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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 918 · 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 ₹289 between Saanvi and Pooja in the ratio 9 : 8. How much does Pooja get (in ₹)?
  2. 2.Divide ₹715 between Karan and Rohan in the ratio 4 : 9. How much does Karan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  4. 4.Divide ₹918 between Diya and Aditya in the ratio 9 : 8. How much does Aditya get (in ₹)?
  5. 5.Divide ₹152 between Dev and Kabir in the ratio 1 : 3. How much does Dev get (in ₹)?
  6. 6.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  7. 7.Divide ₹153 between Vivaan and Isha in the ratio 8 : 1. How much does Vivaan get (in ₹)?
  8. 8.Divide ₹470 between Kavya and Aditya in the ratio 1 : 9. How much does Kavya get (in ₹)?
  9. 9.The ratio of boys to girls in a class is 6 : 7. There are 30 boys. How many girls are there?
  10. 10.9 : 7 = 72 : ?
  11. 11.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  12. 12.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  14. 14.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  15. 15.11 : 12 = 88 : ?
  16. 16.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  17. 17.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  18. 18.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  20. 20.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  21. 21.Divide ₹119 between Farhan and Arjun in the ratio 4 : 3. How much does Arjun get (in ₹)?
  22. 22.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  23. 23.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  24. 24.Divide ₹363 between Diya and Kabir in the ratio 8 : 3. How much does Kabir get (in ₹)?
  25. 25.6 : 8 = 12 : ?
  26. 26.5 : 12 = 40 : ?
  27. 27.3 : 8 = 12 : ?
  28. 28.Divide ₹90 between Kabir and Sneha in the ratio 8 : 1. How much does Sneha get (in ₹)?
  29. 29.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  30. 30.Divide ₹81 between Diya and Kabir in the ratio 1 : 8. How much does Diya get (in ₹)?
  31. 31.9 : 2 = 27 : ?
  32. 32.Divide ₹49 between Farhan and Kavya in the ratio 2 : 5. How much does Farhan get (in ₹)?
  33. 33.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  34. 34.12 : 3 = 96 : ?
  35. 35.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  36. 36.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  37. 37.2 : 14 = 4 : ?
  38. 38.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  40. 40.10 : 2 = 40 : ?

Answer key

  1. 136
  2. 220
  3. 35
  4. 432
  5. 38
  6. 100
  7. 136
  8. 47
  9. 35
  10. 56
  11. 16
  12. 20
  13. 64
  14. 32
  15. 96
  16. 3
  17. 64
  18. 32
  19. 27
  20. 12
  21. 51
  22. 128
  23. 24
  24. 99
  25. 16
  26. 96
  27. 32
  28. 10
  29. 150
  30. 9
  31. 6
  32. 14
  33. 63
  34. 24
  35. 112
  36. 18
  37. 28
  38. 20
  39. 50
  40. 8

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