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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 547 · 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 ₹572 between Manav and Meera in the ratio 7 : 6. How much does Manav get (in ₹)?
  2. 2.Divide ₹280 between Meera and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 7 : 2. There are 42 boys. How many girls are there?
  4. 4.Divide ₹85 between Kabir and Arjun in the ratio 1 : 4. How much does Kabir get (in ₹)?
  5. 5.6 : 8 = 54 : ?
  6. 6.Divide ₹364 between Dev and Pooja in the ratio 6 : 7. How much does Pooja get (in ₹)?
  7. 7.6 : 9 = 54 : ?
  8. 8.Divide ₹24 between Vivaan and Kavya in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  9. 9.11 : 7 = 55 : ?
  10. 10.Divide ₹104 between Zoya and Aditya in the ratio 5 : 3. How much does Zoya get (in ₹)?
  11. 11.4 : 3 = 16 : ?
  12. 12.3 : 12 = 21 : ?
  13. 13.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  14. 14.3 : 13 = 12 : ?
  15. 15.11 : 5 = 66 : ?
  16. 16.Divide ₹128 between Arjun and Dev in the ratio 5 : 3. How much does Arjun get (in ₹)?
  17. 17.Divide ₹480 between Nisha and Priya in the ratio 7 : 5. How much does Priya get (in ₹)?
  18. 18.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  19. 19.The ratio of boys to girls in a class is 1 : 8. There are 2 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
  22. 22.Divide ₹319 between Farhan and Rahul in the ratio 2 : 9. How much does Farhan get (in ₹)?
  23. 23.Divide ₹255 between Aarav and Ananya in the ratio 1 : 4. How much does Aarav get (in ₹)?
  24. 24.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  25. 25.Divide ₹660 between Sneha and Ishaan in the ratio 5 : 7. How much does Ishaan get (in ₹)?
  26. 26.6 : 10 = 36 : ?
  27. 27.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
  28. 28.11 : 9 = 99 : ?
  29. 29.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
  30. 30.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  31. 31.Divide ₹638 between Vivaan and Aarav in the ratio 4 : 7. How much does Aarav get (in ₹)?
  32. 32.8 : 14 = 24 : ?
  33. 33.The ratio of boys to girls in a class is 1 : 9. There are 8 boys. How many girls are there?
  34. 34.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
  35. 35.Divide ₹120 between Isha and Ananya in the ratio 7 : 3. How much does Isha get (in ₹)?
  36. 36.9 : 5 = 72 : ?
  37. 37.8 : 13 = 48 : ?
  38. 38.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  39. 39.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
  40. 40.Divide ₹528 between Meera and Diya in the ratio 7 : 5. How much does Meera get (in ₹)?

Answer key

  1. 308
  2. 200
  3. 12
  4. 17
  5. 72
  6. 196
  7. 81
  8. 6
  9. 35
  10. 65
  11. 12
  12. 84
  13. 72
  14. 52
  15. 30
  16. 80
  17. 200
  18. 48
  19. 16
  20. 18
  21. 48
  22. 58
  23. 51
  24. 54
  25. 385
  26. 60
  27. 32
  28. 81
  29. 3
  30. 36
  31. 406
  32. 42
  33. 72
  34. 24
  35. 84
  36. 40
  37. 78
  38. 128
  39. 9
  40. 308

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