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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 427 · 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.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  4. 4.12 : 15 = 60 : ?
  5. 5.Divide ₹70 between Kavya and Saanvi in the ratio 3 : 4. How much does Kavya get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  7. 7.Divide ₹320 between Karan and Aditya in the ratio 7 : 9. How much does Karan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
  10. 10.2 : 5 = 6 : ?
  11. 11.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  12. 12.Divide ₹306 between Rohan and Rahul in the ratio 4 : 5. How much does Rahul get (in ₹)?
  13. 13.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  14. 14.Divide ₹175 between Diya and Arjun in the ratio 6 : 1. How much does Diya get (in ₹)?
  15. 15.Divide ₹150 between Meera and Rahul in the ratio 9 : 1. How much does Rahul get (in ₹)?
  16. 16.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  17. 17.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  19. 19.Divide ₹434 between Isha and Zoya in the ratio 5 : 9. How much does Zoya get (in ₹)?
  20. 20.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  21. 21.4 : 13 = 12 : ?
  22. 22.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  23. 23.Divide ₹364 between Diya and Ishaan in the ratio 2 : 5. How much does Diya get (in ₹)?
  24. 24.Divide ₹161 between Kavya and Aarav in the ratio 3 : 4. How much does Kavya get (in ₹)?
  25. 25.Divide ₹35 between Sneha and Ananya in the ratio 1 : 6. How much does Sneha get (in ₹)?
  26. 26.Divide ₹546 between Ishaan and Meera in the ratio 6 : 7. How much does Ishaan get (in ₹)?
  27. 27.Divide ₹210 between Rohan and Farhan in the ratio 8 : 7. How much does Farhan get (in ₹)?
  28. 28.Divide ₹171 between Manav and Ananya in the ratio 8 : 1. How much does Ananya get (in ₹)?
  29. 29.2 : 4 = 6 : ?
  30. 30.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  31. 31.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  32. 32.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  33. 33.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  34. 34.Divide ₹285 between Kabir and Priya in the ratio 1 : 4. How much does Kabir get (in ₹)?
  35. 35.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  36. 36.9 : 5 = 72 : ?
  37. 37.Divide ₹110 between Rahul and Aarav in the ratio 3 : 2. How much does Rahul get (in ₹)?
  38. 38.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  39. 39.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  40. 40.9 : 12 = 27 : ?

Answer key

  1. 20
  2. 63
  3. 56
  4. 75
  5. 30
  6. 12
  7. 140
  8. 42
  9. 63
  10. 15
  11. 20
  12. 170
  13. 64
  14. 150
  15. 15
  16. 144
  17. 20
  18. 4
  19. 279
  20. 175
  21. 39
  22. 32
  23. 104
  24. 69
  25. 5
  26. 252
  27. 98
  28. 19
  29. 12
  30. 96
  31. 54
  32. 112
  33. 32
  34. 57
  35. 200
  36. 40
  37. 66
  38. 72
  39. 16
  40. 36

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