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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 897 · 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. 1.3 : 9 = 6 : ?
  2. 2.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  3. 3.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  4. 4.3 : 2 = 9 : ?
  5. 5.4 : 9 = 36 : ?
  6. 6.7 : 4 = 49 : ?
  7. 7.The ratio of boys to girls in a class is 7 : 9. There are 56 boys. How many girls are there?
  8. 8.Divide ₹299 between Diya and Meera in the ratio 6 : 7. How much does Diya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
  11. 11.Divide ₹168 between Rahul and Diya in the ratio 5 : 2. How much does Rahul get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  13. 13.11 : 2 = 66 : ?
  14. 14.Divide ₹550 between Saanvi and Manav in the ratio 9 : 2. How much does Manav get (in ₹)?
  15. 15.Divide ₹384 between Pooja and Saanvi in the ratio 5 : 3. How much does Pooja get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  17. 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
  19. 19.Divide ₹120 between Karan and Aditya in the ratio 9 : 1. How much does Aditya get (in ₹)?
  20. 20.Divide ₹225 between Nisha and Aditya in the ratio 7 : 8. How much does Nisha get (in ₹)?
  21. 21.Divide ₹560 between Karan and Tara in the ratio 7 : 9. How much does Tara get (in ₹)?
  22. 22.Divide ₹336 between Isha and Sneha in the ratio 7 : 5. How much does Isha get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  24. 24.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  26. 26.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  27. 27.Divide ₹624 between Meera and Tara in the ratio 7 : 5. How much does Tara get (in ₹)?
  28. 28.Divide ₹90 between Kabir and Manav in the ratio 5 : 4. How much does Kabir get (in ₹)?
  29. 29.5 : 8 = 35 : ?
  30. 30.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  33. 33.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  34. 34.Divide ₹85 between Rohan and Ishaan in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
  36. 36.Divide ₹240 between Saanvi and Manav in the ratio 7 : 1. How much does Manav get (in ₹)?
  37. 37.Divide ₹55 between Kavya and Tara in the ratio 5 : 6. How much does Kavya get (in ₹)?
  38. 38.Divide ₹156 between Tara and Arjun in the ratio 4 : 9. How much does Arjun get (in ₹)?
  39. 39.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  40. 40.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).

Answer key

  1. 18
  2. 32
  3. 63
  4. 6
  5. 81
  6. 28
  7. 72
  8. 138
  9. 4
  10. 40
  11. 120
  12. 49
  13. 12
  14. 100
  15. 240
  16. 8
  17. 200
  18. 20
  19. 12
  20. 105
  21. 315
  22. 196
  23. 8
  24. 50
  25. 27
  26. 14
  27. 260
  28. 50
  29. 56
  30. 8
  31. 16
  32. 6
  33. 96
  34. 45
  35. 45
  36. 30
  37. 25
  38. 108
  39. 125
  40. 28

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