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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 667 · 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 ₹20 between Nisha and Aditya in the ratio 3 : 1. How much does Nisha get (in ₹)?
  2. 2.2 : 14 = 8 : ?
  3. 3.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
  5. 5.Divide ₹767 between Ishaan and Rahul in the ratio 5 : 8. How much does Rahul get (in ₹)?
  6. 6.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Divide ₹352 between Aarav and Kabir in the ratio 9 : 7. How much does Aarav get (in ₹)?
  9. 9.Divide ₹99 between Ishaan and Rohan in the ratio 7 : 4. How much does Ishaan get (in ₹)?
  10. 10.Divide ₹45 between Zoya and Aditya in the ratio 5 : 4. How much does Aditya get (in ₹)?
  11. 11.Divide ₹245 between Kabir and Aarav in the ratio 5 : 2. How much does Aarav get (in ₹)?
  12. 12.Divide ₹198 between Karan and Arjun in the ratio 1 : 8. How much does Karan get (in ₹)?
  13. 13.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  14. 14.Divide ₹154 between Dev and Vivaan in the ratio 9 : 2. How much does Dev get (in ₹)?
  15. 15.Divide ₹741 between Rahul and Aarav in the ratio 7 : 6. How much does Aarav get (in ₹)?
  16. 16.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  17. 17.Divide ₹385 between Ananya and Meera in the ratio 7 : 4. How much does Ananya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  20. 20.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  21. 21.12 : 5 = 48 : ?
  22. 22.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  26. 26.7 : 9 = 14 : ?
  27. 27.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  28. 28.Divide ₹270 between Karan and Rahul in the ratio 1 : 4. How much does Karan get (in ₹)?
  29. 29.8 : 7 = 16 : ?
  30. 30.Divide ₹594 between Kavya and Sneha in the ratio 7 : 4. How much does Kavya get (in ₹)?
  31. 31.3 : 12 = 15 : ?
  32. 32.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 2. There are 8 boys. How many girls are there?
  34. 34.Divide ₹342 between Manav and Aditya in the ratio 5 : 1. How much does Manav get (in ₹)?
  35. 35.Divide ₹152 between Aarav and Rahul in the ratio 3 : 5. How much does Rahul get (in ₹)?
  36. 36.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  37. 37.The ratio of boys to girls in a class is 9 : 8. There are 90 boys. How many girls are there?
  38. 38.Divide ₹663 between Saanvi and Tara in the ratio 5 : 8. How much does Saanvi get (in ₹)?
  39. 39.4 : 10 = 8 : ?
  40. 40.11 : 5 = 44 : ?

Answer key

  1. 15
  2. 56
  3. 45
  4. 5
  5. 472
  6. 27
  7. 8
  8. 198
  9. 63
  10. 20
  11. 70
  12. 22
  13. 18
  14. 126
  15. 342
  16. 144
  17. 245
  18. 20
  19. 54
  20. 54
  21. 20
  22. 6
  23. 63
  24. 8
  25. 48
  26. 18
  27. 16
  28. 54
  29. 14
  30. 378
  31. 60
  32. 9
  33. 16
  34. 285
  35. 95
  36. 45
  37. 80
  38. 255
  39. 20
  40. 20

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