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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 497 · 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 ₹301 between Meera and Ananya in the ratio 1 : 6. How much does Meera get (in ₹)?
  2. 2.Divide ₹460 between Meera and Ananya in the ratio 1 : 9. How much does Ananya get (in ₹)?
  3. 3.10 : 7 = 50 : ?
  4. 4.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  6. 6.5 : 7 = 15 : ?
  7. 7.6 : 2 = 30 : ?
  8. 8.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  9. 9.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  11. 11.12 : 8 = 96 : ?
  12. 12.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  13. 13.8 : 3 = 16 : ?
  14. 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  15. 15.Divide ₹70 between Rahul and Aditya in the ratio 2 : 3. How much does Rahul get (in ₹)?
  16. 16.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  17. 17.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
  18. 18.Divide ₹175 between Rahul and Aditya in the ratio 4 : 1. How much does Aditya get (in ₹)?
  19. 19.4 : 3 = 28 : ?
  20. 20.3 : 13 = 27 : ?
  21. 21.Divide ₹371 between Vivaan and Diya in the ratio 2 : 5. How much does Diya get (in ₹)?
  22. 22.9 : 2 = 36 : ?
  23. 23.Divide ₹585 between Karan and Zoya in the ratio 9 : 4. How much does Zoya get (in ₹)?
  24. 24.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  25. 25.Divide ₹468 between Aditya and Pooja in the ratio 7 : 6. How much does Aditya get (in ₹)?
  26. 26.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  27. 27.4 : 7 = 8 : ?
  28. 28.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  30. 30.Divide ₹299 between Zoya and Karan in the ratio 6 : 7. How much does Karan get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 7. There are 30 boys. How many girls are there?
  32. 32.Divide ₹391 between Tara and Vivaan in the ratio 8 : 9. How much does Tara get (in ₹)?
  33. 33.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  34. 34.Divide ₹140 between Kavya and Diya in the ratio 3 : 7. How much does Diya get (in ₹)?
  35. 35.Divide ₹360 between Pooja and Priya in the ratio 7 : 5. How much does Priya get (in ₹)?
  36. 36.Divide ₹495 between Manav and Sneha in the ratio 7 : 2. How much does Sneha get (in ₹)?
  37. 37.11 : 7 = 66 : ?
  38. 38.Divide ₹168 between Dev and Priya in the ratio 4 : 3. How much does Dev get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  40. 40.Divide ₹90 between Aarav and Diya in the ratio 1 : 4. How much does Aarav get (in ₹)?

Answer key

  1. 43
  2. 414
  3. 35
  4. 12
  5. 225
  6. 21
  7. 10
  8. 16
  9. 16
  10. 49
  11. 64
  12. 27
  13. 6
  14. 64
  15. 28
  16. 200
  17. 8
  18. 35
  19. 21
  20. 117
  21. 265
  22. 8
  23. 180
  24. 27
  25. 252
  26. 63
  27. 14
  28. 6
  29. 30
  30. 161
  31. 42
  32. 184
  33. 36
  34. 98
  35. 150
  36. 110
  37. 42
  38. 96
  39. 42
  40. 18

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