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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 982 · 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 3 and 12 (that is, 3 : 12 = 12 : ?).
  2. 2.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  3. 3.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  4. 4.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  5. 5.Divide ₹285 between Zoya and Diya in the ratio 4 : 1. How much does Zoya get (in ₹)?
  6. 6.Divide ₹528 between Arjun and Diya in the ratio 4 : 7. How much does Arjun get (in ₹)?
  7. 7.Divide ₹35 between Rohan and Isha in the ratio 1 : 4. How much does Isha get (in ₹)?
  8. 8.Divide ₹627 between Pooja and Meera in the ratio 3 : 8. How much does Meera get (in ₹)?
  9. 9.3 : 14 = 9 : ?
  10. 10.11 : 2 = 22 : ?
  11. 11.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  14. 14.Divide ₹111 between Ananya and Aarav in the ratio 1 : 2. How much does Aarav get (in ₹)?
  15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  16. 16.Divide ₹240 between Nisha and Karan in the ratio 3 : 2. How much does Karan get (in ₹)?
  17. 17.Divide ₹165 between Diya and Zoya in the ratio 1 : 4. How much does Zoya get (in ₹)?
  18. 18.Divide ₹676 between Arjun and Dev in the ratio 4 : 9. How much does Arjun get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
  20. 20.2 : 8 = 14 : ?
  21. 21.Divide ₹350 between Meera and Ananya in the ratio 4 : 3. How much does Meera get (in ₹)?
  22. 22.Divide ₹150 between Ishaan and Arjun in the ratio 7 : 8. How much does Arjun get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
  24. 24.Divide ₹273 between Pooja and Saanvi in the ratio 5 : 2. How much does Pooja get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
  26. 26.Divide ₹60 between Meera and Dev in the ratio 5 : 7. How much does Meera get (in ₹)?
  27. 27.Divide ₹153 between Pooja and Saanvi in the ratio 1 : 8. How much does Saanvi get (in ₹)?
  28. 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  29. 29.Divide ₹304 between Manav and Zoya in the ratio 3 : 5. How much does Zoya get (in ₹)?
  30. 30.Divide ₹462 between Kabir and Rahul in the ratio 5 : 9. How much does Kabir get (in ₹)?
  31. 31.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  32. 32.Divide ₹330 between Saanvi and Farhan in the ratio 5 : 1. How much does Farhan get (in ₹)?
  33. 33.Divide ₹200 between Kabir and Nisha in the ratio 1 : 3. How much does Nisha get (in ₹)?
  34. 34.Divide ₹480 between Rahul and Dev in the ratio 1 : 7. How much does Rahul get (in ₹)?
  35. 35.10 : 4 = 20 : ?
  36. 36.Divide ₹280 between Nisha and Tara in the ratio 2 : 3. How much does Nisha get (in ₹)?
  37. 37.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  38. 38.12 : 11 = 108 : ?
  39. 39.Divide ₹714 between Rahul and Sneha in the ratio 5 : 9. How much does Rahul get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?

Answer key

  1. 48
  2. 36
  3. 10
  4. 72
  5. 228
  6. 192
  7. 28
  8. 456
  9. 42
  10. 4
  11. 28
  12. 81
  13. 6
  14. 74
  15. 12
  16. 96
  17. 132
  18. 208
  19. 4
  20. 56
  21. 200
  22. 80
  23. 12
  24. 195
  25. 50
  26. 25
  27. 136
  28. 18
  29. 190
  30. 165
  31. 200
  32. 55
  33. 150
  34. 60
  35. 8
  36. 112
  37. 40
  38. 99
  39. 255
  40. 16

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