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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 18 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹216 between Kabir and Vivaan in the ratio 5 : 7. How much does Kabir get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  3. 3.Divide ₹531 between Diya and Isha in the ratio 8 : 1. How much does Diya get (in ₹)?
  4. 4.Divide ₹570 between Sneha and Arjun in the ratio 7 : 8. How much does Arjun get (in ₹)?
  5. 5.2 : 13 = 14 : ?
  6. 6.11 : 7 = 88 : ?
  7. 7.Divide ₹70 between Rohan and Dev in the ratio 9 : 1. How much does Rohan get (in ₹)?
  8. 8.Divide ₹54 between Sneha and Ishaan in the ratio 2 : 1. How much does Sneha get (in ₹)?
  9. 9.3 : 9 = 9 : ?
  10. 10.Divide ₹506 between Dev and Vivaan in the ratio 9 : 2. How much does Dev get (in ₹)?
  11. 11.Divide ₹896 between Arjun and Isha in the ratio 9 : 7. How much does Isha get (in ₹)?
  12. 12.Divide ₹252 between Diya and Ishaan in the ratio 5 : 9. How much does Diya get (in ₹)?
  13. 13.Divide ₹663 between Vivaan and Manav in the ratio 9 : 8. How much does Manav get (in ₹)?
  14. 14.12 : 15 = 24 : ?
  15. 15.Divide ₹63 between Farhan and Zoya in the ratio 2 : 5. How much does Farhan get (in ₹)?
  16. 16.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  17. 17.The ratio of boys to girls in a class is 4 : 9. There are 36 boys. How many girls are there?
  18. 18.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  19. 19.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  20. 20.12 : 10 = 48 : ?
  21. 21.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  22. 22.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  23. 23.7 : 10 = 21 : ?
  24. 24.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  25. 25.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
  26. 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  27. 27.Divide ₹360 between Aarav and Pooja in the ratio 8 : 7. How much does Aarav get (in ₹)?
  28. 28.Divide ₹70 between Kabir and Diya in the ratio 3 : 7. How much does Kabir get (in ₹)?
  29. 29.Divide ₹170 between Priya and Zoya in the ratio 3 : 7. How much does Priya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.Divide ₹272 between Manav and Zoya in the ratio 7 : 9. How much does Zoya get (in ₹)?
  33. 33.2 : 5 = 6 : ?
  34. 34.Divide ₹580 between Tara and Farhan in the ratio 1 : 9. How much does Tara get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  36. 36.Divide ₹72 between Aditya and Rahul in the ratio 1 : 7. How much does Rahul get (in ₹)?
  37. 37.Divide ₹140 between Tara and Kavya in the ratio 1 : 4. How much does Kavya get (in ₹)?
  38. 38.7 : 10 = 14 : ?
  39. 39.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  40. 40.3 : 4 = 15 : ?

Answer key

  1. 90
  2. 10
  3. 472
  4. 304
  5. 91
  6. 56
  7. 63
  8. 36
  9. 27
  10. 414
  11. 392
  12. 90
  13. 312
  14. 30
  15. 18
  16. 12
  17. 81
  18. 48
  19. 24
  20. 40
  21. 16
  22. 200
  23. 30
  24. 72
  25. 54
  26. 112
  27. 192
  28. 21
  29. 51
  30. 21
  31. 81
  32. 153
  33. 15
  34. 58
  35. 49
  36. 63
  37. 112
  38. 20
  39. 54
  40. 20

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