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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 512 · 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.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  2. 2.Divide ₹264 between Vivaan and Manav in the ratio 1 : 7. How much does Manav get (in ₹)?
  3. 3.Divide ₹154 between Kabir and Arjun in the ratio 4 : 7. How much does Kabir get (in ₹)?
  4. 4.Divide ₹272 between Dev and Kabir in the ratio 8 : 9. How much does Dev get (in ₹)?
  5. 5.8 : 11 = 16 : ?
  6. 6.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  7. 7.8 : 13 = 64 : ?
  8. 8.Divide ₹242 between Priya and Dev in the ratio 7 : 4. How much does Dev get (in ₹)?
  9. 9.12 : 7 = 48 : ?
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.Divide ₹210 between Arjun and Sneha in the ratio 6 : 1. How much does Arjun get (in ₹)?
  12. 12.4 : 14 = 20 : ?
  13. 13.2 : 6 = 10 : ?
  14. 14.Divide ₹468 between Aarav and Meera in the ratio 5 : 8. How much does Aarav get (in ₹)?
  15. 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  17. 17.12 : 2 = 96 : ?
  18. 18.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  19. 19.The ratio of boys to girls in a class is 4 : 5. There are 20 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  21. 21.2 : 8 = 4 : ?
  22. 22.Divide ₹210 between Dev and Saanvi in the ratio 5 : 2. How much does Dev get (in ₹)?
  23. 23.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  24. 24.Divide ₹312 between Kabir and Saanvi in the ratio 5 : 8. How much does Kabir get (in ₹)?
  25. 25.4 : 14 = 16 : ?
  26. 26.Divide ₹196 between Tara and Zoya in the ratio 3 : 4. How much does Tara get (in ₹)?
  27. 27.Divide ₹121 between Saanvi and Vivaan in the ratio 2 : 9. How much does Vivaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  30. 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  31. 31.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  32. 32.Divide ₹392 between Diya and Meera in the ratio 3 : 4. How much does Diya get (in ₹)?
  33. 33.6 : 13 = 48 : ?
  34. 34.Divide ₹960 between Diya and Rohan in the ratio 9 : 7. How much does Diya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  36. 36.Divide ₹215 between Rohan and Isha in the ratio 1 : 4. How much does Rohan get (in ₹)?
  37. 37.Divide ₹572 between Priya and Sneha in the ratio 3 : 8. How much does Priya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  40. 40.5 : 8 = 25 : ?

Answer key

  1. 60
  2. 231
  3. 56
  4. 128
  5. 22
  6. 36
  7. 104
  8. 88
  9. 28
  10. 128
  11. 180
  12. 70
  13. 30
  14. 180
  15. 28
  16. 8
  17. 16
  18. 175
  19. 25
  20. 16
  21. 16
  22. 150
  23. 18
  24. 120
  25. 56
  26. 84
  27. 99
  28. 49
  29. 4
  30. 16
  31. 96
  32. 168
  33. 104
  34. 540
  35. 35
  36. 43
  37. 156
  38. 24
  39. 9
  40. 40

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