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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 572 · 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.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  2. 2.Divide ₹80 between Aarav and Nisha in the ratio 1 : 3. How much does Aarav get (in ₹)?
  3. 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  5. 5.Divide ₹121 between Vivaan and Arjun in the ratio 9 : 2. How much does Arjun get (in ₹)?
  6. 6.Divide ₹77 between Ishaan and Kabir in the ratio 9 : 2. How much does Ishaan get (in ₹)?
  7. 7.Divide ₹155 between Meera and Ananya in the ratio 3 : 2. How much does Ananya get (in ₹)?
  8. 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  9. 9.Divide ₹510 between Diya and Rohan in the ratio 8 : 7. How much does Diya get (in ₹)?
  10. 10.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  11. 11.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  13. 13.Divide ₹378 between Vivaan and Aarav in the ratio 3 : 4. How much does Vivaan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  16. 16.6 : 7 = 12 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  18. 18.Divide ₹150 between Ananya and Rahul in the ratio 5 : 1. How much does Rahul get (in ₹)?
  19. 19.3 : 14 = 21 : ?
  20. 20.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  21. 21.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  22. 22.Divide ₹100 between Manav and Zoya in the ratio 1 : 4. How much does Manav get (in ₹)?
  23. 23.Divide ₹812 between Arjun and Rahul in the ratio 9 : 5. How much does Rahul get (in ₹)?
  24. 24.Divide ₹266 between Farhan and Kavya in the ratio 1 : 6. How much does Farhan get (in ₹)?
  25. 25.3 : 8 = 9 : ?
  26. 26.Divide ₹204 between Vivaan and Priya in the ratio 8 : 9. How much does Priya get (in ₹)?
  27. 27.9 : 2 = 72 : ?
  28. 28.Divide ₹96 between Isha and Meera in the ratio 7 : 1. How much does Meera get (in ₹)?
  29. 29.12 : 10 = 36 : ?
  30. 30.7 : 13 = 14 : ?
  31. 31.Divide ₹84 between Nisha and Manav in the ratio 1 : 3. How much does Nisha get (in ₹)?
  32. 32.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  33. 33.Divide ₹370 between Tara and Isha in the ratio 9 : 1. How much does Tara get (in ₹)?
  34. 34.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  35. 35.3 : 14 = 27 : ?
  36. 36.Divide ₹210 between Dev and Sneha in the ratio 7 : 8. How much does Sneha get (in ₹)?
  37. 37.10 : 15 = 70 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
  39. 39.Divide ₹250 between Aditya and Isha in the ratio 1 : 9. How much does Isha get (in ₹)?
  40. 40.6 : 13 = 12 : ?

Answer key

  1. 60
  2. 20
  3. 125
  4. 36
  5. 22
  6. 63
  7. 62
  8. 144
  9. 272
  10. 45
  11. 24
  12. 6
  13. 162
  14. 10
  15. 32
  16. 14
  17. 6
  18. 25
  19. 98
  20. 96
  21. 20
  22. 20
  23. 290
  24. 38
  25. 24
  26. 108
  27. 16
  28. 12
  29. 30
  30. 26
  31. 21
  32. 36
  33. 333
  34. 72
  35. 126
  36. 112
  37. 105
  38. 30
  39. 225
  40. 26

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