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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 832 · 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 ₹550 between Aarav and Priya in the ratio 8 : 3. How much does Priya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 3 : 7. There are 18 boys. How many girls are there?
  3. 3.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  4. 4.Divide ₹516 between Diya and Ishaan in the ratio 5 : 7. How much does Ishaan get (in ₹)?
  5. 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  6. 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  7. 7.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
  8. 8.Divide ₹126 between Aarav and Rahul in the ratio 5 : 4. How much does Aarav get (in ₹)?
  9. 9.4 : 12 = 20 : ?
  10. 10.Divide ₹300 between Dev and Aditya in the ratio 1 : 5. How much does Dev get (in ₹)?
  11. 11.7 : 9 = 28 : ?
  12. 12.8 : 11 = 64 : ?
  13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  14. 14.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  16. 16.9 : 3 = 54 : ?
  17. 17.Divide ₹459 between Rohan and Karan in the ratio 8 : 1. How much does Rohan get (in ₹)?
  18. 18.Divide ₹165 between Arjun and Diya in the ratio 7 : 8. How much does Arjun get (in ₹)?
  19. 19.Divide ₹208 between Kabir and Manav in the ratio 3 : 1. How much does Kabir get (in ₹)?
  20. 20.Divide ₹253 between Sneha and Zoya in the ratio 6 : 5. How much does Sneha get (in ₹)?
  21. 21.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  22. 22.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
  23. 23.Divide ₹600 between Sneha and Nisha in the ratio 7 : 3. How much does Sneha get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
  25. 25.Divide ₹459 between Nisha and Ishaan in the ratio 4 : 5. How much does Nisha get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
  28. 28.Divide ₹208 between Kavya and Meera in the ratio 1 : 3. How much does Kavya get (in ₹)?
  29. 29.5 : 9 = 30 : ?
  30. 30.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
  31. 31.The ratio of boys to girls in a class is 5 : 9. There are 25 boys. How many girls are there?
  32. 32.Divide ₹130 between Pooja and Diya in the ratio 9 : 1. How much does Diya get (in ₹)?
  33. 33.2 : 5 = 18 : ?
  34. 34.10 : 3 = 70 : ?
  35. 35.6 : 2 = 48 : ?
  36. 36.Divide ₹282 between Dev and Priya in the ratio 5 : 1. How much does Dev get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  38. 38.Divide ₹220 between Diya and Meera in the ratio 4 : 1. How much does Diya get (in ₹)?
  39. 39.Divide ₹570 between Nisha and Aditya in the ratio 7 : 3. How much does Nisha get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?

Answer key

  1. 150
  2. 42
  3. 32
  4. 301
  5. 48
  6. 24
  7. 10
  8. 70
  9. 60
  10. 50
  11. 36
  12. 88
  13. 50
  14. 20
  15. 5
  16. 18
  17. 408
  18. 77
  19. 156
  20. 138
  21. 54
  22. 18
  23. 420
  24. 6
  25. 204
  26. 27
  27. 14
  28. 52
  29. 54
  30. 9
  31. 45
  32. 13
  33. 45
  34. 21
  35. 16
  36. 235
  37. 16
  38. 176
  39. 399
  40. 12

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