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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 851 · 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 4 : 3. There are 20 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  3. 3.Divide ₹583 between Priya and Isha in the ratio 6 : 5. How much does Isha get (in ₹)?
  4. 4.Divide ₹156 between Kavya and Ananya in the ratio 5 : 1. How much does Kavya get (in ₹)?
  5. 5.5 : 3 = 20 : ?
  6. 6.Divide ₹380 between Kabir and Isha in the ratio 7 : 3. How much does Isha get (in ₹)?
  7. 7.Divide ₹406 between Diya and Pooja in the ratio 5 : 2. How much does Pooja get (in ₹)?
  8. 8.Divide ₹90 between Aarav and Tara in the ratio 4 : 1. How much does Tara get (in ₹)?
  9. 9.2 : 4 = 18 : ?
  10. 10.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  13. 13.Divide ₹70 between Meera and Dev in the ratio 5 : 2. How much does Meera get (in ₹)?
  14. 14.9 : 12 = 63 : ?
  15. 15.5 : 15 = 25 : ?
  16. 16.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  17. 17.Divide ₹200 between Zoya and Nisha in the ratio 3 : 1. How much does Zoya get (in ₹)?
  18. 18.10 : 8 = 50 : ?
  19. 19.Divide ₹216 between Zoya and Rahul in the ratio 3 : 1. How much does Zoya get (in ₹)?
  20. 20.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  21. 21.Divide ₹132 between Sneha and Zoya in the ratio 3 : 1. How much does Sneha get (in ₹)?
  22. 22.7 : 8 = 14 : ?
  23. 23.9 : 6 = 27 : ?
  24. 24.5 : 8 = 30 : ?
  25. 25.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  26. 26.Divide ₹102 between Zoya and Kabir in the ratio 1 : 5. How much does Kabir get (in ₹)?
  27. 27.Divide ₹264 between Kavya and Aditya in the ratio 1 : 7. How much does Kavya get (in ₹)?
  28. 28.Divide ₹72 between Kabir and Priya in the ratio 1 : 2. How much does Kabir get (in ₹)?
  29. 29.8 : 3 = 72 : ?
  30. 30.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  32. 32.8 : 12 = 72 : ?
  33. 33.3 : 2 = 6 : ?
  34. 34.Divide ₹104 between Meera and Karan in the ratio 6 : 7. How much does Meera get (in ₹)?
  35. 35.Divide ₹165 between Ananya and Farhan in the ratio 9 : 2. How much does Farhan get (in ₹)?
  36. 36.4 : 5 = 32 : ?
  37. 37.4 : 10 = 16 : ?
  38. 38.11 : 15 = 88 : ?
  39. 39.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  40. 40.Divide ₹387 between Arjun and Saanvi in the ratio 1 : 8. How much does Arjun get (in ₹)?

Answer key

  1. 15
  2. 10
  3. 265
  4. 130
  5. 12
  6. 114
  7. 116
  8. 18
  9. 36
  10. 56
  11. 20
  12. 15
  13. 50
  14. 84
  15. 75
  16. 64
  17. 150
  18. 40
  19. 162
  20. 100
  21. 99
  22. 16
  23. 18
  24. 48
  25. 81
  26. 85
  27. 33
  28. 24
  29. 27
  30. 56
  31. 2
  32. 108
  33. 4
  34. 48
  35. 30
  36. 40
  37. 40
  38. 120
  39. 63
  40. 43

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