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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 161 · 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 ₹279 between Diya and Pooja in the ratio 4 : 5. How much does Pooja get (in ₹)?
  2. 2.8 : 2 = 24 : ?
  3. 3.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  4. 4.8 : 2 = 48 : ?
  5. 5.Divide ₹72 between Nisha and Aarav in the ratio 7 : 1. How much does Nisha get (in ₹)?
  6. 6.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  7. 7.Divide ₹210 between Sneha and Karan in the ratio 9 : 1. How much does Sneha get (in ₹)?
  8. 8.Divide ₹748 between Ishaan and Aditya in the ratio 8 : 9. How much does Ishaan get (in ₹)?
  9. 9.Divide ₹192 between Meera and Rahul in the ratio 5 : 3. How much does Rahul get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  11. 11.8 : 5 = 56 : ?
  12. 12.Divide ₹342 between Vivaan and Dev in the ratio 1 : 8. How much does Vivaan get (in ₹)?
  13. 13.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  14. 14.Divide ₹406 between Meera and Isha in the ratio 4 : 3. How much does Isha get (in ₹)?
  15. 15.Divide ₹884 between Vivaan and Rahul in the ratio 8 : 9. How much does Vivaan get (in ₹)?
  16. 16.9 : 6 = 72 : ?
  17. 17.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 2 : 9. There are 14 boys. How many girls are there?
  19. 19.Divide ₹88 between Nisha and Zoya in the ratio 5 : 6. How much does Zoya get (in ₹)?
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.4 : 7 = 8 : ?
  22. 22.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  23. 23.4 : 2 = 16 : ?
  24. 24.Divide ₹470 between Priya and Aditya in the ratio 1 : 9. How much does Aditya get (in ₹)?
  25. 25.2 : 4 = 6 : ?
  26. 26.7 : 9 = 28 : ?
  27. 27.Divide ₹441 between Arjun and Manav in the ratio 2 : 7. How much does Manav get (in ₹)?
  28. 28.11 : 5 = 55 : ?
  29. 29.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  30. 30.Divide ₹264 between Kavya and Priya in the ratio 1 : 7. How much does Priya get (in ₹)?
  31. 31.12 : 4 = 96 : ?
  32. 32.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  33. 33.3 : 6 = 9 : ?
  34. 34.Divide ₹120 between Isha and Tara in the ratio 7 : 1. How much does Tara get (in ₹)?
  35. 35.11 : 14 = 77 : ?
  36. 36.7 : 11 = 63 : ?
  37. 37.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  38. 38.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  39. 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  40. 40.3 : 14 = 12 : ?

Answer key

  1. 155
  2. 6
  3. 81
  4. 12
  5. 63
  6. 112
  7. 189
  8. 352
  9. 72
  10. 6
  11. 35
  12. 38
  13. 64
  14. 174
  15. 416
  16. 48
  17. 9
  18. 63
  19. 48
  20. 45
  21. 14
  22. 128
  23. 8
  24. 423
  25. 12
  26. 36
  27. 343
  28. 25
  29. 27
  30. 231
  31. 32
  32. 9
  33. 18
  34. 15
  35. 98
  36. 99
  37. 35
  38. 125
  39. 200
  40. 56

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