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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 289 · 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. 1.7 : 15 = 21 : ?
  2. 2.Divide ₹104 between Aarav and Tara in the ratio 5 : 8. How much does Aarav get (in ₹)?
  3. 3.9 : 13 = 36 : ?
  4. 4.Divide ₹380 between Kavya and Rohan in the ratio 3 : 7. How much does Kavya get (in ₹)?
  5. 5.7 : 13 = 42 : ?
  6. 6.Divide ₹715 between Rahul and Aditya in the ratio 7 : 6. How much does Rahul get (in ₹)?
  7. 7.10 : 13 = 40 : ?
  8. 8.Divide ₹450 between Karan and Diya in the ratio 1 : 9. How much does Diya get (in ₹)?
  9. 9.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  10. 10.7 : 2 = 28 : ?
  11. 11.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  13. 13.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  14. 14.Divide ₹144 between Kabir and Rahul in the ratio 5 : 4. How much does Rahul get (in ₹)?
  15. 15.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  16. 16.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  17. 17.Divide ₹340 between Karan and Kavya in the ratio 9 : 1. How much does Karan get (in ₹)?
  18. 18.8 : 3 = 72 : ?
  19. 19.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  20. 20.Divide ₹42 between Pooja and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
  21. 21.9 : 10 = 18 : ?
  22. 22.6 : 8 = 42 : ?
  23. 23.Divide ₹561 between Diya and Saanvi in the ratio 8 : 9. How much does Diya get (in ₹)?
  24. 24.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  25. 25.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  26. 26.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  27. 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  28. 28.8 : 4 = 24 : ?
  29. 29.Divide ₹170 between Farhan and Kabir in the ratio 1 : 9. How much does Farhan get (in ₹)?
  30. 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  31. 31.12 : 14 = 96 : ?
  32. 32.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  34. 34.Divide ₹121 between Vivaan and Sneha in the ratio 2 : 9. How much does Vivaan get (in ₹)?
  35. 35.Divide ₹513 between Isha and Manav in the ratio 2 : 7. How much does Isha get (in ₹)?
  36. 36.6 : 5 = 30 : ?
  37. 37.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  39. 39.Divide ₹133 between Manav and Saanvi in the ratio 5 : 2. How much does Manav get (in ₹)?
  40. 40.2 : 11 = 12 : ?

Answer key

  1. 45
  2. 40
  3. 52
  4. 114
  5. 78
  6. 385
  7. 52
  8. 405
  9. 200
  10. 8
  11. 48
  12. 36
  13. 75
  14. 64
  15. 150
  16. 32
  17. 306
  18. 27
  19. 64
  20. 7
  21. 20
  22. 56
  23. 264
  24. 12
  25. 225
  26. 35
  27. 96
  28. 12
  29. 17
  30. 20
  31. 112
  32. 49
  33. 30
  34. 22
  35. 114
  36. 25
  37. 6
  38. 16
  39. 95
  40. 66

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