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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 430 · 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 ₹132 between Diya and Aditya in the ratio 7 : 4. How much does Diya get (in ₹)?
  2. 2.2 : 6 = 8 : ?
  3. 3.4 : 11 = 20 : ?
  4. 4.Divide ₹35 between Aarav and Meera in the ratio 2 : 5. How much does Meera get (in ₹)?
  5. 5.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  6. 6.Divide ₹126 between Kavya and Kabir in the ratio 2 : 1. How much does Kabir get (in ₹)?
  7. 7.Divide ₹280 between Ishaan and Ananya in the ratio 5 : 3. How much does Ishaan get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  10. 10.9 : 10 = 81 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
  12. 12.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  13. 13.3 : 6 = 18 : ?
  14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  15. 15.Divide ₹672 between Farhan and Karan in the ratio 5 : 7. How much does Farhan get (in ₹)?
  16. 16.Divide ₹256 between Zoya and Rohan in the ratio 3 : 5. How much does Zoya get (in ₹)?
  17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  18. 18.Divide ₹465 between Manav and Meera in the ratio 7 : 8. How much does Meera get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  20. 20.5 : 2 = 35 : ?
  21. 21.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
  22. 22.Divide ₹105 between Zoya and Meera in the ratio 5 : 2. How much does Zoya get (in ₹)?
  23. 23.Divide ₹225 between Ananya and Ishaan in the ratio 4 : 5. How much does Ananya get (in ₹)?
  24. 24.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  25. 25.10 : 3 = 80 : ?
  26. 26.Divide ₹55 between Zoya and Meera in the ratio 4 : 7. How much does Meera get (in ₹)?
  27. 27.Divide ₹150 between Kabir and Kavya in the ratio 9 : 1. How much does Kavya get (in ₹)?
  28. 28.4 : 9 = 16 : ?
  29. 29.Divide ₹406 between Nisha and Priya in the ratio 5 : 2. How much does Nisha get (in ₹)?
  30. 30.5 : 13 = 40 : ?
  31. 31.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  32. 32.Divide ₹217 between Aarav and Tara in the ratio 1 : 6. How much does Aarav get (in ₹)?
  33. 33.6 : 7 = 18 : ?
  34. 34.7 : 6 = 14 : ?
  35. 35.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  37. 37.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  38. 38.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  39. 39.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  40. 40.12 : 2 = 48 : ?

Answer key

  1. 84
  2. 24
  3. 55
  4. 25
  5. 28
  6. 42
  7. 175
  8. 10
  9. 10
  10. 90
  11. 16
  12. 80
  13. 36
  14. 63
  15. 280
  16. 96
  17. 8
  18. 248
  19. 50
  20. 14
  21. 64
  22. 75
  23. 100
  24. 54
  25. 24
  26. 35
  27. 15
  28. 36
  29. 290
  30. 104
  31. 54
  32. 31
  33. 21
  34. 12
  35. 100
  36. 128
  37. 12
  38. 48
  39. 45
  40. 8

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