 6 : 1. How much does Meera get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
  17. 17.Divide ₹456 between Priya and Vivaan in the ratio 7 : 5. How much does Priya get (in ₹)?
  18. 18.4 : 14 = 24 : ?
  19. 19.8 : 13 = 56 : ?
  20. 20.6 : 10 = 18 : ?
  21. 21.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.Divide ₹320 between Pooja and Rohan in the ratio 7 : 3. How much does Rohan get (in ₹)?
  24. 24.8 : 10 = 16 : ?
  25. 25.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  26. 26.Divide ₹752 between Ishaan and Kavya in the ratio 7 : 9. How much does Kavya get (in ₹)?
  27. 27.Divide ₹540 between Dev and Kavya in the ratio 9 : 1. How much does Dev get (in ₹)?
  28. 28.Divide ₹375 between Rahul and Diya in the ratio 8 : 7. How much does Diya get (in ₹)?
  29. 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  30. 30.4 : 13 = 12 : ?
  31. 31.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  32. 32.Divide ₹220 between Manav and Karan in the ratio 7 : 4. How much does Manav get (in ₹)?
  33. 33.Divide ₹495 between Vivaan and Diya in the ratio 9 : 2. How much does Vivaan get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
  35. 35.4 : 9 = 12 : ?
  36. 36.12 : 15 = 108 : ?
  37. 37.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  38. 38.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  39. 39.Divide ₹504 between Nisha and Kavya in the ratio 5 : 7. How much does Nisha get (in ₹)?
  40. 40.5 : 12 = 10 : ?

Answer key

  1. 72
  2. 96
  3. 16
  4. 13
  5. 63
  6. 80
  7. 30
  8. 48
  9. 184
  10. 90
  11. 24
  12. 40
  13. 190
  14. 217
  15. 204
  16. 40
  17. 266
  18. 84
  19. 91
  20. 30
  21. 72
  22. 36
  23. 96
  24. 20
  25. 14
  26. 423
  27. 486
  28. 175
  29. 50
  30. 39
  31. 45
  32. 140
  33. 405
  34. 7
  35. 27
  36. 135
  37. 16
  38. 16
  39. 210
  40. 24

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