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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 145 · 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 ₹32 between Farhan and Kavya in the ratio 3 : 1. How much does Farhan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  3. 3.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  4. 4.8 : 2 = 48 : ?
  5. 5.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  6. 6.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  7. 7.4 : 11 = 32 : ?
  8. 8.8 : 12 = 24 : ?
  9. 9.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  10. 10.7 : 14 = 21 : ?
  11. 11.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  13. 13.10 : 8 = 80 : ?
  14. 14.Divide ₹348 between Dev and Saanvi in the ratio 5 : 7. How much does Dev get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  16. 16.Divide ₹405 between Dev and Priya in the ratio 1 : 8. How much does Priya get (in ₹)?
  17. 17.Divide ₹371 between Sneha and Vivaan in the ratio 3 : 4. How much does Sneha get (in ₹)?
  18. 18.Divide ₹312 between Ananya and Zoya in the ratio 8 : 5. How much does Ananya get (in ₹)?
  19. 19.Divide ₹99 between Ishaan and Aarav in the ratio 1 : 8. How much does Ishaan get (in ₹)?
  20. 20.Divide ₹160 between Kavya and Tara in the ratio 3 : 2. How much does Tara get (in ₹)?
  21. 21.Divide ₹84 between Aarav and Meera in the ratio 1 : 3. How much does Aarav get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  23. 23.Divide ₹378 between Pooja and Diya in the ratio 1 : 8. How much does Pooja get (in ₹)?
  24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  25. 25.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  27. 27.Divide ₹160 between Kavya and Aarav in the ratio 9 : 1. How much does Kavya get (in ₹)?
  28. 28.10 : 3 = 50 : ?
  29. 29.Divide ₹360 between Rohan and Ishaan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  30. 30.Divide ₹520 between Aditya and Kabir in the ratio 7 : 3. How much does Kabir get (in ₹)?
  31. 31.Divide ₹504 between Pooja and Meera in the ratio 4 : 5. How much does Meera get (in ₹)?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.The ratio of boys to girls in a class is 4 : 1. There are 28 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
  35. 35.Divide ₹184 between Ananya and Saanvi in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  36. 36.6 : 4 = 42 : ?
  37. 37.5 : 7 = 15 : ?
  38. 38.4 : 9 = 16 : ?
  39. 39.7 : 12 = 63 : ?
  40. 40.Divide ₹350 between Farhan and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?

Answer key

  1. 24
  2. 4
  3. 24
  4. 12
  5. 8
  6. 42
  7. 88
  8. 36
  9. 128
  10. 42
  11. 100
  12. 8
  13. 64
  14. 145
  15. 28
  16. 360
  17. 159
  18. 192
  19. 11
  20. 64
  21. 21
  22. 3
  23. 42
  24. 36
  25. 56
  26. 27
  27. 144
  28. 15
  29. 135
  30. 156
  31. 280
  32. 125
  33. 7
  34. 42
  35. 46
  36. 28
  37. 21
  38. 36
  39. 108
  40. 245

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