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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 496 · 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 5 and 10 (that is, 5 : 10 = 10 : ?).
  2. 2.Divide ₹221 between Sneha and Zoya in the ratio 8 : 5. How much does Sneha get (in ₹)?
  3. 3.8 : 9 = 72 : ?
  4. 4.3 : 2 = 9 : ?
  5. 5.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  6. 6.Divide ₹66 between Meera and Kabir in the ratio 8 : 3. How much does Kabir get (in ₹)?
  7. 7.4 : 10 = 16 : ?
  8. 8.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  9. 9.Divide ₹240 between Nisha and Aarav in the ratio 5 : 1. How much does Nisha get (in ₹)?
  10. 10.Divide ₹164 between Meera and Diya in the ratio 1 : 3. How much does Diya get (in ₹)?
  11. 11.Divide ₹684 between Ishaan and Saanvi in the ratio 5 : 7. How much does Ishaan get (in ₹)?
  12. 12.Divide ₹140 between Manav and Dev in the ratio 9 : 1. How much does Manav get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  14. 14.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  15. 15.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
  16. 16.7 : 5 = 56 : ?
  17. 17.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  18. 18.4 : 10 = 28 : ?
  19. 19.Divide ₹208 between Arjun and Diya in the ratio 3 : 5. How much does Arjun get (in ₹)?
  20. 20.Divide ₹200 between Aditya and Pooja in the ratio 4 : 1. How much does Pooja get (in ₹)?
  21. 21.2 : 10 = 16 : ?
  22. 22.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
  23. 23.3 : 6 = 18 : ?
  24. 24.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
  25. 25.Divide ₹288 between Ananya and Nisha in the ratio 8 : 1. How much does Ananya get (in ₹)?
  26. 26.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  27. 27.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  28. 28.The ratio of boys to girls in a class is 9 : 8. There are 54 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  31. 31.7 : 12 = 21 : ?
  32. 32.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  33. 33.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  34. 34.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
  35. 35.Divide ₹35 between Ishaan and Tara in the ratio 4 : 3. How much does Tara get (in ₹)?
  36. 36.Divide ₹104 between Kavya and Kabir in the ratio 5 : 3. How much does Kabir get (in ₹)?
  37. 37.10 : 8 = 20 : ?
  38. 38.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  39. 39.12 : 7 = 24 : ?
  40. 40.Divide ₹36 between Rahul and Kavya in the ratio 1 : 2. How much does Rahul get (in ₹)?

Answer key

  1. 20
  2. 136
  3. 81
  4. 6
  5. 96
  6. 18
  7. 40
  8. 32
  9. 200
  10. 123
  11. 285
  12. 126
  13. 40
  14. 8
  15. 21
  16. 40
  17. 63
  18. 70
  19. 78
  20. 40
  21. 80
  22. 49
  23. 36
  24. 12
  25. 256
  26. 175
  27. 54
  28. 48
  29. 49
  30. 4
  31. 36
  32. 48
  33. 225
  34. 63
  35. 15
  36. 39
  37. 16
  38. 4
  39. 14
  40. 12

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