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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 25 · 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 ₹130 between Tara and Aditya in the ratio 7 : 6. How much does Tara get (in ₹)?
  2. 2.5 : 7 = 40 : ?
  3. 3.3 : 12 = 21 : ?
  4. 4.Divide ₹198 between Kavya and Aarav in the ratio 8 : 3. How much does Kavya get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  7. 7.Divide ₹494 between Vivaan and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
  8. 8.Divide ₹182 between Rohan and Vivaan in the ratio 8 : 5. How much does Vivaan get (in ₹)?
  9. 9.Divide ₹111 between Kavya and Priya in the ratio 2 : 1. How much does Kavya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
  11. 11.Divide ₹468 between Tara and Kavya in the ratio 9 : 4. How much does Tara get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
  13. 13.4 : 9 = 8 : ?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.10 : 7 = 90 : ?
  16. 16.Divide ₹280 between Aarav and Meera in the ratio 3 : 7. How much does Meera get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
  18. 18.Divide ₹507 between Aditya and Sneha in the ratio 5 : 8. How much does Aditya get (in ₹)?
  19. 19.Divide ₹220 between Aarav and Meera in the ratio 2 : 3. How much does Aarav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 7 : 4. There are 49 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  24. 24.5 : 7 = 10 : ?
  25. 25.Divide ₹130 between Tara and Sneha in the ratio 7 : 3. How much does Tara get (in ₹)?
  26. 26.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  27. 27.Divide ₹250 between Pooja and Nisha in the ratio 3 : 2. How much does Pooja get (in ₹)?
  28. 28.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  29. 29.Divide ₹170 between Zoya and Aarav in the ratio 7 : 3. How much does Aarav get (in ₹)?
  30. 30.2 : 13 = 18 : ?
  31. 31.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  32. 32.12 : 9 = 36 : ?
  33. 33.Divide ₹231 between Ishaan and Sneha in the ratio 4 : 7. How much does Sneha get (in ₹)?
  34. 34.Divide ₹72 between Aditya and Karan in the ratio 2 : 1. How much does Aditya get (in ₹)?
  35. 35.Divide ₹287 between Diya and Manav in the ratio 4 : 3. How much does Manav get (in ₹)?
  36. 36.Divide ₹48 between Farhan and Dev in the ratio 5 : 1. How much does Dev get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
  38. 38.Divide ₹561 between Isha and Rohan in the ratio 7 : 4. How much does Rohan get (in ₹)?
  39. 39.Divide ₹336 between Rohan and Aditya in the ratio 5 : 7. How much does Aditya get (in ₹)?
  40. 40.Divide ₹100 between Nisha and Pooja in the ratio 7 : 3. How much does Pooja get (in ₹)?

Answer key

  1. 70
  2. 56
  3. 84
  4. 144
  5. 32
  6. 24
  7. 190
  8. 70
  9. 74
  10. 24
  11. 324
  12. 9
  13. 18
  14. 8
  15. 63
  16. 196
  17. 16
  18. 195
  19. 88
  20. 90
  21. 28
  22. 15
  23. 56
  24. 14
  25. 91
  26. 80
  27. 150
  28. 36
  29. 51
  30. 117
  31. 36
  32. 27
  33. 147
  34. 48
  35. 123
  36. 8
  37. 10
  38. 204
  39. 196
  40. 30

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