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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 269 · 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 6 and 30 (that is, 6 : 30 = 30 : ?).
  2. 2.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  3. 3.4 : 9 = 16 : ?
  4. 4.Divide ₹75 between Farhan and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
  5. 5.12 : 9 = 84 : ?
  6. 6.Divide ₹555 between Karan and Aditya in the ratio 7 : 8. How much does Aditya get (in ₹)?
  7. 7.Divide ₹423 between Arjun and Kavya in the ratio 1 : 8. How much does Arjun get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  9. 9.8 : 14 = 64 : ?
  10. 10.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
  12. 12.Divide ₹576 between Ananya and Manav in the ratio 7 : 9. How much does Ananya get (in ₹)?
  13. 13.4 : 8 = 32 : ?
  14. 14.Divide ₹275 between Rahul and Vivaan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  15. 15.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  16. 16.The ratio of boys to girls in a class is 9 : 2. There are 18 boys. How many girls are there?
  17. 17.2 : 12 = 8 : ?
  18. 18.5 : 3 = 25 : ?
  19. 19.Divide ₹110 between Arjun and Sneha in the ratio 3 : 2. How much does Sneha get (in ₹)?
  20. 20.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  21. 21.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  22. 22.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  24. 24.7 : 12 = 21 : ?
  25. 25.Divide ₹770 between Rahul and Dev in the ratio 9 : 5. How much does Rahul get (in ₹)?
  26. 26.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  27. 27.11 : 14 = 33 : ?
  28. 28.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
  29. 29.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
  31. 31.Divide ₹540 between Isha and Nisha in the ratio 1 : 9. How much does Isha get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  33. 33.Divide ₹340 between Kabir and Aarav in the ratio 3 : 7. How much does Aarav get (in ₹)?
  34. 34.10 : 14 = 40 : ?
  35. 35.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
  36. 36.Divide ₹580 between Ishaan and Saanvi in the ratio 3 : 7. How much does Saanvi get (in ₹)?
  37. 37.Divide ₹1003 between Kavya and Saanvi in the ratio 8 : 9. How much does Kavya get (in ₹)?
  38. 38.Divide ₹754 between Isha and Kavya in the ratio 8 : 5. How much does Kavya get (in ₹)?
  39. 39.Divide ₹384 between Meera and Kabir in the ratio 5 : 7. How much does Kabir get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?

Answer key

  1. 150
  2. 6
  3. 36
  4. 35
  5. 63
  6. 296
  7. 47
  8. 12
  9. 112
  10. 45
  11. 21
  12. 252
  13. 64
  14. 200
  15. 36
  16. 4
  17. 48
  18. 15
  19. 44
  20. 45
  21. 64
  22. 2
  23. 45
  24. 36
  25. 495
  26. 200
  27. 42
  28. 35
  29. 16
  30. 80
  31. 54
  32. 24
  33. 238
  34. 56
  35. 15
  36. 406
  37. 472
  38. 290
  39. 224
  40. 40

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