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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 647 · 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).

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  1. 1.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  2. 2.Divide ₹495 between Dev and Nisha in the ratio 9 : 2. How much does Nisha get (in ₹)?
  3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  4. 4.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  5. 5.Divide ₹468 between Nisha and Arjun in the ratio 5 : 8. How much does Arjun get (in ₹)?
  6. 6.7 : 15 = 21 : ?
  7. 7.Divide ₹338 between Sneha and Nisha in the ratio 4 : 9. How much does Sneha get (in ₹)?
  8. 8.8 : 3 = 32 : ?
  9. 9.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
  10. 10.9 : 2 = 63 : ?
  11. 11.4 : 14 = 8 : ?
  12. 12.Divide ₹24 between Kavya and Kabir in the ratio 3 : 1. How much does Kavya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
  14. 14.Divide ₹530 between Diya and Zoya in the ratio 1 : 9. How much does Diya get (in ₹)?
  15. 15.Divide ₹216 between Kavya and Kabir in the ratio 3 : 5. How much does Kavya get (in ₹)?
  16. 16.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  17. 17.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
  18. 18.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.Divide ₹560 between Nisha and Rohan in the ratio 7 : 9. How much does Rohan get (in ₹)?
  21. 21.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  22. 22.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  23. 23.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  24. 24.Divide ₹165 between Saanvi and Zoya in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  25. 25.Divide ₹195 between Tara and Vivaan in the ratio 7 : 6. How much does Tara get (in ₹)?
  26. 26.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  27. 27.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
  28. 28.Divide ₹245 between Diya and Aarav in the ratio 4 : 1. How much does Aarav get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  30. 30.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  31. 31.9 : 14 = 45 : ?
  32. 32.2 : 7 = 12 : ?
  33. 33.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  34. 34.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  35. 35.Divide ₹333 between Aditya and Rohan in the ratio 1 : 8. How much does Rohan get (in ₹)?
  36. 36.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  37. 37.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
  38. 38.Divide ₹108 between Priya and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
  39. 39.4 : 10 = 28 : ?
  40. 40.8 : 3 = 72 : ?

Answer key

  1. 32
  2. 90
  3. 50
  4. 18
  5. 288
  6. 45
  7. 104
  8. 12
  9. 36
  10. 14
  11. 28
  12. 18
  13. 18
  14. 53
  15. 81
  16. 36
  17. 20
  18. 9
  19. 175
  20. 315
  21. 18
  22. 125
  23. 40
  24. 30
  25. 105
  26. 72
  27. 10
  28. 49
  29. 40
  30. 200
  31. 70
  32. 42
  33. 54
  34. 12
  35. 296
  36. 20
  37. 10
  38. 96
  39. 70
  40. 27

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