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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 292 · 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 6 and 24 (that is, 6 : 24 = 24 : ?).
  2. 2.Divide ₹168 between Isha and Pooja in the ratio 5 : 1. How much does Isha get (in ₹)?
  3. 3.10 : 6 = 90 : ?
  4. 4.Divide ₹252 between Zoya and Nisha in the ratio 2 : 7. How much does Zoya get (in ₹)?
  5. 5.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  6. 6.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  8. 8.6 : 10 = 12 : ?
  9. 9.Divide ₹294 between Dev and Aarav in the ratio 5 : 9. How much does Dev get (in ₹)?
  10. 10.Divide ₹374 between Karan and Pooja in the ratio 9 : 8. How much does Pooja get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  12. 12.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  13. 13.4 : 13 = 32 : ?
  14. 14.10 : 8 = 50 : ?
  15. 15.The ratio of boys to girls in a class is 6 : 7. There are 54 boys. How many girls are there?
  16. 16.Divide ₹210 between Arjun and Pooja in the ratio 1 : 5. How much does Arjun get (in ₹)?
  17. 17.12 : 5 = 96 : ?
  18. 18.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  19. 19.12 : 6 = 48 : ?
  20. 20.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  21. 21.Divide ₹468 between Sneha and Kabir in the ratio 7 : 6. How much does Sneha get (in ₹)?
  22. 22.Divide ₹273 between Zoya and Kabir in the ratio 4 : 9. How much does Kabir get (in ₹)?
  23. 23.5 : 6 = 40 : ?
  24. 24.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  25. 25.Divide ₹69 between Manav and Tara in the ratio 1 : 2. How much does Tara get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 7. There are 27 boys. How many girls are there?
  27. 27.9 : 11 = 18 : ?
  28. 28.2 : 12 = 10 : ?
  29. 29.Divide ₹90 between Karan and Priya in the ratio 9 : 1. How much does Priya get (in ₹)?
  30. 30.Divide ₹540 between Manav and Ananya in the ratio 7 : 3. How much does Manav get (in ₹)?
  31. 31.Divide ₹319 between Diya and Tara in the ratio 7 : 4. How much does Tara get (in ₹)?
  32. 32.6 : 3 = 54 : ?
  33. 33.11 : 9 = 55 : ?
  34. 34.Divide ₹180 between Meera and Pooja in the ratio 7 : 5. How much does Meera get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  36. 36.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  37. 37.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  38. 38.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  39. 39.2 : 4 = 8 : ?
  40. 40.5 : 2 = 15 : ?

Answer key

  1. 96
  2. 140
  3. 54
  4. 56
  5. 45
  6. 30
  7. 56
  8. 20
  9. 105
  10. 176
  11. 9
  12. 16
  13. 104
  14. 40
  15. 63
  16. 35
  17. 40
  18. 40
  19. 24
  20. 72
  21. 252
  22. 189
  23. 48
  24. 225
  25. 46
  26. 63
  27. 22
  28. 60
  29. 9
  30. 378
  31. 116
  32. 27
  33. 45
  34. 105
  35. 14
  36. 81
  37. 16
  38. 32
  39. 16
  40. 6

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