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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 431 · 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.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  2. 2.Divide ₹330 between Rahul and Rohan in the ratio 1 : 9. How much does Rohan get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  4. 4.Divide ₹272 between Isha and Kavya in the ratio 1 : 7. How much does Isha get (in ₹)?
  5. 5.11 : 5 = 66 : ?
  6. 6.Divide ₹832 between Rahul and Diya in the ratio 7 : 9. How much does Diya get (in ₹)?
  7. 7.5 : 10 = 30 : ?
  8. 8.Divide ₹408 between Isha and Nisha in the ratio 8 : 9. How much does Isha get (in ₹)?
  9. 9.8 : 5 = 24 : ?
  10. 10.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  11. 11.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  12. 12.4 : 6 = 36 : ?
  13. 13.Divide ₹310 between Vivaan and Farhan in the ratio 9 : 1. How much does Vivaan get (in ₹)?
  14. 14.Divide ₹364 between Ananya and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
  16. 16.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
  18. 18.10 : 4 = 90 : ?
  19. 19.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
  21. 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  22. 22.7 : 14 = 21 : ?
  23. 23.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  24. 24.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  25. 25.Divide ₹72 between Tara and Saanvi in the ratio 2 : 1. How much does Tara get (in ₹)?
  26. 26.Divide ₹190 between Aarav and Sneha in the ratio 3 : 7. How much does Sneha get (in ₹)?
  27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  29. 29.Divide ₹280 between Sneha and Farhan in the ratio 3 : 4. How much does Sneha get (in ₹)?
  30. 30.11 : 6 = 33 : ?
  31. 31.Divide ₹192 between Tara and Arjun in the ratio 1 : 5. How much does Tara get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  33. 33.Divide ₹374 between Meera and Rohan in the ratio 3 : 8. How much does Rohan get (in ₹)?
  34. 34.Divide ₹540 between Vivaan and Zoya in the ratio 1 : 9. How much does Zoya get (in ₹)?
  35. 35.9 : 7 = 27 : ?
  36. 36.Divide ₹440 between Karan and Meera in the ratio 9 : 2. How much does Meera get (in ₹)?
  37. 37.10 : 5 = 20 : ?
  38. 38.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?

Answer key

  1. 45
  2. 297
  3. 50
  4. 34
  5. 30
  6. 468
  7. 60
  8. 192
  9. 15
  10. 200
  11. 7
  12. 54
  13. 279
  14. 52
  15. 28
  16. 6
  17. 28
  18. 36
  19. 4
  20. 16
  21. 32
  22. 42
  23. 4
  24. 225
  25. 48
  26. 133
  27. 18
  28. 20
  29. 120
  30. 18
  31. 32
  32. 6
  33. 272
  34. 486
  35. 21
  36. 80
  37. 10
  38. 10
  39. 2
  40. 35

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