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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 154 · 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 ₹767 between Vivaan and Tara in the ratio 9 : 4. How much does Tara get (in ₹)?
  2. 2.Divide ₹513 between Ishaan and Kavya in the ratio 5 : 4. How much does Ishaan get (in ₹)?
  3. 3.Divide ₹320 between Meera and Aditya in the ratio 7 : 9. How much does Meera get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
  5. 5.9 : 6 = 72 : ?
  6. 6.Divide ₹363 between Isha and Kavya in the ratio 7 : 4. How much does Isha get (in ₹)?
  7. 7.12 : 5 = 60 : ?
  8. 8.12 : 10 = 48 : ?
  9. 9.3 : 9 = 18 : ?
  10. 10.Divide ₹330 between Arjun and Kavya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  11. 11.Divide ₹266 between Saanvi and Ananya in the ratio 9 : 5. How much does Ananya get (in ₹)?
  12. 12.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  13. 13.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  15. 15.5 : 14 = 10 : ?
  16. 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  17. 17.8 : 2 = 56 : ?
  18. 18.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
  20. 20.Divide ₹145 between Saanvi and Karan in the ratio 3 : 2. How much does Karan get (in ₹)?
  21. 21.11 : 10 = 22 : ?
  22. 22.Divide ₹308 between Tara and Rahul in the ratio 5 : 6. How much does Tara get (in ₹)?
  23. 23.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  24. 24.Divide ₹473 between Aditya and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
  25. 25.Divide ₹77 between Pooja and Rahul in the ratio 2 : 5. How much does Pooja get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  28. 28.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  29. 29.Divide ₹697 between Ishaan and Kabir in the ratio 9 : 8. How much does Kabir get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
  32. 32.Divide ₹255 between Sneha and Priya in the ratio 2 : 3. How much does Priya get (in ₹)?
  33. 33.Divide ₹24 between Ishaan and Priya in the ratio 2 : 1. How much does Priya get (in ₹)?
  34. 34.4 : 6 = 16 : ?
  35. 35.Divide ₹400 between Kabir and Meera in the ratio 9 : 7. How much does Kabir get (in ₹)?
  36. 36.Divide ₹470 between Rohan and Kavya in the ratio 7 : 3. How much does Rohan get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  38. 38.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  39. 39.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  40. 40.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?

Answer key

  1. 236
  2. 285
  3. 140
  4. 10
  5. 48
  6. 231
  7. 25
  8. 40
  9. 54
  10. 99
  11. 95
  12. 225
  13. 14
  14. 18
  15. 28
  16. 16
  17. 14
  18. 8
  19. 4
  20. 58
  21. 20
  22. 140
  23. 125
  24. 387
  25. 22
  26. 16
  27. 18
  28. 50
  29. 328
  30. 21
  31. 20
  32. 153
  33. 8
  34. 24
  35. 225
  36. 329
  37. 6
  38. 48
  39. 64
  40. 6

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