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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 898 · 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.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  2. 2.Divide ₹208 between Aarav and Isha in the ratio 7 : 1. How much does Aarav get (in ₹)?
  3. 3.8 : 5 = 56 : ?
  4. 4.12 : 11 = 36 : ?
  5. 5.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  6. 6.Divide ₹318 between Farhan and Meera in the ratio 1 : 5. How much does Farhan get (in ₹)?
  7. 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  8. 8.Divide ₹230 between Manav and Vivaan in the ratio 1 : 9. How much does Manav get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  11. 11.3 : 4 = 21 : ?
  12. 12.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  13. 13.Divide ₹420 between Meera and Ananya in the ratio 5 : 9. How much does Ananya get (in ₹)?
  14. 14.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  15. 15.10 : 5 = 60 : ?
  16. 16.Divide ₹212 between Kavya and Pooja in the ratio 3 : 1. How much does Kavya get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  18. 18.Divide ₹451 between Ananya and Tara in the ratio 5 : 6. How much does Ananya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 9 : 7. There are 45 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  23. 23.8 : 7 = 56 : ?
  24. 24.Divide ₹50 between Rohan and Arjun in the ratio 3 : 2. How much does Rohan get (in ₹)?
  25. 25.11 : 12 = 66 : ?
  26. 26.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
  27. 27.9 : 6 = 45 : ?
  28. 28.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  29. 29.Divide ₹516 between Ananya and Karan in the ratio 5 : 7. How much does Karan get (in ₹)?
  30. 30.Divide ₹216 between Dev and Rohan in the ratio 3 : 1. How much does Dev get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.6 : 10 = 30 : ?
  34. 34.Divide ₹165 between Saanvi and Rahul in the ratio 1 : 2. How much does Rahul get (in ₹)?
  35. 35.Divide ₹99 between Priya and Kavya in the ratio 4 : 7. How much does Kavya get (in ₹)?
  36. 36.12 : 15 = 72 : ?
  37. 37.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
  38. 38.Divide ₹480 between Zoya and Diya in the ratio 8 : 7. How much does Diya get (in ₹)?
  39. 39.8 : 4 = 16 : ?
  40. 40.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?

Answer key

  1. 20
  2. 182
  3. 35
  4. 33
  5. 24
  6. 53
  7. 32
  8. 23
  9. 6
  10. 12
  11. 28
  12. 150
  13. 270
  14. 72
  15. 30
  16. 159
  17. 6
  18. 205
  19. 27
  20. 35
  21. 2
  22. 9
  23. 49
  24. 30
  25. 72
  26. 45
  27. 30
  28. 27
  29. 301
  30. 162
  31. 56
  32. 18
  33. 50
  34. 110
  35. 63
  36. 90
  37. 15
  38. 224
  39. 8
  40. 20

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