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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 311 · 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 ₹247 between Farhan and Zoya in the ratio 4 : 9. How much does Zoya get (in ₹)?
  2. 2.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  3. 3.8 : 10 = 64 : ?
  4. 4.Divide ₹432 between Aditya and Meera in the ratio 8 : 1. How much does Aditya get (in ₹)?
  5. 5.7 : 6 = 56 : ?
  6. 6.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  7. 7.Divide ₹55 between Arjun and Manav in the ratio 2 : 3. How much does Manav get (in ₹)?
  8. 8.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  9. 9.Divide ₹450 between Rohan and Priya in the ratio 7 : 3. How much does Priya get (in ₹)?
  10. 10.Divide ₹399 between Aarav and Saanvi in the ratio 1 : 6. How much does Saanvi get (in ₹)?
  11. 11.Divide ₹80 between Diya and Rahul in the ratio 3 : 5. How much does Rahul get (in ₹)?
  12. 12.3 : 14 = 9 : ?
  13. 13.6 : 8 = 48 : ?
  14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  15. 15.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  16. 16.10 : 15 = 70 : ?
  17. 17.9 : 11 = 27 : ?
  18. 18.Divide ₹126 between Kabir and Rahul in the ratio 7 : 2. How much does Kabir get (in ₹)?
  19. 19.9 : 2 = 45 : ?
  20. 20.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  23. 23.3 : 9 = 9 : ?
  24. 24.Divide ₹286 between Pooja and Ananya in the ratio 5 : 6. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
  28. 28.Divide ₹192 between Dev and Vivaan in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  30. 30.Divide ₹378 between Kabir and Isha in the ratio 2 : 7. How much does Kabir get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
  32. 32.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  33. 33.Divide ₹360 between Vivaan and Farhan in the ratio 7 : 5. How much does Vivaan get (in ₹)?
  34. 34.Divide ₹24 between Rahul and Kabir in the ratio 2 : 1. How much does Kabir get (in ₹)?
  35. 35.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  36. 36.9 : 12 = 27 : ?
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.Divide ₹36 between Aarav and Kavya in the ratio 1 : 2. How much does Kavya get (in ₹)?
  39. 39.8 : 2 = 48 : ?
  40. 40.Divide ₹676 between Nisha and Arjun in the ratio 9 : 4. How much does Nisha get (in ₹)?

Answer key

  1. 171
  2. 36
  3. 80
  4. 384
  5. 48
  6. 12
  7. 33
  8. 175
  9. 135
  10. 342
  11. 50
  12. 42
  13. 64
  14. 20
  15. 48
  16. 105
  17. 33
  18. 98
  19. 10
  20. 6
  21. 3
  22. 8
  23. 27
  24. 130
  25. 56
  26. 4
  27. 42
  28. 160
  29. 9
  30. 84
  31. 35
  32. 32
  33. 210
  34. 8
  35. 27
  36. 36
  37. 18
  38. 24
  39. 12
  40. 468

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