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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 328 · 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 ₹147 between Saanvi and Meera in the ratio 2 : 5. How much does Saanvi get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  4. 4.Divide ₹20 between Manav and Aarav in the ratio 1 : 3. How much does Manav get (in ₹)?
  5. 5.2 : 15 = 8 : ?
  6. 6.4 : 12 = 20 : ?
  7. 7.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  8. 8.10 : 9 = 20 : ?
  9. 9.Divide ₹70 between Rohan and Karan in the ratio 6 : 1. How much does Rohan get (in ₹)?
  10. 10.Divide ₹140 between Dev and Zoya in the ratio 6 : 1. How much does Zoya get (in ₹)?
  11. 11.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  12. 12.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  13. 13.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  14. 14.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  15. 15.Divide ₹161 between Karan and Kabir in the ratio 5 : 2. How much does Karan get (in ₹)?
  16. 16.5 : 9 = 40 : ?
  17. 17.9 : 15 = 72 : ?
  18. 18.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  19. 19.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  20. 20.Divide ₹385 between Arjun and Aditya in the ratio 9 : 2. How much does Aditya get (in ₹)?
  21. 21.Divide ₹232 between Priya and Sneha in the ratio 3 : 1. How much does Sneha get (in ₹)?
  22. 22.Divide ₹156 between Sneha and Manav in the ratio 5 : 7. How much does Manav get (in ₹)?
  23. 23.Divide ₹259 between Aarav and Vivaan in the ratio 6 : 1. How much does Aarav get (in ₹)?
  24. 24.5 : 6 = 20 : ?
  25. 25.Divide ₹144 between Tara and Dev in the ratio 1 : 3. How much does Tara get (in ₹)?
  26. 26.Divide ₹574 between Meera and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  27. 27.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  28. 28.Divide ₹460 between Kavya and Diya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  29. 29.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  30. 30.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  31. 31.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  32. 32.Divide ₹42 between Diya and Karan in the ratio 2 : 1. How much does Diya get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  35. 35.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  36. 36.9 : 13 = 54 : ?
  37. 37.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  38. 38.Divide ₹380 between Kabir and Pooja in the ratio 7 : 3. How much does Kabir get (in ₹)?
  39. 39.Divide ₹119 between Ishaan and Kabir in the ratio 5 : 2. How much does Kabir get (in ₹)?
  40. 40.5 : 6 = 45 : ?

Answer key

  1. 42
  2. 35
  3. 3
  4. 5
  5. 60
  6. 60
  7. 200
  8. 18
  9. 60
  10. 20
  11. 36
  12. 63
  13. 75
  14. 24
  15. 115
  16. 72
  17. 120
  18. 6
  19. 128
  20. 70
  21. 58
  22. 91
  23. 222
  24. 24
  25. 36
  26. 205
  27. 63
  28. 322
  29. 16
  30. 48
  31. 15
  32. 28
  33. 35
  34. 7
  35. 24
  36. 78
  37. 35
  38. 266
  39. 34
  40. 54

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