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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 829 · 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 ₹595 between Dev and Nisha in the ratio 9 : 8. How much does Dev get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  3. 3.Divide ₹175 between Ishaan and Arjun in the ratio 1 : 4. How much does Ishaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  7. 7.Divide ₹247 between Aditya and Karan in the ratio 6 : 7. How much does Karan get (in ₹)?
  8. 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  9. 9.6 : 5 = 18 : ?
  10. 10.Divide ₹273 between Arjun and Nisha in the ratio 6 : 7. How much does Nisha get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  12. 12.Divide ₹312 between Tara and Arjun in the ratio 8 : 5. How much does Tara get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 5 : 2. There are 40 boys. How many girls are there?
  14. 14.12 : 11 = 24 : ?
  15. 15.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  16. 16.Divide ₹441 between Kabir and Rahul in the ratio 7 : 2. How much does Rahul get (in ₹)?
  17. 17.Divide ₹476 between Nisha and Vivaan in the ratio 9 : 5. How much does Vivaan get (in ₹)?
  18. 18.Divide ₹88 between Rahul and Rohan in the ratio 3 : 5. How much does Rahul get (in ₹)?
  19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  20. 20.Divide ₹590 between Vivaan and Farhan in the ratio 7 : 3. How much does Farhan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 3 : 1. There are 9 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
  23. 23.The ratio of boys to girls in a class is 5 : 7. There are 25 boys. How many girls are there?
  24. 24.Divide ₹486 between Rahul and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
  25. 25.7 : 10 = 49 : ?
  26. 26.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
  28. 28.Divide ₹728 between Tara and Sneha in the ratio 9 : 4. How much does Tara get (in ₹)?
  29. 29.10 : 8 = 90 : ?
  30. 30.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  31. 31.Divide ₹270 between Diya and Isha in the ratio 8 : 7. How much does Isha get (in ₹)?
  32. 32.7 : 4 = 63 : ?
  33. 33.Divide ₹208 between Saanvi and Aarav in the ratio 3 : 1. How much does Saanvi get (in ₹)?
  34. 34.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
  35. 35.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  36. 36.11 : 3 = 88 : ?
  37. 37.7 : 5 = 63 : ?
  38. 38.The ratio of boys to girls in a class is 8 : 3. There are 72 boys. How many girls are there?
  39. 39.Divide ₹252 between Tara and Manav in the ratio 5 : 1. How much does Tara get (in ₹)?
  40. 40.Divide ₹256 between Arjun and Meera in the ratio 5 : 3. How much does Meera get (in ₹)?

Answer key

  1. 315
  2. 45
  3. 35
  4. 16
  5. 24
  6. 54
  7. 133
  8. 96
  9. 15
  10. 147
  11. 27
  12. 192
  13. 16
  14. 22
  15. 81
  16. 98
  17. 170
  18. 33
  19. 32
  20. 177
  21. 3
  22. 8
  23. 35
  24. 108
  25. 70
  26. 15
  27. 24
  28. 504
  29. 72
  30. 64
  31. 126
  32. 36
  33. 156
  34. 54
  35. 27
  36. 24
  37. 45
  38. 27
  39. 210
  40. 96

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