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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 100 · 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.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
  2. 2.10 : 15 = 70 : ?
  3. 3.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
  4. 4.Divide ₹36 between Meera and Isha in the ratio 1 : 3. How much does Meera get (in ₹)?
  5. 5.6 : 8 = 12 : ?
  6. 6.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  7. 7.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  8. 8.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  9. 9.5 : 14 = 35 : ?
  10. 10.7 : 10 = 56 : ?
  11. 11.Divide ₹63 between Aarav and Aditya in the ratio 1 : 2. How much does Aarav get (in ₹)?
  12. 12.Divide ₹153 between Rohan and Aarav in the ratio 5 : 4. How much does Rohan get (in ₹)?
  13. 13.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  14. 14.11 : 6 = 33 : ?
  15. 15.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  16. 16.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 4 : 7. There are 24 boys. How many girls are there?
  18. 18.5 : 14 = 15 : ?
  19. 19.4 : 15 = 32 : ?
  20. 20.Divide ₹616 between Ananya and Meera in the ratio 5 : 6. How much does Meera get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  22. 22.Divide ₹294 between Saanvi and Vivaan in the ratio 6 : 1. How much does Vivaan get (in ₹)?
  23. 23.Divide ₹396 between Sneha and Rohan in the ratio 4 : 7. How much does Rohan get (in ₹)?
  24. 24.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  25. 25.Divide ₹182 between Aditya and Tara in the ratio 5 : 9. How much does Tara get (in ₹)?
  26. 26.Divide ₹65 between Ananya and Arjun in the ratio 3 : 2. How much does Ananya get (in ₹)?
  27. 27.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  28. 28.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
  29. 29.Divide ₹259 between Priya and Rahul in the ratio 5 : 2. How much does Rahul get (in ₹)?
  30. 30.Divide ₹300 between Aditya and Farhan in the ratio 1 : 4. How much does Aditya get (in ₹)?
  31. 31.Divide ₹550 between Kavya and Aditya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  32. 32.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  33. 33.4 : 10 = 32 : ?
  34. 34.4 : 5 = 16 : ?
  35. 35.7 : 4 = 21 : ?
  36. 36.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
  37. 37.8 : 13 = 72 : ?
  38. 38.Divide ₹216 between Sneha and Diya in the ratio 7 : 5. How much does Sneha get (in ₹)?
  39. 39.7 : 6 = 56 : ?
  40. 40.Divide ₹221 between Nisha and Isha in the ratio 9 : 4. How much does Isha get (in ₹)?

Answer key

  1. 32
  2. 105
  3. 10
  4. 9
  5. 16
  6. 48
  7. 3
  8. 128
  9. 98
  10. 80
  11. 21
  12. 85
  13. 36
  14. 18
  15. 112
  16. 3
  17. 42
  18. 42
  19. 120
  20. 336
  21. 12
  22. 42
  23. 252
  24. 27
  25. 117
  26. 39
  27. 80
  28. 35
  29. 74
  30. 60
  31. 385
  32. 16
  33. 80
  34. 20
  35. 12
  36. 15
  37. 117
  38. 126
  39. 48
  40. 68

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