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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 729 · 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. 1.7 : 4 = 63 : ?
  2. 2.Divide ₹231 between Vivaan and Aarav in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  3. 3.Divide ₹45 between Kavya and Zoya in the ratio 3 : 2. How much does Zoya get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  5. 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  6. 6.Divide ₹350 between Ishaan and Isha in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  7. 7.Divide ₹531 between Diya and Ishaan in the ratio 5 : 4. How much does Diya get (in ₹)?
  8. 8.Divide ₹481 between Ishaan and Arjun in the ratio 9 : 4. How much does Arjun get (in ₹)?
  9. 9.2 : 12 = 14 : ?
  10. 10.Divide ₹432 between Ishaan and Ananya in the ratio 9 : 7. How much does Ishaan get (in ₹)?
  11. 11.10 : 9 = 60 : ?
  12. 12.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  13. 13.11 : 4 = 33 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  15. 15.Divide ₹370 between Saanvi and Rohan in the ratio 1 : 9. How much does Rohan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 1 : 6. There are 10 boys. How many girls are there?
  17. 17.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  18. 18.8 : 5 = 48 : ?
  19. 19.5 : 8 = 10 : ?
  20. 20.Divide ₹252 between Manav and Aarav in the ratio 7 : 2. How much does Manav get (in ₹)?
  21. 21.6 : 12 = 48 : ?
  22. 22.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  23. 23.Divide ₹195 between Zoya and Ananya in the ratio 9 : 4. How much does Ananya get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
  25. 25.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  26. 26.2 : 8 = 14 : ?
  27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  28. 28.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  29. 29.4 : 3 = 8 : ?
  30. 30.The ratio of boys to girls in a class is 8 : 3. There are 80 boys. How many girls are there?
  31. 31.11 : 3 = 88 : ?
  32. 32.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  33. 33.2 : 14 = 6 : ?
  34. 34.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
  35. 35.Divide ₹400 between Meera and Karan in the ratio 5 : 3. How much does Meera get (in ₹)?
  36. 36.7 : 2 = 28 : ?
  37. 37.4 : 3 = 16 : ?
  38. 38.Divide ₹748 between Sneha and Aarav in the ratio 9 : 8. How much does Sneha get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 3. There are 42 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?

Answer key

  1. 36
  2. 63
  3. 18
  4. 4
  5. 200
  6. 245
  7. 295
  8. 148
  9. 84
  10. 243
  11. 54
  12. 175
  13. 12
  14. 70
  15. 333
  16. 60
  17. 150
  18. 30
  19. 16
  20. 196
  21. 96
  22. 50
  23. 60
  24. 25
  25. 63
  26. 56
  27. 32
  28. 36
  29. 6
  30. 30
  31. 24
  32. 45
  33. 42
  34. 18
  35. 250
  36. 8
  37. 12
  38. 396
  39. 18
  40. 18

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