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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 426 · 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 9 : 4. There are 54 boys. How many girls are there?
  2. 2.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  3. 3.Divide ₹232 between Meera and Sneha in the ratio 3 : 1. How much does Meera get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
  5. 5.Divide ₹561 between Aarav and Rahul in the ratio 7 : 4. How much does Aarav get (in ₹)?
  6. 6.Divide ₹78 between Manav and Ananya in the ratio 5 : 1. How much does Manav get (in ₹)?
  7. 7.Divide ₹110 between Manav and Diya in the ratio 2 : 3. How much does Manav get (in ₹)?
  8. 8.5 : 11 = 10 : ?
  9. 9.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
  10. 10.Divide ₹224 between Ananya and Rohan in the ratio 3 : 5. How much does Rohan get (in ₹)?
  11. 11.Divide ₹780 between Pooja and Ananya in the ratio 5 : 8. How much does Pooja get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
  13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  14. 14.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
  15. 15.Divide ₹285 between Meera and Rahul in the ratio 3 : 2. How much does Rahul get (in ₹)?
  16. 16.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  17. 17.10 : 6 = 20 : ?
  18. 18.Divide ₹228 between Kavya and Aditya in the ratio 7 : 5. How much does Kavya get (in ₹)?
  19. 19.Divide ₹169 between Aditya and Manav in the ratio 7 : 6. How much does Aditya get (in ₹)?
  20. 20.12 : 15 = 72 : ?
  21. 21.Divide ₹210 between Nisha and Zoya in the ratio 1 : 6. How much does Nisha get (in ₹)?
  22. 22.Divide ₹175 between Ananya and Vivaan in the ratio 1 : 6. How much does Vivaan get (in ₹)?
  23. 23.4 : 12 = 12 : ?
  24. 24.Divide ₹320 between Isha and Meera in the ratio 1 : 7. How much does Meera get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
  26. 26.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  27. 27.Divide ₹210 between Aditya and Saanvi in the ratio 1 : 6. How much does Aditya get (in ₹)?
  28. 28.2 : 10 = 4 : ?
  29. 29.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
  31. 31.Divide ₹440 between Kabir and Isha in the ratio 8 : 3. How much does Kabir get (in ₹)?
  32. 32.12 : 5 = 24 : ?
  33. 33.8 : 11 = 24 : ?
  34. 34.6 : 2 = 12 : ?
  35. 35.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  36. 36.The ratio of boys to girls in a class is 6 : 1. There are 18 boys. How many girls are there?
  37. 37.Divide ₹495 between Diya and Ananya in the ratio 7 : 4. How much does Diya get (in ₹)?
  38. 38.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  39. 39.5 : 3 = 20 : ?
  40. 40.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).

Answer key

  1. 24
  2. 16
  3. 174
  4. 3
  5. 357
  6. 65
  7. 44
  8. 22
  9. 4
  10. 140
  11. 300
  12. 28
  13. 28
  14. 9
  15. 114
  16. 63
  17. 12
  18. 133
  19. 91
  20. 90
  21. 30
  22. 150
  23. 36
  24. 280
  25. 2
  26. 20
  27. 30
  28. 20
  29. 2
  30. 50
  31. 320
  32. 10
  33. 33
  34. 4
  35. 24
  36. 3
  37. 315
  38. 200
  39. 12
  40. 150

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