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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 13 · 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 ₹182 between Pooja and Diya in the ratio 7 : 6. How much does Pooja get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 4. There are 25 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  4. 4.Divide ₹90 between Farhan and Ishaan in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  5. 5.3 : 2 = 18 : ?
  6. 6.2 : 5 = 10 : ?
  7. 7.4 : 10 = 20 : ?
  8. 8.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  9. 9.10 : 9 = 30 : ?
  10. 10.12 : 6 = 36 : ?
  11. 11.10 : 12 = 80 : ?
  12. 12.Divide ₹399 between Tara and Pooja in the ratio 3 : 4. How much does Pooja get (in ₹)?
  13. 13.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  14. 14.Divide ₹615 between Kabir and Arjun in the ratio 8 : 7. How much does Kabir get (in ₹)?
  15. 15.Divide ₹240 between Farhan and Aarav in the ratio 9 : 7. How much does Farhan get (in ₹)?
  16. 16.7 : 5 = 35 : ?
  17. 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  18. 18.Divide ₹159 between Dev and Farhan in the ratio 2 : 1. How much does Dev get (in ₹)?
  19. 19.Divide ₹66 between Dev and Pooja in the ratio 5 : 6. How much does Dev get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
  21. 21.Divide ₹473 between Priya and Pooja in the ratio 5 : 6. How much does Priya get (in ₹)?
  22. 22.Divide ₹308 between Nisha and Karan in the ratio 4 : 7. How much does Nisha get (in ₹)?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
  25. 25.Divide ₹517 between Kabir and Rohan in the ratio 5 : 6. How much does Kabir get (in ₹)?
  26. 26.8 : 9 = 24 : ?
  27. 27.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  29. 29.Divide ₹420 between Kavya and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
  30. 30.Divide ₹198 between Ishaan and Dev in the ratio 4 : 7. How much does Ishaan get (in ₹)?
  31. 31.Divide ₹144 between Sneha and Kavya in the ratio 5 : 3. How much does Kavya get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  33. 33.5 : 2 = 10 : ?
  34. 34.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  35. 35.Divide ₹169 between Rahul and Aarav in the ratio 7 : 6. How much does Aarav get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
  38. 38.Divide ₹297 between Dev and Farhan in the ratio 9 : 2. How much does Farhan get (in ₹)?
  39. 39.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  40. 40.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).

Answer key

  1. 98
  2. 20
  3. 16
  4. 72
  5. 12
  6. 25
  7. 50
  8. 150
  9. 27
  10. 18
  11. 96
  12. 228
  13. 64
  14. 328
  15. 135
  16. 25
  17. 50
  18. 106
  19. 30
  20. 30
  21. 215
  22. 112
  23. 125
  24. 35
  25. 235
  26. 27
  27. 16
  28. 8
  29. 360
  30. 72
  31. 54
  32. 5
  33. 4
  34. 225
  35. 78
  36. 12
  37. 15
  38. 54
  39. 72
  40. 144

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