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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 320 · 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 ₹580 between Arjun and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
  3. 3.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  4. 4.8 : 7 = 16 : ?
  5. 5.Divide ₹418 between Kavya and Rohan in the ratio 8 : 3. How much does Rohan get (in ₹)?
  6. 6.Divide ₹261 between Kabir and Meera in the ratio 8 : 1. How much does Kabir get (in ₹)?
  7. 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  8. 8.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  9. 9.10 : 6 = 20 : ?
  10. 10.10 : 5 = 60 : ?
  11. 11.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  12. 12.Divide ₹252 between Kabir and Farhan in the ratio 5 : 2. How much does Kabir get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
  14. 14.6 : 15 = 36 : ?
  15. 15.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
  16. 16.6 : 3 = 42 : ?
  17. 17.11 : 12 = 22 : ?
  18. 18.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  20. 20.Divide ₹900 between Vivaan and Kabir in the ratio 7 : 8. How much does Vivaan get (in ₹)?
  21. 21.8 : 4 = 64 : ?
  22. 22.Divide ₹333 between Ananya and Aditya in the ratio 1 : 8. How much does Ananya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
  24. 24.9 : 5 = 72 : ?
  25. 25.Divide ₹450 between Dev and Zoya in the ratio 4 : 5. How much does Dev get (in ₹)?
  26. 26.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  27. 27.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  28. 28.7 : 11 = 35 : ?
  29. 29.Divide ₹570 between Dev and Zoya in the ratio 1 : 9. How much does Zoya get (in ₹)?
  30. 30.Divide ₹870 between Zoya and Rohan in the ratio 7 : 8. How much does Zoya get (in ₹)?
  31. 31.Divide ₹472 between Meera and Sneha in the ratio 7 : 1. How much does Sneha get (in ₹)?
  32. 32.Divide ₹336 between Pooja and Isha in the ratio 5 : 3. How much does Pooja get (in ₹)?
  33. 33.Divide ₹282 between Meera and Kavya in the ratio 5 : 1. How much does Meera get (in ₹)?
  34. 34.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  35. 35.Divide ₹187 between Tara and Priya in the ratio 5 : 6. How much does Priya get (in ₹)?
  36. 36.3 : 4 = 12 : ?
  37. 37.Divide ₹190 between Nisha and Farhan in the ratio 2 : 3. How much does Nisha get (in ₹)?
  38. 38.Divide ₹378 between Nisha and Farhan in the ratio 4 : 5. How much does Nisha get (in ₹)?
  39. 39.Divide ₹147 between Zoya and Saanvi in the ratio 1 : 2. How much does Saanvi get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 2 : 3. There are 20 boys. How many girls are there?

Answer key

  1. 406
  2. 24
  3. 150
  4. 14
  5. 114
  6. 232
  7. 80
  8. 7
  9. 12
  10. 30
  11. 56
  12. 180
  13. 32
  14. 90
  15. 6
  16. 21
  17. 24
  18. 36
  19. 18
  20. 420
  21. 32
  22. 37
  23. 30
  24. 40
  25. 200
  26. 200
  27. 2
  28. 55
  29. 513
  30. 406
  31. 59
  32. 210
  33. 235
  34. 48
  35. 102
  36. 16
  37. 76
  38. 168
  39. 98
  40. 30

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