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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 752 · 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 ₹255 between Sneha and Kavya in the ratio 2 : 3. How much does Sneha get (in ₹)?
  2. 2.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  3. 3.7 : 6 = 21 : ?
  4. 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  5. 5.Divide ₹520 between Ishaan and Karan in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  6. 6.Divide ₹75 between Arjun and Ananya in the ratio 2 : 3. How much does Arjun get (in ₹)?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Divide ₹154 between Ananya and Priya in the ratio 3 : 8. How much does Priya get (in ₹)?
  9. 9.Divide ₹221 between Kavya and Ananya in the ratio 9 : 4. How much does Kavya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 5 : 8. There are 15 boys. How many girls are there?
  11. 11.Divide ₹561 between Meera and Ishaan in the ratio 8 : 9. How much does Meera get (in ₹)?
  12. 12.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  13. 13.12 : 15 = 72 : ?
  14. 14.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  15. 15.8 : 7 = 72 : ?
  16. 16.Divide ₹522 between Nisha and Aarav in the ratio 1 : 8. How much does Nisha get (in ₹)?
  17. 17.Divide ₹472 between Saanvi and Nisha in the ratio 1 : 7. How much does Saanvi get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
  19. 19.Divide ₹513 between Meera and Zoya in the ratio 4 : 5. How much does Meera get (in ₹)?
  20. 20.Divide ₹198 between Nisha and Manav in the ratio 1 : 8. How much does Manav get (in ₹)?
  21. 21.Divide ₹507 between Vivaan and Sneha in the ratio 9 : 4. How much does Sneha get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  23. 23.Divide ₹51 between Rahul and Diya in the ratio 1 : 2. How much does Rahul get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  25. 25.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  26. 26.Divide ₹162 between Tara and Saanvi in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  27. 27.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  28. 28.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  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.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  31. 31.The ratio of boys to girls in a class is 2 : 5. There are 16 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  34. 34.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  35. 35.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
  37. 37.Divide ₹184 between Meera and Pooja in the ratio 1 : 7. How much does Pooja get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 9 : 2. There are 36 boys. How many girls are there?
  39. 39.5 : 7 = 25 : ?
  40. 40.Divide ₹364 between Tara and Vivaan in the ratio 6 : 7. How much does Tara get (in ₹)?

Answer key

  1. 102
  2. 45
  3. 18
  4. 75
  5. 160
  6. 30
  7. 8
  8. 112
  9. 153
  10. 24
  11. 264
  12. 27
  13. 90
  14. 2
  15. 63
  16. 58
  17. 59
  18. 70
  19. 228
  20. 176
  21. 156
  22. 48
  23. 17
  24. 9
  25. 64
  26. 54
  27. 100
  28. 24
  29. 49
  30. 12
  31. 40
  32. 2
  33. 72
  34. 20
  35. 56
  36. 45
  37. 161
  38. 8
  39. 35
  40. 168

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