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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 875 · 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.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  2. 2.Divide ₹265 between Rohan and Kavya in the ratio 2 : 3. How much does Rohan get (in ₹)?
  3. 3.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  4. 4.10 : 15 = 80 : ?
  5. 5.Divide ₹580 between Arjun and Meera in the ratio 3 : 7. How much does Arjun get (in ₹)?
  6. 6.Divide ₹130 between Isha and Karan in the ratio 1 : 9. How much does Karan get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  8. 8.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  10. 10.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  11. 11.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  12. 12.Divide ₹459 between Nisha and Dev in the ratio 9 : 8. How much does Nisha get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 4 : 1. There are 36 boys. How many girls are there?
  14. 14.Divide ₹704 between Ananya and Dev in the ratio 9 : 7. How much does Dev get (in ₹)?
  15. 15.3 : 5 = 18 : ?
  16. 16.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  17. 17.3 : 10 = 24 : ?
  18. 18.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
  20. 20.6 : 3 = 30 : ?
  21. 21.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  22. 22.Divide ₹270 between Saanvi and Sneha in the ratio 9 : 1. How much does Saanvi get (in ₹)?
  23. 23.5 : 2 = 10 : ?
  24. 24.Divide ₹689 between Saanvi and Vivaan in the ratio 9 : 4. How much does Vivaan get (in ₹)?
  25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  26. 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  27. 27.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  28. 28.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  29. 29.6 : 3 = 12 : ?
  30. 30.Divide ₹232 between Vivaan and Tara in the ratio 1 : 7. How much does Tara get (in ₹)?
  31. 31.Divide ₹638 between Karan and Ishaan in the ratio 3 : 8. How much does Ishaan get (in ₹)?
  32. 32.Divide ₹468 between Manav and Sneha in the ratio 7 : 2. How much does Sneha get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
  34. 34.Divide ₹840 between Saanvi and Kabir in the ratio 9 : 5. How much does Saanvi get (in ₹)?
  35. 35.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  36. 36.Divide ₹611 between Nisha and Pooja in the ratio 7 : 6. How much does Pooja get (in ₹)?
  37. 37.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  38. 38.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  39. 39.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  40. 40.Divide ₹322 between Ishaan and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?

Answer key

  1. 64
  2. 106
  3. 150
  4. 120
  5. 174
  6. 117
  7. 21
  8. 54
  9. 32
  10. 32
  11. 200
  12. 243
  13. 9
  14. 308
  15. 30
  16. 21
  17. 80
  18. 6
  19. 7
  20. 15
  21. 32
  22. 243
  23. 4
  24. 212
  25. 75
  26. 45
  27. 2
  28. 81
  29. 6
  30. 203
  31. 464
  32. 104
  33. 3
  34. 540
  35. 8
  36. 282
  37. 24
  38. 63
  39. 36
  40. 46

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