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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 731 · 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. 1.3 : 13 = 6 : ?
  2. 2.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  3. 3.Divide ₹259 between Vivaan and Diya in the ratio 6 : 1. How much does Vivaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
  5. 5.Divide ₹540 between Arjun and Ananya in the ratio 7 : 8. How much does Arjun get (in ₹)?
  6. 6.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  7. 7.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  8. 8.9 : 4 = 54 : ?
  9. 9.10 : 6 = 80 : ?
  10. 10.2 : 11 = 8 : ?
  11. 11.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
  12. 12.4 : 11 = 24 : ?
  13. 13.7 : 13 = 14 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  15. 15.Divide ₹250 between Rohan and Ishaan in the ratio 1 : 9. How much does Ishaan get (in ₹)?
  16. 16.Divide ₹188 between Pooja and Rohan in the ratio 3 : 1. How much does Rohan get (in ₹)?
  17. 17.Divide ₹741 between Meera and Priya in the ratio 4 : 9. How much does Meera get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
  19. 19.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.Divide ₹297 between Manav and Priya in the ratio 7 : 4. How much does Manav get (in ₹)?
  22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  23. 23.Divide ₹328 between Nisha and Kavya in the ratio 3 : 5. How much does Nisha get (in ₹)?
  24. 24.Divide ₹363 between Arjun and Tara in the ratio 6 : 5. How much does Arjun get (in ₹)?
  25. 25.Divide ₹600 between Diya and Kavya in the ratio 8 : 7. How much does Diya get (in ₹)?
  26. 26.Divide ₹392 between Priya and Dev in the ratio 5 : 2. How much does Priya get (in ₹)?
  27. 27.11 : 15 = 33 : ?
  28. 28.6 : 2 = 12 : ?
  29. 29.3 : 2 = 15 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 6. There are 21 boys. How many girls are there?
  31. 31.Divide ₹232 between Nisha and Vivaan in the ratio 3 : 1. How much does Nisha get (in ₹)?
  32. 32.9 : 15 = 27 : ?
  33. 33.11 : 3 = 44 : ?
  34. 34.8 : 6 = 32 : ?
  35. 35.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
  36. 36.Divide ₹260 between Karan and Nisha in the ratio 7 : 6. How much does Nisha get (in ₹)?
  37. 37.Divide ₹168 between Rahul and Arjun in the ratio 2 : 5. How much does Arjun get (in ₹)?
  38. 38.Divide ₹676 between Sneha and Nisha in the ratio 6 : 7. How much does Nisha get (in ₹)?
  39. 39.3 : 7 = 18 : ?
  40. 40.8 : 6 = 64 : ?

Answer key

  1. 26
  2. 32
  3. 222
  4. 54
  5. 252
  6. 35
  7. 100
  8. 24
  9. 48
  10. 44
  11. 6
  12. 66
  13. 26
  14. 24
  15. 225
  16. 47
  17. 228
  18. 28
  19. 75
  20. 45
  21. 189
  22. 36
  23. 123
  24. 198
  25. 320
  26. 280
  27. 45
  28. 4
  29. 10
  30. 18
  31. 174
  32. 45
  33. 12
  34. 24
  35. 90
  36. 120
  37. 120
  38. 364
  39. 42
  40. 48

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