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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 159 · 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.Divide ₹102 between Manav and Kabir in the ratio 8 : 9. How much does Manav get (in ₹)?
  2. 2.2 : 14 = 12 : ?
  3. 3.Divide ₹450 between Aditya and Pooja in the ratio 8 : 1. How much does Aditya get (in ₹)?
  4. 4.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  5. 5.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  6. 6.Divide ₹184 between Nisha and Meera in the ratio 1 : 3. How much does Nisha get (in ₹)?
  7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  8. 8.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  10. 10.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  11. 11.Divide ₹611 between Karan and Ishaan in the ratio 6 : 7. How much does Karan get (in ₹)?
  12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  13. 13.Divide ₹407 between Diya and Ishaan in the ratio 8 : 3. How much does Diya get (in ₹)?
  14. 14.Divide ₹198 between Zoya and Vivaan in the ratio 2 : 9. How much does Zoya get (in ₹)?
  15. 15.Divide ₹480 between Kabir and Ishaan in the ratio 9 : 1. How much does Kabir get (in ₹)?
  16. 16.Divide ₹630 between Meera and Ishaan in the ratio 9 : 5. How much does Ishaan get (in ₹)?
  17. 17.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  18. 18.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
  19. 19.7 : 3 = 42 : ?
  20. 20.Divide ₹351 between Kabir and Pooja in the ratio 5 : 8. How much does Kabir get (in ₹)?
  21. 21.Divide ₹368 between Manav and Saanvi in the ratio 7 : 1. How much does Saanvi get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
  23. 23.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  24. 24.4 : 6 = 32 : ?
  25. 25.7 : 3 = 28 : ?
  26. 26.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
  27. 27.11 : 3 = 66 : ?
  28. 28.6 : 11 = 36 : ?
  29. 29.Divide ₹36 between Aditya and Priya in the ratio 1 : 3. How much does Aditya get (in ₹)?
  30. 30.Divide ₹165 between Zoya and Ishaan in the ratio 4 : 1. How much does Ishaan get (in ₹)?
  31. 31.6 : 4 = 42 : ?
  32. 32.9 : 10 = 63 : ?
  33. 33.Divide ₹135 between Karan and Kabir in the ratio 3 : 2. How much does Karan get (in ₹)?
  34. 34.Divide ₹275 between Aarav and Rohan in the ratio 3 : 8. How much does Aarav get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  36. 36.Divide ₹264 between Arjun and Isha in the ratio 5 : 6. How much does Isha get (in ₹)?
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  40. 40.9 : 10 = 72 : ?

Answer key

  1. 48
  2. 84
  3. 400
  4. 225
  5. 14
  6. 46
  7. 63
  8. 50
  9. 8
  10. 70
  11. 282
  12. 100
  13. 296
  14. 36
  15. 432
  16. 225
  17. 16
  18. 45
  19. 18
  20. 135
  21. 46
  22. 18
  23. 112
  24. 48
  25. 12
  26. 4
  27. 18
  28. 66
  29. 9
  30. 33
  31. 28
  32. 70
  33. 81
  34. 75
  35. 12
  36. 144
  37. 18
  38. 8
  39. 35
  40. 80

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