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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 437 · 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.Divide ₹200 between Arjun and Kavya in the ratio 1 : 7. How much does Arjun get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 3 : 5. There are 18 boys. How many girls are there?
  3. 3.7 : 14 = 42 : ?
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  6. 6.Divide ₹172 between Karan and Saanvi in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  7. 7.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
  8. 8.4 : 5 = 28 : ?
  9. 9.7 : 13 = 21 : ?
  10. 10.5 : 13 = 20 : ?
  11. 11.Divide ₹153 between Karan and Vivaan in the ratio 9 : 8. How much does Vivaan get (in ₹)?
  12. 12.Divide ₹45 between Manav and Nisha in the ratio 3 : 2. How much does Manav get (in ₹)?
  13. 13.12 : 8 = 72 : ?
  14. 14.8 : 12 = 24 : ?
  15. 15.Divide ₹135 between Arjun and Aditya in the ratio 2 : 7. How much does Arjun get (in ₹)?
  16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  17. 17.Divide ₹238 between Meera and Nisha in the ratio 2 : 5. How much does Meera get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 3 : 8. There are 21 boys. How many girls are there?
  19. 19.Divide ₹300 between Rahul and Karan in the ratio 1 : 4. How much does Rahul get (in ₹)?
  20. 20.Divide ₹484 between Dev and Kavya in the ratio 6 : 5. How much does Dev get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  22. 22.10 : 2 = 60 : ?
  23. 23.Divide ₹203 between Saanvi and Vivaan in the ratio 4 : 3. How much does Saanvi get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  25. 25.The ratio of boys to girls in a class is 8 : 5. There are 64 boys. How many girls are there?
  26. 26.9 : 3 = 81 : ?
  27. 27.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
  28. 28.Divide ₹145 between Aditya and Aarav in the ratio 4 : 1. How much does Aditya get (in ₹)?
  29. 29.7 : 2 = 21 : ?
  30. 30.3 : 9 = 6 : ?
  31. 31.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  32. 32.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  33. 33.Divide ₹88 between Saanvi and Tara in the ratio 4 : 7. How much does Saanvi get (in ₹)?
  34. 34.11 : 7 = 55 : ?
  35. 35.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  36. 36.Divide ₹570 between Nisha and Karan in the ratio 1 : 9. How much does Nisha get (in ₹)?
  37. 37.Divide ₹432 between Diya and Zoya in the ratio 5 : 7. How much does Diya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
  39. 39.Divide ₹363 between Rohan and Isha in the ratio 3 : 8. How much does Isha get (in ₹)?
  40. 40.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).

Answer key

  1. 25
  2. 30
  3. 84
  4. 50
  5. 225
  6. 43
  7. 27
  8. 35
  9. 39
  10. 52
  11. 72
  12. 27
  13. 48
  14. 36
  15. 30
  16. 28
  17. 68
  18. 56
  19. 60
  20. 264
  21. 21
  22. 12
  23. 116
  24. 63
  25. 40
  26. 27
  27. 8
  28. 116
  29. 6
  30. 18
  31. 64
  32. 18
  33. 32
  34. 35
  35. 45
  36. 57
  37. 180
  38. 60
  39. 264
  40. 72

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