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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 550 · 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.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  2. 2.Divide ₹88 between Isha and Rahul in the ratio 3 : 8. How much does Rahul get (in ₹)?
  3. 3.9 : 10 = 45 : ?
  4. 4.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  5. 5.Divide ₹132 between Dev and Karan in the ratio 3 : 8. How much does Dev get (in ₹)?
  6. 6.10 : 14 = 30 : ?
  7. 7.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  9. 9.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  10. 10.Divide ₹540 between Manav and Diya in the ratio 9 : 1. How much does Manav get (in ₹)?
  11. 11.3 : 14 = 9 : ?
  12. 12.Divide ₹150 between Isha and Tara in the ratio 9 : 1. How much does Tara get (in ₹)?
  13. 13.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  14. 14.Divide ₹561 between Ishaan and Arjun in the ratio 5 : 6. How much does Arjun get (in ₹)?
  15. 15.3 : 2 = 12 : ?
  16. 16.Divide ₹130 between Sneha and Farhan in the ratio 4 : 1. How much does Farhan get (in ₹)?
  17. 17.Divide ₹63 between Kabir and Rohan in the ratio 1 : 2. How much does Kabir get (in ₹)?
  18. 18.Divide ₹627 between Dev and Ananya in the ratio 2 : 9. How much does Dev get (in ₹)?
  19. 19.Divide ₹832 between Aarav and Meera in the ratio 9 : 7. How much does Aarav get (in ₹)?
  20. 20.7 : 5 = 14 : ?
  21. 21.Divide ₹42 between Vivaan and Pooja in the ratio 5 : 2. How much does Pooja get (in ₹)?
  22. 22.Divide ₹187 between Meera and Karan in the ratio 7 : 4. How much does Meera get (in ₹)?
  23. 23.Divide ₹410 between Rahul and Aarav in the ratio 1 : 9. How much does Aarav get (in ₹)?
  24. 24.3 : 5 = 24 : ?
  25. 25.7 : 6 = 49 : ?
  26. 26.Divide ₹304 between Manav and Rahul in the ratio 3 : 5. How much does Rahul get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  28. 28.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  29. 29.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  30. 30.5 : 6 = 15 : ?
  31. 31.5 : 11 = 35 : ?
  32. 32.Divide ₹231 between Rohan and Vivaan in the ratio 1 : 6. How much does Rohan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  35. 35.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
  36. 36.10 : 4 = 30 : ?
  37. 37.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  38. 38.6 : 2 = 54 : ?
  39. 39.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  40. 40.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).

Answer key

  1. 21
  2. 64
  3. 50
  4. 8
  5. 36
  6. 42
  7. 32
  8. 28
  9. 63
  10. 486
  11. 42
  12. 15
  13. 36
  14. 306
  15. 8
  16. 26
  17. 21
  18. 114
  19. 468
  20. 10
  21. 12
  22. 119
  23. 369
  24. 40
  25. 42
  26. 190
  27. 54
  28. 64
  29. 20
  30. 18
  31. 77
  32. 33
  33. 8
  34. 40
  35. 25
  36. 12
  37. 225
  38. 18
  39. 125
  40. 36

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