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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 761 · 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 ₹232 between Zoya and Vivaan in the ratio 5 : 3. How much does Zoya get (in ₹)?
  2. 2.Divide ₹324 between Ananya and Farhan in the ratio 5 : 1. How much does Ananya get (in ₹)?
  3. 3.Divide ₹45 between Rohan and Farhan in the ratio 1 : 2. How much does Farhan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
  6. 6.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  7. 7.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  8. 8.Divide ₹297 between Ananya and Vivaan in the ratio 5 : 6. How much does Vivaan get (in ₹)?
  9. 9.4 : 8 = 28 : ?
  10. 10.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  11. 11.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  12. 12.12 : 5 = 108 : ?
  13. 13.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  14. 14.Divide ₹170 between Meera and Rahul in the ratio 2 : 3. How much does Rahul get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
  16. 16.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  17. 17.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  18. 18.Divide ₹224 between Zoya and Aditya in the ratio 7 : 9. How much does Aditya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  20. 20.Divide ₹187 between Arjun and Meera in the ratio 5 : 6. How much does Arjun get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  22. 22.Divide ₹135 between Rohan and Pooja in the ratio 2 : 7. How much does Pooja get (in ₹)?
  23. 23.Divide ₹25 between Nisha and Rahul in the ratio 2 : 3. How much does Nisha get (in ₹)?
  24. 24.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  25. 25.2 : 9 = 8 : ?
  26. 26.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  27. 27.Divide ₹145 between Saanvi and Diya in the ratio 4 : 1. How much does Diya get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  29. 29.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  30. 30.Divide ₹196 between Kavya and Ananya in the ratio 1 : 3. How much does Kavya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 7. There are 30 boys. How many girls are there?
  33. 33.10 : 2 = 70 : ?
  34. 34.8 : 12 = 24 : ?
  35. 35.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  36. 36.Divide ₹273 between Vivaan and Manav in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  37. 37.Divide ₹198 between Priya and Diya in the ratio 4 : 7. How much does Priya get (in ₹)?
  38. 38.11 : 6 = 99 : ?
  39. 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  40. 40.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).

Answer key

  1. 145
  2. 270
  3. 30
  4. 45
  5. 21
  6. 64
  7. 18
  8. 162
  9. 56
  10. 32
  11. 63
  12. 45
  13. 144
  14. 102
  15. 54
  16. 81
  17. 16
  18. 126
  19. 18
  20. 85
  21. 3
  22. 105
  23. 10
  24. 54
  25. 36
  26. 96
  27. 29
  28. 30
  29. 48
  30. 49
  31. 8
  32. 70
  33. 14
  34. 36
  35. 10
  36. 39
  37. 72
  38. 54
  39. 36
  40. 50

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