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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 46 · 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 ₹126 between Aarav and Karan in the ratio 2 : 1. How much does Aarav get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  3. 3.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
  4. 4.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  5. 5.3 : 7 = 6 : ?
  6. 6.9 : 8 = 45 : ?
  7. 7.Divide ₹660 between Nisha and Meera in the ratio 8 : 3. How much does Meera get (in ₹)?
  8. 8.11 : 4 = 44 : ?
  9. 9.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  10. 10.The ratio of boys to girls in a class is 2 : 9. There are 20 boys. How many girls are there?
  11. 11.Divide ₹45 between Meera and Ishaan in the ratio 2 : 1. How much does Ishaan get (in ₹)?
  12. 12.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  13. 13.2 : 14 = 6 : ?
  14. 14.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  15. 15.Divide ₹48 between Rahul and Diya in the ratio 2 : 1. How much does Diya get (in ₹)?
  16. 16.Divide ₹64 between Aditya and Rahul in the ratio 1 : 7. How much does Aditya get (in ₹)?
  17. 17.Divide ₹280 between Karan and Ananya in the ratio 1 : 4. How much does Karan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
  21. 21.Divide ₹35 between Meera and Priya in the ratio 2 : 3. How much does Meera get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
  23. 23.Divide ₹35 between Tara and Kabir in the ratio 4 : 1. How much does Tara get (in ₹)?
  24. 24.Divide ₹204 between Rahul and Diya in the ratio 7 : 5. How much does Rahul get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  26. 26.Divide ₹190 between Diya and Kavya in the ratio 3 : 2. How much does Kavya get (in ₹)?
  27. 27.5 : 14 = 25 : ?
  28. 28.Divide ₹539 between Saanvi and Manav in the ratio 2 : 9. How much does Manav get (in ₹)?
  29. 29.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  30. 30.Divide ₹270 between Sneha and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  31. 31.Divide ₹112 between Arjun and Isha in the ratio 7 : 9. How much does Arjun get (in ₹)?
  32. 32.9 : 15 = 27 : ?
  33. 33.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  34. 34.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  35. 35.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  36. 36.2 : 10 = 18 : ?
  37. 37.Divide ₹104 between Ananya and Saanvi in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
  39. 39.Divide ₹125 between Manav and Priya in the ratio 2 : 3. How much does Manav get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?

Answer key

  1. 84
  2. 24
  3. 18
  4. 81
  5. 14
  6. 40
  7. 180
  8. 16
  9. 14
  10. 90
  11. 15
  12. 48
  13. 42
  14. 75
  15. 16
  16. 8
  17. 56
  18. 27
  19. 175
  20. 35
  21. 14
  22. 36
  23. 28
  24. 119
  25. 20
  26. 76
  27. 70
  28. 441
  29. 100
  30. 81
  31. 49
  32. 45
  33. 27
  34. 20
  35. 63
  36. 90
  37. 26
  38. 64
  39. 50
  40. 20

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