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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 438 · 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 ₹184 between Arjun and Kavya in the ratio 1 : 3. How much does Kavya get (in ₹)?
  2. 2.Divide ₹270 between Pooja and Ishaan in the ratio 2 : 3. How much does Ishaan get (in ₹)?
  3. 3.11 : 14 = 44 : ?
  4. 4.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  7. 7.Divide ₹441 between Priya and Vivaan in the ratio 5 : 4. How much does Priya get (in ₹)?
  8. 8.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  9. 9.Divide ₹28 between Meera and Aarav in the ratio 1 : 3. How much does Meera get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 1 : 5. There are 4 boys. How many girls are there?
  11. 11.Divide ₹756 between Vivaan and Kabir in the ratio 9 : 5. How much does Kabir get (in ₹)?
  12. 12.Divide ₹250 between Rohan and Dev in the ratio 2 : 3. How much does Rohan get (in ₹)?
  13. 13.3 : 2 = 9 : ?
  14. 14.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  15. 15.Divide ₹650 between Isha and Farhan in the ratio 5 : 8. How much does Isha get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  17. 17.Divide ₹154 between Diya and Sneha in the ratio 2 : 5. How much does Sneha get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  19. 19.7 : 15 = 42 : ?
  20. 20.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  21. 21.Divide ₹126 between Aarav and Tara in the ratio 1 : 8. How much does Aarav get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  23. 23.Divide ₹112 between Dev and Kavya in the ratio 1 : 6. How much does Kavya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  25. 25.Divide ₹170 between Ananya and Diya in the ratio 8 : 9. How much does Ananya get (in ₹)?
  26. 26.Divide ₹280 between Dev and Diya in the ratio 4 : 1. How much does Dev get (in ₹)?
  27. 27.Divide ₹385 between Nisha and Aarav in the ratio 3 : 8. How much does Aarav get (in ₹)?
  28. 28.5 : 14 = 15 : ?
  29. 29.Divide ₹135 between Diya and Pooja in the ratio 1 : 8. How much does Diya get (in ₹)?
  30. 30.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  31. 31.Divide ₹901 between Pooja and Kabir in the ratio 8 : 9. How much does Pooja get (in ₹)?
  32. 32.Divide ₹252 between Vivaan and Kabir in the ratio 3 : 4. How much does Vivaan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  34. 34.11 : 8 = 33 : ?
  35. 35.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  36. 36.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  37. 37.Divide ₹494 between Zoya and Ananya in the ratio 5 : 8. How much does Ananya get (in ₹)?
  38. 38.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  39. 39.Divide ₹190 between Farhan and Pooja in the ratio 7 : 3. How much does Pooja get (in ₹)?
  40. 40.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).

Answer key

  1. 138
  2. 162
  3. 56
  4. 36
  5. 24
  6. 18
  7. 245
  8. 125
  9. 7
  10. 20
  11. 270
  12. 100
  13. 6
  14. 16
  15. 250
  16. 36
  17. 110
  18. 28
  19. 90
  20. 32
  21. 14
  22. 28
  23. 96
  24. 12
  25. 80
  26. 224
  27. 280
  28. 42
  29. 15
  30. 175
  31. 424
  32. 108
  33. 6
  34. 24
  35. 6
  36. 12
  37. 304
  38. 18
  39. 57
  40. 32

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