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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 40 · 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).

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  1. 1.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  2. 2.Divide ₹330 between Aditya and Rahul in the ratio 2 : 9. How much does Aditya get (in ₹)?
  3. 3.Divide ₹154 between Kavya and Tara in the ratio 5 : 2. How much does Tara get (in ₹)?
  4. 4.Divide ₹451 between Isha and Meera in the ratio 7 : 4. How much does Isha get (in ₹)?
  5. 5.2 : 11 = 10 : ?
  6. 6.10 : 8 = 50 : ?
  7. 7.Divide ₹187 between Meera and Rahul in the ratio 2 : 9. How much does Rahul get (in ₹)?
  8. 8.12 : 11 = 84 : ?
  9. 9.Divide ₹80 between Rahul and Kavya in the ratio 2 : 3. How much does Kavya get (in ₹)?
  10. 10.Divide ₹112 between Priya and Diya in the ratio 1 : 3. How much does Diya get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
  13. 13.3 : 8 = 6 : ?
  14. 14.Divide ₹105 between Isha and Farhan in the ratio 3 : 4. How much does Isha get (in ₹)?
  15. 15.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  16. 16.Divide ₹441 between Sneha and Karan in the ratio 2 : 7. How much does Karan get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
  18. 18.9 : 5 = 18 : ?
  19. 19.7 : 8 = 28 : ?
  20. 20.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  21. 21.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
  22. 22.Divide ₹165 between Farhan and Rahul in the ratio 5 : 6. How much does Rahul get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  24. 24.Divide ₹168 between Ishaan and Dev in the ratio 1 : 6. How much does Dev get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  26. 26.Divide ₹378 between Farhan and Aditya in the ratio 7 : 2. How much does Farhan get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  28. 28.Divide ₹742 between Saanvi and Vivaan in the ratio 9 : 5. How much does Vivaan get (in ₹)?
  29. 29.Divide ₹65 between Zoya and Saanvi in the ratio 3 : 2. How much does Zoya get (in ₹)?
  30. 30.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  31. 31.Divide ₹160 between Zoya and Kabir in the ratio 7 : 1. How much does Zoya get (in ₹)?
  32. 32.10 : 12 = 30 : ?
  33. 33.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  34. 34.Divide ₹486 between Sneha and Aditya in the ratio 8 : 1. How much does Aditya get (in ₹)?
  35. 35.11 : 7 = 55 : ?
  36. 36.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
  37. 37.Divide ₹50 between Pooja and Aarav in the ratio 1 : 9. How much does Pooja get (in ₹)?
  38. 38.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  39. 39.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  40. 40.Divide ₹550 between Arjun and Vivaan in the ratio 7 : 4. How much does Arjun get (in ₹)?

Answer key

  1. 12
  2. 60
  3. 44
  4. 287
  5. 55
  6. 40
  7. 153
  8. 77
  9. 48
  10. 84
  11. 27
  12. 20
  13. 16
  14. 45
  15. 18
  16. 343
  17. 18
  18. 10
  19. 32
  20. 16
  21. 30
  22. 90
  23. 2
  24. 144
  25. 28
  26. 294
  27. 21
  28. 265
  29. 39
  30. 36
  31. 140
  32. 36
  33. 6
  34. 54
  35. 35
  36. 42
  37. 5
  38. 150
  39. 28
  40. 350

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