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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 748 · 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.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  2. 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  3. 3.Divide ₹126 between Meera and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
  4. 4.Divide ₹377 between Nisha and Kavya in the ratio 6 : 7. How much does Kavya get (in ₹)?
  5. 5.Divide ₹600 between Zoya and Vivaan in the ratio 8 : 7. How much does Zoya get (in ₹)?
  6. 6.Divide ₹350 between Arjun and Nisha in the ratio 6 : 1. How much does Arjun get (in ₹)?
  7. 7.10 : 14 = 90 : ?
  8. 8.Divide ₹224 between Dev and Isha in the ratio 5 : 9. How much does Dev get (in ₹)?
  9. 9.9 : 5 = 54 : ?
  10. 10.Divide ₹264 between Manav and Ananya in the ratio 5 : 1. How much does Ananya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 8. There are 45 boys. How many girls are there?
  12. 12.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  13. 13.3 : 13 = 6 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  15. 15.Divide ₹296 between Pooja and Meera in the ratio 3 : 5. How much does Meera get (in ₹)?
  16. 16.7 : 12 = 21 : ?
  17. 17.Divide ₹247 between Kabir and Arjun in the ratio 5 : 8. How much does Arjun get (in ₹)?
  18. 18.9 : 4 = 36 : ?
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.5 : 4 = 45 : ?
  21. 21.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  22. 22.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  23. 23.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  24. 24.Divide ₹630 between Tara and Diya in the ratio 5 : 9. How much does Tara get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  26. 26.Divide ₹128 between Meera and Sneha in the ratio 7 : 1. How much does Meera get (in ₹)?
  27. 27.Divide ₹294 between Meera and Karan in the ratio 5 : 2. How much does Karan get (in ₹)?
  28. 28.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  29. 29.6 : 3 = 12 : ?
  30. 30.Divide ₹350 between Arjun and Saanvi in the ratio 3 : 4. How much does Arjun get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  32. 32.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  33. 33.Divide ₹600 between Priya and Rahul in the ratio 3 : 7. How much does Priya get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?
  35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  36. 36.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  37. 37.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  38. 38.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  39. 39.7 : 4 = 21 : ?
  40. 40.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).

Answer key

  1. 36
  2. 24
  3. 84
  4. 203
  5. 320
  6. 300
  7. 126
  8. 80
  9. 30
  10. 44
  11. 72
  12. 45
  13. 26
  14. 6
  15. 185
  16. 36
  17. 152
  18. 16
  19. 48
  20. 36
  21. 2
  22. 96
  23. 144
  24. 225
  25. 40
  26. 112
  27. 84
  28. 63
  29. 6
  30. 150
  31. 54
  32. 128
  33. 180
  34. 42
  35. 12
  36. 18
  37. 6
  38. 27
  39. 12
  40. 100

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