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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 778 · 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. 2.4 : 10 = 8 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  4. 4.Divide ₹120 between Dev and Diya in the ratio 1 : 3. How much does Diya get (in ₹)?
  5. 5.Divide ₹459 between Tara and Saanvi in the ratio 8 : 9. How much does Tara get (in ₹)?
  6. 6.12 : 5 = 60 : ?
  7. 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  8. 8.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  9. 9.8 : 12 = 40 : ?
  10. 10.Divide ₹550 between Tara and Isha in the ratio 3 : 7. How much does Tara get (in ₹)?
  11. 11.7 : 5 = 42 : ?
  12. 12.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  13. 13.4 : 11 = 36 : ?
  14. 14.2 : 10 = 8 : ?
  15. 15.Divide ₹99 between Kabir and Diya in the ratio 5 : 4. How much does Kabir get (in ₹)?
  16. 16.Divide ₹240 between Nisha and Diya in the ratio 7 : 8. How much does Diya get (in ₹)?
  17. 17.10 : 5 = 80 : ?
  18. 18.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  19. 19.6 : 14 = 42 : ?
  20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  21. 21.9 : 4 = 63 : ?
  22. 22.Divide ₹728 between Ananya and Isha in the ratio 5 : 9. How much does Ananya get (in ₹)?
  23. 23.7 : 13 = 14 : ?
  24. 24.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
  25. 25.Divide ₹196 between Saanvi and Zoya in the ratio 6 : 1. How much does Saanvi get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  27. 27.Divide ₹140 between Pooja and Ananya in the ratio 9 : 1. How much does Ananya get (in ₹)?
  28. 28.Divide ₹192 between Ananya and Karan in the ratio 3 : 5. How much does Ananya get (in ₹)?
  29. 29.Divide ₹168 between Pooja and Isha in the ratio 3 : 5. How much does Pooja get (in ₹)?
  30. 30.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  31. 31.Divide ₹468 between Rohan and Diya in the ratio 2 : 7. How much does Rohan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  33. 33.Divide ₹35 between Ananya and Zoya in the ratio 2 : 5. How much does Zoya get (in ₹)?
  34. 34.6 : 7 = 36 : ?
  35. 35.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  36. 36.2 : 13 = 8 : ?
  37. 37.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  38. 38.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  39. 39.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  40. 40.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?

Answer key

  1. 36
  2. 20
  3. 80
  4. 90
  5. 216
  6. 25
  7. 80
  8. 128
  9. 60
  10. 165
  11. 30
  12. 20
  13. 99
  14. 40
  15. 55
  16. 128
  17. 40
  18. 72
  19. 98
  20. 48
  21. 28
  22. 260
  23. 26
  24. 18
  25. 168
  26. 14
  27. 14
  28. 72
  29. 63
  30. 36
  31. 104
  32. 21
  33. 25
  34. 42
  35. 81
  36. 52
  37. 5
  38. 45
  39. 175
  40. 9

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