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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 395 · 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.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  2. 2.2 : 4 = 6 : ?
  3. 3.4 : 14 = 32 : ?
  4. 4.Divide ₹105 between Karan and Saanvi in the ratio 2 : 5. How much does Saanvi get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  7. 7.9 : 2 = 63 : ?
  8. 8.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  9. 9.9 : 14 = 81 : ?
  10. 10.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  11. 11.Divide ₹184 between Saanvi and Kabir in the ratio 1 : 7. How much does Kabir get (in ₹)?
  12. 12.Divide ₹513 between Meera and Kavya in the ratio 5 : 4. How much does Meera get (in ₹)?
  13. 13.Divide ₹168 between Kabir and Isha in the ratio 3 : 5. How much does Isha get (in ₹)?
  14. 14.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  15. 15.Divide ₹480 between Aarav and Aditya in the ratio 7 : 1. How much does Aarav get (in ₹)?
  16. 16.5 : 12 = 45 : ?
  17. 17.Divide ₹546 between Ananya and Arjun in the ratio 4 : 9. How much does Ananya get (in ₹)?
  18. 18.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  19. 19.Divide ₹238 between Sneha and Vivaan in the ratio 2 : 5. How much does Vivaan get (in ₹)?
  20. 20.10 : 6 = 70 : ?
  21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  22. 22.Divide ₹322 between Priya and Isha in the ratio 5 : 9. How much does Priya get (in ₹)?
  23. 23.11 : 8 = 22 : ?
  24. 24.4 : 13 = 12 : ?
  25. 25.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  26. 26.10 : 12 = 50 : ?
  27. 27.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  28. 28.3 : 13 = 15 : ?
  29. 29.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  30. 30.12 : 3 = 96 : ?
  31. 31.Divide ₹425 between Ishaan and Kabir in the ratio 9 : 8. How much does Ishaan get (in ₹)?
  32. 32.Divide ₹135 between Tara and Ishaan in the ratio 2 : 7. How much does Tara get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  34. 34.Divide ₹234 between Aarav and Pooja in the ratio 1 : 5. How much does Pooja get (in ₹)?
  35. 35.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  36. 36.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  37. 37.Divide ₹130 between Arjun and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  38. 38.Divide ₹90 between Pooja and Ishaan in the ratio 2 : 3. How much does Pooja get (in ₹)?
  39. 39.Divide ₹481 between Aarav and Dev in the ratio 7 : 6. How much does Dev get (in ₹)?
  40. 40.Divide ₹380 between Kabir and Diya in the ratio 1 : 9. How much does Kabir get (in ₹)?

Answer key

  1. 32
  2. 12
  3. 112
  4. 75
  5. 4
  6. 49
  7. 14
  8. 12
  9. 126
  10. 18
  11. 161
  12. 285
  13. 105
  14. 200
  15. 420
  16. 108
  17. 168
  18. 75
  19. 170
  20. 42
  21. 28
  22. 115
  23. 16
  24. 39
  25. 3
  26. 60
  27. 128
  28. 65
  29. 49
  30. 24
  31. 225
  32. 30
  33. 8
  34. 195
  35. 64
  36. 150
  37. 52
  38. 36
  39. 222
  40. 38

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