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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 258 · 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 8 : 9. There are 72 boys. How many girls are there?
  2. 2.Divide ₹360 between Isha and Priya in the ratio 1 : 9. How much does Isha get (in ₹)?
  3. 3.8 : 3 = 16 : ?
  4. 4.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  5. 5.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  6. 6.4 : 7 = 16 : ?
  7. 7.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  8. 8.Divide ₹432 between Sneha and Priya in the ratio 5 : 7. How much does Priya get (in ₹)?
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.3 : 4 = 27 : ?
  11. 11.Divide ₹70 between Aarav and Aditya in the ratio 1 : 6. How much does Aditya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
  13. 13.Divide ₹64 between Isha and Aditya in the ratio 5 : 3. How much does Aditya get (in ₹)?
  14. 14.Divide ₹216 between Ishaan and Meera in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  15. 15.5 : 15 = 30 : ?
  16. 16.5 : 11 = 25 : ?
  17. 17.7 : 13 = 28 : ?
  18. 18.3 : 11 = 12 : ?
  19. 19.Divide ₹117 between Karan and Zoya in the ratio 4 : 5. How much does Zoya get (in ₹)?
  20. 20.Divide ₹154 between Kabir and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?
  21. 21.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  22. 22.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
  23. 23.6 : 9 = 18 : ?
  24. 24.Divide ₹272 between Manav and Kabir in the ratio 9 : 8. How much does Kabir get (in ₹)?
  25. 25.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  26. 26.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  27. 27.Divide ₹328 between Kavya and Farhan in the ratio 7 : 1. How much does Farhan get (in ₹)?
  28. 28.Divide ₹259 between Zoya and Tara in the ratio 3 : 4. How much does Tara get (in ₹)?
  29. 29.9 : 10 = 45 : ?
  30. 30.Divide ₹420 between Saanvi and Rahul in the ratio 7 : 3. How much does Saanvi get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  32. 32.Divide ₹330 between Dev and Priya in the ratio 9 : 2. How much does Dev get (in ₹)?
  33. 33.10 : 5 = 40 : ?
  34. 34.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 24 boys. How many girls are there?
  36. 36.Divide ₹530 between Zoya and Dev in the ratio 9 : 1. How much does Zoya get (in ₹)?
  37. 37.Divide ₹104 between Saanvi and Vivaan in the ratio 1 : 3. How much does Saanvi get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
  40. 40.7 : 4 = 14 : ?

Answer key

  1. 81
  2. 36
  3. 6
  4. 225
  5. 12
  6. 28
  7. 10
  8. 252
  9. 18
  10. 36
  11. 60
  12. 6
  13. 24
  14. 24
  15. 90
  16. 55
  17. 52
  18. 44
  19. 65
  20. 110
  21. 175
  22. 6
  23. 27
  24. 128
  25. 64
  26. 20
  27. 41
  28. 148
  29. 50
  30. 294
  31. 14
  32. 270
  33. 20
  34. 10
  35. 8
  36. 477
  37. 26
  38. 60
  39. 9
  40. 8

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