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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 403 · 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.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  2. 2.Divide ₹340 between Diya and Sneha in the ratio 1 : 9. How much does Sneha get (in ₹)?
  3. 3.Divide ₹285 between Manav and Farhan in the ratio 3 : 2. How much does Manav get (in ₹)?
  4. 4.4 : 8 = 24 : ?
  5. 5.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  6. 6.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  7. 7.2 : 14 = 14 : ?
  8. 8.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  9. 9.Divide ₹741 between Diya and Kabir in the ratio 7 : 6. How much does Kabir get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
  12. 12.12 : 14 = 36 : ?
  13. 13.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
  14. 14.Divide ₹125 between Nisha and Arjun in the ratio 3 : 2. How much does Nisha get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  16. 16.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  17. 17.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  18. 18.Divide ₹36 between Sneha and Vivaan in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  19. 19.Divide ₹462 between Saanvi and Aarav in the ratio 7 : 4. How much does Aarav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 9 : 2. There are 63 boys. How many girls are there?
  21. 21.7 : 13 = 35 : ?
  22. 22.3 : 10 = 9 : ?
  23. 23.Divide ₹583 between Sneha and Pooja in the ratio 2 : 9. How much does Sneha get (in ₹)?
  24. 24.Divide ₹170 between Priya and Kavya in the ratio 9 : 8. How much does Priya get (in ₹)?
  25. 25.12 : 5 = 96 : ?
  26. 26.Divide ₹533 between Aarav and Rohan in the ratio 7 : 6. How much does Rohan get (in ₹)?
  27. 27.Divide ₹75 between Pooja and Kabir in the ratio 4 : 1. How much does Pooja get (in ₹)?
  28. 28.6 : 7 = 42 : ?
  29. 29.Divide ₹176 between Ishaan and Vivaan in the ratio 1 : 3. How much does Ishaan get (in ₹)?
  30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  31. 31.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  32. 32.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  33. 33.Divide ₹594 between Farhan and Nisha in the ratio 7 : 4. How much does Nisha get (in ₹)?
  34. 34.Divide ₹285 between Arjun and Tara in the ratio 3 : 2. How much does Arjun get (in ₹)?
  35. 35.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  36. 36.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  38. 38.Divide ₹132 between Ananya and Kavya in the ratio 8 : 3. How much does Kavya get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  40. 40.Divide ₹165 between Aditya and Aarav in the ratio 1 : 2. How much does Aditya get (in ₹)?

Answer key

  1. 18
  2. 306
  3. 171
  4. 48
  5. 28
  6. 125
  7. 98
  8. 3
  9. 342
  10. 48
  11. 27
  12. 42
  13. 8
  14. 75
  15. 30
  16. 144
  17. 12
  18. 12
  19. 168
  20. 14
  21. 65
  22. 30
  23. 106
  24. 90
  25. 40
  26. 246
  27. 60
  28. 49
  29. 44
  30. 18
  31. 81
  32. 4
  33. 216
  34. 171
  35. 72
  36. 8
  37. 4
  38. 36
  39. 10
  40. 55

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