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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 781 · 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 : 3. There are 70 boys. How many girls are there?
  2. 2.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
  3. 3.Divide ₹255 between Kabir and Aditya in the ratio 2 : 3. How much does Aditya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 5 : 8. There are 50 boys. How many girls are there?
  6. 6.5 : 15 = 30 : ?
  7. 7.9 : 3 = 81 : ?
  8. 8.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  9. 9.4 : 8 = 12 : ?
  10. 10.Divide ₹448 between Diya and Ishaan in the ratio 7 : 9. How much does Diya get (in ₹)?
  11. 11.7 : 9 = 56 : ?
  12. 12.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
  16. 16.4 : 15 = 8 : ?
  17. 17.Divide ₹468 between Dev and Diya in the ratio 8 : 5. How much does Dev get (in ₹)?
  18. 18.Divide ₹135 between Aditya and Tara in the ratio 1 : 8. How much does Tara get (in ₹)?
  19. 19.Divide ₹132 between Sneha and Ishaan in the ratio 2 : 9. How much does Ishaan get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  23. 23.8 : 3 = 56 : ?
  24. 24.Divide ₹350 between Farhan and Zoya in the ratio 3 : 4. How much does Zoya get (in ₹)?
  25. 25.3 : 6 = 12 : ?
  26. 26.Divide ₹441 between Arjun and Manav in the ratio 2 : 7. How much does Manav get (in ₹)?
  27. 27.5 : 10 = 35 : ?
  28. 28.4 : 13 = 36 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  30. 30.Divide ₹420 between Kabir and Isha in the ratio 9 : 1. How much does Kabir get (in ₹)?
  31. 31.Divide ₹121 between Ishaan and Priya in the ratio 2 : 9. How much does Priya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
  33. 33.Divide ₹162 between Kabir and Saanvi in the ratio 2 : 7. How much does Kabir get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  36. 36.8 : 11 = 24 : ?
  37. 37.Divide ₹40 between Vivaan and Aditya in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  38. 38.Divide ₹90 between Vivaan and Diya in the ratio 5 : 4. How much does Vivaan get (in ₹)?
  39. 39.Divide ₹414 between Aarav and Priya in the ratio 5 : 4. How much does Aarav get (in ₹)?
  40. 40.Divide ₹143 between Diya and Zoya in the ratio 8 : 5. How much does Diya get (in ₹)?

Answer key

  1. 30
  2. 10
  3. 153
  4. 9
  5. 80
  6. 90
  7. 27
  8. 100
  9. 24
  10. 196
  11. 72
  12. 3
  13. 48
  14. 8
  15. 15
  16. 30
  17. 288
  18. 120
  19. 108
  20. 30
  21. 16
  22. 36
  23. 21
  24. 200
  25. 24
  26. 343
  27. 70
  28. 117
  29. 20
  30. 378
  31. 99
  32. 72
  33. 36
  34. 42
  35. 4
  36. 33
  37. 24
  38. 50
  39. 230
  40. 88

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