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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 333 · 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 ₹600 between Aarav and Diya in the ratio 5 : 7. How much does Aarav get (in ₹)?
  2. 2.Divide ₹550 between Rohan and Kavya in the ratio 5 : 6. How much does Rohan get (in ₹)?
  3. 3.Divide ₹338 between Priya and Diya in the ratio 8 : 5. How much does Priya get (in ₹)?
  4. 4.Divide ₹220 between Diya and Ananya in the ratio 3 : 1. How much does Diya get (in ₹)?
  5. 5.Divide ₹96 between Karan and Arjun in the ratio 5 : 1. How much does Karan get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  7. 7.Divide ₹176 between Ananya and Diya in the ratio 3 : 8. How much does Ananya get (in ₹)?
  8. 8.Divide ₹363 between Kabir and Saanvi in the ratio 9 : 2. How much does Kabir get (in ₹)?
  9. 9.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  10. 10.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  11. 11.Divide ₹280 between Rahul and Karan in the ratio 2 : 5. How much does Karan get (in ₹)?
  12. 12.Divide ₹270 between Ishaan and Karan in the ratio 3 : 2. How much does Ishaan get (in ₹)?
  13. 13.8 : 3 = 32 : ?
  14. 14.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  15. 15.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  16. 16.Divide ₹440 between Arjun and Dev in the ratio 6 : 5. How much does Dev get (in ₹)?
  17. 17.Divide ₹329 between Ananya and Diya in the ratio 3 : 4. How much does Diya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  19. 19.4 : 3 = 24 : ?
  20. 20.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  21. 21.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  22. 22.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.10 : 5 = 30 : ?
  25. 25.4 : 6 = 28 : ?
  26. 26.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  27. 27.Divide ₹540 between Zoya and Manav in the ratio 8 : 1. How much does Manav get (in ₹)?
  28. 28.12 : 3 = 60 : ?
  29. 29.Divide ₹368 between Farhan and Aditya in the ratio 7 : 9. How much does Aditya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  31. 31.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  32. 32.12 : 13 = 72 : ?
  33. 33.8 : 10 = 48 : ?
  34. 34.4 : 9 = 8 : ?
  35. 35.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  36. 36.Divide ₹125 between Pooja and Ishaan in the ratio 1 : 4. How much does Pooja get (in ₹)?
  37. 37.11 : 3 = 99 : ?
  38. 38.11 : 6 = 44 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  40. 40.12 : 10 = 84 : ?

Answer key

  1. 250
  2. 250
  3. 208
  4. 165
  5. 80
  6. 20
  7. 48
  8. 297
  9. 32
  10. 2
  11. 200
  12. 162
  13. 12
  14. 36
  15. 175
  16. 200
  17. 188
  18. 90
  19. 18
  20. 2
  21. 45
  22. 20
  23. 18
  24. 15
  25. 42
  26. 40
  27. 60
  28. 15
  29. 207
  30. 40
  31. 48
  32. 78
  33. 60
  34. 18
  35. 42
  36. 25
  37. 27
  38. 24
  39. 8
  40. 70

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