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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 7 · 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 ₹250 between Manav and Arjun in the ratio 9 : 1. How much does Manav get (in ₹)?
  2. 2.7 : 15 = 63 : ?
  3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  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.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  6. 6.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  7. 7.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
  8. 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  9. 9.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  10. 10.3 : 14 = 12 : ?
  11. 11.Divide ₹247 between Diya and Isha in the ratio 4 : 9. How much does Isha get (in ₹)?
  12. 12.4 : 14 = 8 : ?
  13. 13.Divide ₹250 between Kavya and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
  14. 14.4 : 13 = 16 : ?
  15. 15.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  16. 16.Divide ₹459 between Kavya and Dev in the ratio 4 : 5. How much does Dev get (in ₹)?
  17. 17.Divide ₹162 between Aarav and Kavya in the ratio 1 : 8. How much does Aarav get (in ₹)?
  18. 18.Divide ₹120 between Karan and Meera in the ratio 7 : 5. How much does Karan get (in ₹)?
  19. 19.5 : 2 = 15 : ?
  20. 20.Divide ₹270 between Ananya and Rohan in the ratio 1 : 4. How much does Ananya get (in ₹)?
  21. 21.3 : 7 = 21 : ?
  22. 22.Divide ₹92 between Sneha and Manav in the ratio 1 : 3. How much does Sneha get (in ₹)?
  23. 23.Divide ₹77 between Kabir and Karan in the ratio 5 : 2. How much does Kabir get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?
  25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  26. 26.Divide ₹400 between Manav and Zoya in the ratio 9 : 7. How much does Manav get (in ₹)?
  27. 27.Divide ₹225 between Rohan and Dev in the ratio 1 : 8. How much does Dev get (in ₹)?
  28. 28.Divide ₹231 between Isha and Tara in the ratio 9 : 2. How much does Isha get (in ₹)?
  29. 29.7 : 5 = 14 : ?
  30. 30.Divide ₹312 between Ishaan and Rahul in the ratio 5 : 3. How much does Ishaan get (in ₹)?
  31. 31.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  32. 32.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  33. 33.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  34. 34.7 : 6 = 42 : ?
  35. 35.9 : 2 = 72 : ?
  36. 36.Divide ₹182 between Zoya and Isha in the ratio 6 : 7. How much does Zoya get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 2 : 7. There are 18 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?

Answer key

  1. 225
  2. 135
  3. 18
  4. 18
  5. 81
  6. 12
  7. 30
  8. 8
  9. 7
  10. 56
  11. 171
  12. 28
  13. 175
  14. 52
  15. 45
  16. 255
  17. 18
  18. 70
  19. 6
  20. 54
  21. 49
  22. 23
  23. 55
  24. 32
  25. 200
  26. 225
  27. 200
  28. 189
  29. 10
  30. 195
  31. 128
  32. 16
  33. 64
  34. 36
  35. 16
  36. 84
  37. 16
  38. 35
  39. 63
  40. 90

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