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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 940 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹228 between Meera and Saanvi in the ratio 7 : 5. How much does Meera get (in ₹)?
  2. 2.Divide ₹108 between Tara and Nisha in the ratio 8 : 1. How much does Tara get (in ₹)?
  3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  4. 4.Divide ₹152 between Manav and Pooja in the ratio 1 : 7. How much does Manav get (in ₹)?
  5. 5.Divide ₹286 between Rahul and Manav in the ratio 4 : 7. How much does Rahul get (in ₹)?
  6. 6.3 : 2 = 18 : ?
  7. 7.Divide ₹70 between Kabir and Karan in the ratio 3 : 2. How much does Karan get (in ₹)?
  8. 8.11 : 9 = 22 : ?
  9. 9.3 : 11 = 27 : ?
  10. 10.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  11. 11.Divide ₹400 between Dev and Aditya in the ratio 7 : 1. How much does Dev get (in ₹)?
  12. 12.6 : 13 = 12 : ?
  13. 13.10 : 15 = 90 : ?
  14. 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  15. 15.8 : 15 = 56 : ?
  16. 16.6 : 2 = 24 : ?
  17. 17.11 : 14 = 22 : ?
  18. 18.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
  19. 19.Divide ₹290 between Farhan and Kabir in the ratio 4 : 1. How much does Kabir get (in ₹)?
  20. 20.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  21. 21.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  22. 22.Divide ₹330 between Isha and Dev in the ratio 9 : 2. How much does Dev get (in ₹)?
  23. 23.Divide ₹234 between Saanvi and Arjun in the ratio 2 : 7. How much does Saanvi get (in ₹)?
  24. 24.Divide ₹280 between Rohan and Manav in the ratio 5 : 9. How much does Rohan get (in ₹)?
  25. 25.Divide ₹54 between Aditya and Kabir in the ratio 5 : 1. How much does Kabir get (in ₹)?
  26. 26.Divide ₹246 between Aditya and Diya in the ratio 5 : 1. How much does Aditya get (in ₹)?
  27. 27.11 : 15 = 33 : ?
  28. 28.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  29. 29.Divide ₹441 between Manav and Kavya in the ratio 7 : 2. How much does Manav get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  32. 32.4 : 7 = 8 : ?
  33. 33.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  34. 34.Divide ₹255 between Diya and Tara in the ratio 3 : 2. How much does Tara get (in ₹)?
  35. 35.2 : 14 = 12 : ?
  36. 36.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  37. 37.Divide ₹108 between Isha and Arjun in the ratio 2 : 7. How much does Isha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  39. 39.Divide ₹54 between Kabir and Tara in the ratio 1 : 2. How much does Kabir get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?

Answer key

  1. 133
  2. 96
  3. 20
  4. 19
  5. 104
  6. 12
  7. 28
  8. 18
  9. 99
  10. 14
  11. 350
  12. 26
  13. 135
  14. 64
  15. 105
  16. 8
  17. 28
  18. 5
  19. 58
  20. 175
  21. 24
  22. 60
  23. 52
  24. 100
  25. 9
  26. 205
  27. 45
  28. 144
  29. 343
  30. 24
  31. 75
  32. 14
  33. 32
  34. 102
  35. 84
  36. 24
  37. 24
  38. 12
  39. 18
  40. 2

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