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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 78 · 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. 1.5 : 13 = 25 : ?
  2. 2.Divide ₹133 between Dev and Diya in the ratio 6 : 1. How much does Dev get (in ₹)?
  3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  4. 4.Divide ₹216 between Tara and Isha in the ratio 1 : 8. How much does Isha get (in ₹)?
  5. 5.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  6. 6.11 : 8 = 33 : ?
  7. 7.Divide ₹525 between Farhan and Zoya in the ratio 7 : 8. How much does Zoya get (in ₹)?
  8. 8.4 : 13 = 12 : ?
  9. 9.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  10. 10.Divide ₹322 between Zoya and Ananya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  11. 11.Divide ₹408 between Farhan and Manav in the ratio 5 : 7. How much does Manav get (in ₹)?
  12. 12.Divide ₹78 between Diya and Kabir in the ratio 1 : 5. How much does Diya get (in ₹)?
  13. 13.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  16. 16.The ratio of boys to girls in a class is 5 : 6. There are 25 boys. How many girls are there?
  17. 17.Divide ₹70 between Priya and Nisha in the ratio 3 : 2. How much does Priya get (in ₹)?
  18. 18.6 : 8 = 42 : ?
  19. 19.Divide ₹20 between Rahul and Saanvi in the ratio 1 : 3. How much does Rahul get (in ₹)?
  20. 20.Divide ₹473 between Ishaan and Kavya in the ratio 2 : 9. How much does Kavya get (in ₹)?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.Divide ₹266 between Karan and Rohan in the ratio 4 : 3. How much does Karan get (in ₹)?
  23. 23.6 : 11 = 18 : ?
  24. 24.Divide ₹90 between Vivaan and Pooja in the ratio 7 : 3. How much does Vivaan get (in ₹)?
  25. 25.7 : 12 = 42 : ?
  26. 26.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  30. 30.Divide ₹110 between Aarav and Karan in the ratio 9 : 1. How much does Aarav get (in ₹)?
  31. 31.Divide ₹196 between Sneha and Diya in the ratio 5 : 2. How much does Diya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  33. 33.Divide ₹120 between Arjun and Diya in the ratio 1 : 5. How much does Diya get (in ₹)?
  34. 34.Divide ₹252 between Tara and Isha in the ratio 2 : 7. How much does Tara get (in ₹)?
  35. 35.Divide ₹225 between Kabir and Sneha in the ratio 1 : 4. How much does Kabir get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  37. 37.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  38. 38.Divide ₹270 between Vivaan and Isha in the ratio 7 : 2. How much does Isha get (in ₹)?
  39. 39.2 : 14 = 16 : ?
  40. 40.2 : 9 = 16 : ?

Answer key

  1. 65
  2. 114
  3. 27
  4. 192
  5. 36
  6. 24
  7. 280
  8. 39
  9. 40
  10. 230
  11. 238
  12. 13
  13. 18
  14. 20
  15. 63
  16. 30
  17. 42
  18. 56
  19. 5
  20. 387
  21. 50
  22. 152
  23. 33
  24. 63
  25. 72
  26. 5
  27. 6
  28. 24
  29. 9
  30. 99
  31. 56
  32. 8
  33. 100
  34. 56
  35. 45
  36. 18
  37. 144
  38. 60
  39. 112
  40. 72

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