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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 987 · 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 ₹512 between Arjun and Rohan in the ratio 9 : 7. How much does Arjun get (in ₹)?
  2. 2.5 : 13 = 35 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?
  4. 4.2 : 14 = 12 : ?
  5. 5.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
  6. 6.Divide ₹252 between Kabir and Vivaan in the ratio 4 : 5. How much does Kabir get (in ₹)?
  7. 7.Divide ₹648 between Kabir and Manav in the ratio 5 : 7. How much does Manav get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 5. There are 27 boys. How many girls are there?
  9. 9.Divide ₹110 between Sneha and Aditya in the ratio 3 : 8. How much does Aditya get (in ₹)?
  10. 10.Divide ₹477 between Nisha and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  11. 11.Divide ₹35 between Pooja and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  12. 12.8 : 5 = 56 : ?
  13. 13.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
  14. 14.Divide ₹245 between Tara and Saanvi in the ratio 4 : 1. How much does Tara get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  16. 16.11 : 4 = 55 : ?
  17. 17.Divide ₹110 between Nisha and Rohan in the ratio 3 : 8. How much does Rohan get (in ₹)?
  18. 18.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  19. 19.11 : 2 = 88 : ?
  20. 20.11 : 10 = 88 : ?
  21. 21.Divide ₹48 between Pooja and Isha in the ratio 1 : 7. How much does Pooja get (in ₹)?
  22. 22.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  23. 23.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  24. 24.Divide ₹660 between Meera and Kabir in the ratio 7 : 4. How much does Kabir get (in ₹)?
  25. 25.Divide ₹368 between Pooja and Kabir in the ratio 7 : 1. How much does Pooja get (in ₹)?
  26. 26.5 : 9 = 15 : ?
  27. 27.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  28. 28.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  29. 29.Divide ₹170 between Tara and Diya in the ratio 9 : 8. How much does Diya get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  31. 31.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  32. 32.5 : 12 = 10 : ?
  33. 33.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  34. 34.Divide ₹338 between Kavya and Kabir in the ratio 5 : 8. How much does Kavya get (in ₹)?
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.Divide ₹185 between Rahul and Kabir in the ratio 3 : 2. How much does Rahul get (in ₹)?
  37. 37.Divide ₹299 between Sneha and Vivaan in the ratio 5 : 8. How much does Vivaan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  39. 39.Divide ₹256 between Tara and Aarav in the ratio 3 : 5. How much does Tara get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?

Answer key

  1. 288
  2. 91
  3. 27
  4. 84
  5. 8
  6. 112
  7. 378
  8. 45
  9. 80
  10. 106
  11. 5
  12. 35
  13. 16
  14. 196
  15. 49
  16. 20
  17. 80
  18. 225
  19. 16
  20. 80
  21. 6
  22. 112
  23. 28
  24. 240
  25. 322
  26. 27
  27. 72
  28. 16
  29. 80
  30. 6
  31. 18
  32. 24
  33. 36
  34. 130
  35. 36
  36. 111
  37. 184
  38. 30
  39. 96
  40. 6

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