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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 613 · 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 2 : 5. There are 4 boys. How many girls are there?
  2. 2.Divide ₹880 between Pooja and Ananya in the ratio 7 : 9. How much does Pooja get (in ₹)?
  3. 3.11 : 2 = 99 : ?
  4. 4.Divide ₹72 between Tara and Zoya in the ratio 5 : 1. How much does Tara get (in ₹)?
  5. 5.2 : 14 = 12 : ?
  6. 6.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  7. 7.Divide ₹240 between Manav and Kabir in the ratio 7 : 8. How much does Manav get (in ₹)?
  8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  9. 9.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  10. 10.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  11. 11.4 : 11 = 8 : ?
  12. 12.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  13. 13.Divide ₹572 between Kabir and Dev in the ratio 7 : 6. How much does Dev get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  18. 18.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  19. 19.4 : 9 = 28 : ?
  20. 20.Divide ₹473 between Isha and Kavya in the ratio 2 : 9. How much does Isha get (in ₹)?
  21. 21.Divide ₹98 between Saanvi and Kabir in the ratio 9 : 5. How much does Kabir get (in ₹)?
  22. 22.8 : 9 = 64 : ?
  23. 23.Divide ₹308 between Zoya and Aditya in the ratio 4 : 7. How much does Zoya get (in ₹)?
  24. 24.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  25. 25.Divide ₹672 between Ananya and Zoya in the ratio 7 : 5. How much does Ananya get (in ₹)?
  26. 26.8 : 3 = 48 : ?
  27. 27.3 : 12 = 24 : ?
  28. 28.8 : 9 = 56 : ?
  29. 29.5 : 11 = 40 : ?
  30. 30.Divide ₹70 between Rahul and Isha in the ratio 2 : 3. How much does Rahul get (in ₹)?
  31. 31.Divide ₹25 between Ananya and Nisha in the ratio 1 : 4. How much does Ananya get (in ₹)?
  32. 32.Divide ₹510 between Zoya and Ananya in the ratio 7 : 3. How much does Zoya get (in ₹)?
  33. 33.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  34. 34.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  35. 35.10 : 7 = 50 : ?
  36. 36.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  38. 38.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  39. 39.Divide ₹260 between Isha and Diya in the ratio 3 : 2. How much does Isha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?

Answer key

  1. 10
  2. 385
  3. 18
  4. 60
  5. 84
  6. 8
  7. 112
  8. 48
  9. 18
  10. 72
  11. 22
  12. 128
  13. 264
  14. 10
  15. 20
  16. 35
  17. 64
  18. 63
  19. 63
  20. 86
  21. 35
  22. 72
  23. 112
  24. 36
  25. 392
  26. 18
  27. 96
  28. 63
  29. 88
  30. 28
  31. 5
  32. 357
  33. 12
  34. 225
  35. 35
  36. 56
  37. 32
  38. 24
  39. 156
  40. 9

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