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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 164 · 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 ₹288 between Rahul and Kabir in the ratio 7 : 9. How much does Kabir get (in ₹)?
  2. 2.Divide ₹75 between Kavya and Saanvi in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  3. 3.3 : 11 = 15 : ?
  4. 4.The ratio of boys to girls in a class is 9 : 7. There are 72 boys. How many girls are there?
  5. 5.Divide ₹169 between Kavya and Aditya in the ratio 9 : 4. How much does Kavya get (in ₹)?
  6. 6.Divide ₹260 between Ishaan and Vivaan in the ratio 8 : 5. How much does Ishaan get (in ₹)?
  7. 7.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  8. 8.The ratio of boys to girls in a class is 2 : 5. There are 10 boys. How many girls are there?
  9. 9.Divide ₹429 between Ananya and Meera in the ratio 7 : 6. How much does Ananya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  11. 11.2 : 4 = 18 : ?
  12. 12.5 : 14 = 10 : ?
  13. 13.Divide ₹198 between Tara and Karan in the ratio 7 : 2. How much does Tara get (in ₹)?
  14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  15. 15.Divide ₹56 between Aditya and Tara in the ratio 7 : 1. How much does Aditya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  17. 17.8 : 13 = 56 : ?
  18. 18.7 : 5 = 21 : ?
  19. 19.11 : 8 = 99 : ?
  20. 20.Divide ₹168 between Zoya and Vivaan in the ratio 3 : 4. How much does Zoya get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  22. 22.Divide ₹690 between Aditya and Ishaan in the ratio 7 : 8. How much does Ishaan get (in ₹)?
  23. 23.Divide ₹126 between Isha and Sneha in the ratio 1 : 8. How much does Sneha get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  25. 25.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  26. 26.9 : 10 = 18 : ?
  27. 27.Divide ₹18 between Ishaan and Zoya in the ratio 1 : 2. How much does Zoya get (in ₹)?
  28. 28.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  29. 29.2 : 12 = 4 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
  31. 31.Divide ₹750 between Karan and Aditya in the ratio 7 : 8. How much does Aditya get (in ₹)?
  32. 32.2 : 5 = 4 : ?
  33. 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  35. 35.Divide ₹638 between Aarav and Ishaan in the ratio 9 : 2. How much does Aarav get (in ₹)?
  36. 36.Divide ₹504 between Priya and Sneha in the ratio 2 : 7. How much does Sneha get (in ₹)?
  37. 37.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  38. 38.Divide ₹247 between Aarav and Arjun in the ratio 7 : 6. How much does Aarav get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  40. 40.Divide ₹132 between Dev and Pooja in the ratio 3 : 8. How much does Dev get (in ₹)?

Answer key

  1. 162
  2. 15
  3. 55
  4. 56
  5. 117
  6. 160
  7. 64
  8. 25
  9. 231
  10. 8
  11. 36
  12. 28
  13. 154
  14. 63
  15. 49
  16. 10
  17. 91
  18. 15
  19. 72
  20. 72
  21. 28
  22. 368
  23. 112
  24. 8
  25. 12
  26. 20
  27. 12
  28. 75
  29. 24
  30. 30
  31. 400
  32. 10
  33. 225
  34. 128
  35. 522
  36. 392
  37. 72
  38. 133
  39. 10
  40. 36

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