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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 710 · 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.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  2. 2.Divide ₹168 between Manav and Aditya in the ratio 7 : 5. How much does Aditya get (in ₹)?
  3. 3.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  4. 4.Divide ₹128 between Diya and Priya in the ratio 7 : 9. How much does Diya get (in ₹)?
  5. 5.12 : 7 = 24 : ?
  6. 6.Divide ₹165 between Kabir and Meera in the ratio 3 : 2. How much does Kabir get (in ₹)?
  7. 7.Divide ₹715 between Aarav and Kavya in the ratio 6 : 7. How much does Kavya get (in ₹)?
  8. 8.Divide ₹273 between Saanvi and Manav in the ratio 8 : 5. How much does Saanvi get (in ₹)?
  9. 9.Divide ₹120 between Diya and Arjun in the ratio 3 : 7. How much does Arjun get (in ₹)?
  10. 10.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  11. 11.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  12. 12.The ratio of boys to girls in a class is 1 : 9. There are 9 boys. How many girls are there?
  13. 13.Divide ₹330 between Kabir and Karan in the ratio 7 : 3. How much does Kabir get (in ₹)?
  14. 14.Divide ₹77 between Manav and Dev in the ratio 4 : 7. How much does Dev get (in ₹)?
  15. 15.Divide ₹495 between Ishaan and Arjun in the ratio 4 : 7. How much does Arjun get (in ₹)?
  16. 16.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  17. 17.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  18. 18.7 : 8 = 42 : ?
  19. 19.Divide ₹225 between Pooja and Isha in the ratio 3 : 2. How much does Pooja get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
  21. 21.12 : 11 = 60 : ?
  22. 22.4 : 3 = 8 : ?
  23. 23.10 : 4 = 60 : ?
  24. 24.Divide ₹54 between Arjun and Kavya in the ratio 1 : 8. How much does Kavya get (in ₹)?
  25. 25.9 : 5 = 72 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
  27. 27.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  28. 28.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  29. 29.Divide ₹75 between Manav and Saanvi in the ratio 2 : 1. How much does Saanvi get (in ₹)?
  30. 30.11 : 5 = 77 : ?
  31. 31.Divide ₹560 between Priya and Vivaan in the ratio 9 : 5. How much does Vivaan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
  33. 33.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  34. 34.Divide ₹570 between Priya and Aditya in the ratio 1 : 9. How much does Aditya get (in ₹)?
  35. 35.4 : 2 = 20 : ?
  36. 36.Divide ₹77 between Vivaan and Kavya in the ratio 3 : 4. How much does Kavya get (in ₹)?
  37. 37.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  38. 38.2 : 15 = 12 : ?
  39. 39.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  40. 40.10 : 2 = 20 : ?

Answer key

  1. 75
  2. 70
  3. 16
  4. 56
  5. 14
  6. 99
  7. 385
  8. 168
  9. 84
  10. 48
  11. 81
  12. 81
  13. 231
  14. 49
  15. 315
  16. 125
  17. 36
  18. 48
  19. 135
  20. 36
  21. 55
  22. 6
  23. 24
  24. 48
  25. 40
  26. 36
  27. 80
  28. 8
  29. 25
  30. 35
  31. 200
  32. 35
  33. 16
  34. 513
  35. 10
  36. 44
  37. 150
  38. 90
  39. 12
  40. 4

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