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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 235 · 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. 1.9 : 15 = 54 : ?
  2. 2.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  3. 3.Divide ₹350 between Tara and Meera in the ratio 5 : 2. How much does Meera get (in ₹)?
  4. 4.Divide ₹374 between Ishaan and Farhan in the ratio 6 : 5. How much does Ishaan get (in ₹)?
  5. 5.Divide ₹40 between Arjun and Meera in the ratio 7 : 1. How much does Arjun get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
  7. 7.Divide ₹602 between Karan and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  8. 8.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  9. 9.Divide ₹960 between Meera and Manav in the ratio 7 : 9. How much does Meera get (in ₹)?
  10. 10.3 : 9 = 9 : ?
  11. 11.Divide ₹110 between Isha and Priya in the ratio 3 : 2. How much does Priya get (in ₹)?
  12. 12.8 : 7 = 48 : ?
  13. 13.Divide ₹572 between Priya and Aditya in the ratio 6 : 7. How much does Priya get (in ₹)?
  14. 14.10 : 2 = 40 : ?
  15. 15.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  16. 16.12 : 3 = 36 : ?
  17. 17.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  18. 18.Divide ₹336 between Farhan and Rahul in the ratio 3 : 5. How much does Farhan get (in ₹)?
  19. 19.6 : 2 = 36 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
  22. 22.Divide ₹752 between Farhan and Meera in the ratio 9 : 7. How much does Farhan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  24. 24.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  26. 26.Divide ₹396 between Kavya and Aarav in the ratio 6 : 5. How much does Aarav get (in ₹)?
  27. 27.Divide ₹117 between Manav and Meera in the ratio 8 : 5. How much does Manav get (in ₹)?
  28. 28.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  29. 29.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  30. 30.Divide ₹290 between Isha and Ishaan in the ratio 3 : 7. How much does Isha get (in ₹)?
  31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  32. 32.7 : 2 = 14 : ?
  33. 33.Divide ₹117 between Aarav and Rahul in the ratio 8 : 1. How much does Rahul get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 3 : 1. There are 21 boys. How many girls are there?
  36. 36.Divide ₹250 between Kabir and Karan in the ratio 3 : 7. How much does Karan get (in ₹)?
  37. 37.Divide ₹143 between Ananya and Zoya in the ratio 2 : 9. How much does Ananya get (in ₹)?
  38. 38.2 : 7 = 12 : ?
  39. 39.3 : 12 = 18 : ?
  40. 40.4 : 11 = 32 : ?

Answer key

  1. 90
  2. 18
  3. 100
  4. 204
  5. 35
  6. 36
  7. 215
  8. 225
  9. 420
  10. 27
  11. 44
  12. 42
  13. 264
  14. 8
  15. 144
  16. 9
  17. 12
  18. 126
  19. 12
  20. 32
  21. 10
  22. 423
  23. 3
  24. 28
  25. 9
  26. 180
  27. 72
  28. 96
  29. 50
  30. 87
  31. 100
  32. 4
  33. 13
  34. 18
  35. 7
  36. 175
  37. 26
  38. 42
  39. 72
  40. 88

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