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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 658 · 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 ₹343 between Aditya and Saanvi in the ratio 3 : 4. How much does Aditya get (in ₹)?
  2. 2.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  3. 3.3 : 15 = 15 : ?
  4. 4.10 : 8 = 40 : ?
  5. 5.6 : 12 = 54 : ?
  6. 6.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  7. 7.Divide ₹442 between Aditya and Diya in the ratio 6 : 7. How much does Aditya get (in ₹)?
  8. 8.7 : 6 = 35 : ?
  9. 9.10 : 4 = 90 : ?
  10. 10.Divide ₹896 between Isha and Karan in the ratio 7 : 9. How much does Isha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  12. 12.Divide ₹210 between Diya and Isha in the ratio 6 : 1. How much does Isha get (in ₹)?
  13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  14. 14.7 : 13 = 56 : ?
  15. 15.Divide ₹133 between Rohan and Karan in the ratio 5 : 2. How much does Karan get (in ₹)?
  16. 16.Divide ₹198 between Manav and Diya in the ratio 4 : 7. How much does Manav get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
  18. 18.Divide ₹540 between Sneha and Isha in the ratio 9 : 1. How much does Isha get (in ₹)?
  19. 19.Divide ₹72 between Sneha and Kavya in the ratio 2 : 7. How much does Sneha get (in ₹)?
  20. 20.7 : 12 = 56 : ?
  21. 21.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  22. 22.Divide ₹184 between Zoya and Tara in the ratio 1 : 3. How much does Tara get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 3 : 8. There are 9 boys. How many girls are there?
  24. 24.6 : 3 = 24 : ?
  25. 25.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  27. 27.11 : 5 = 77 : ?
  28. 28.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  29. 29.Divide ₹112 between Aarav and Meera in the ratio 9 : 7. How much does Meera get (in ₹)?
  30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  31. 31.Divide ₹90 between Manav and Ananya in the ratio 5 : 4. How much does Manav get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  33. 33.Divide ₹133 between Meera and Priya in the ratio 4 : 3. How much does Meera get (in ₹)?
  34. 34.10 : 13 = 70 : ?
  35. 35.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  36. 36.11 : 3 = 77 : ?
  37. 37.Divide ₹320 between Nisha and Diya in the ratio 5 : 3. How much does Diya get (in ₹)?
  38. 38.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  39. 39.Divide ₹658 between Rohan and Pooja in the ratio 5 : 9. How much does Rohan get (in ₹)?
  40. 40.Divide ₹384 between Ananya and Meera in the ratio 3 : 5. How much does Meera get (in ₹)?

Answer key

  1. 147
  2. 32
  3. 75
  4. 32
  5. 108
  6. 100
  7. 204
  8. 30
  9. 36
  10. 392
  11. 25
  12. 30
  13. 28
  14. 104
  15. 38
  16. 72
  17. 24
  18. 54
  19. 16
  20. 96
  21. 150
  22. 138
  23. 24
  24. 12
  25. 2
  26. 63
  27. 35
  28. 8
  29. 49
  30. 72
  31. 50
  32. 18
  33. 76
  34. 91
  35. 48
  36. 21
  37. 120
  38. 63
  39. 235
  40. 240

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