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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 766 · 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 : 1. There are 63 boys. How many girls are there?
  2. 2.Divide ₹145 between Rohan and Sneha in the ratio 4 : 1. How much does Sneha get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
  4. 4.Divide ₹462 between Priya and Vivaan in the ratio 9 : 2. How much does Priya get (in ₹)?
  5. 5.9 : 7 = 36 : ?
  6. 6.3 : 14 = 21 : ?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  9. 9.Divide ₹49 between Karan and Dev in the ratio 6 : 1. How much does Karan get (in ₹)?
  10. 10.Divide ₹210 between Pooja and Meera in the ratio 7 : 3. How much does Pooja get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 8 : 9. There are 32 boys. How many girls are there?
  12. 12.Divide ₹374 between Vivaan and Nisha in the ratio 9 : 8. How much does Vivaan get (in ₹)?
  13. 13.12 : 14 = 108 : ?
  14. 14.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
  15. 15.Divide ₹133 between Aarav and Kavya in the ratio 6 : 1. How much does Aarav get (in ₹)?
  16. 16.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  17. 17.Divide ₹159 between Isha and Arjun in the ratio 1 : 2. How much does Isha get (in ₹)?
  18. 18.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  20. 20.Divide ₹45 between Karan and Isha in the ratio 2 : 1. How much does Isha get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
  22. 22.Divide ₹462 between Karan and Dev in the ratio 3 : 8. How much does Dev get (in ₹)?
  23. 23.Divide ₹259 between Pooja and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
  24. 24.11 : 15 = 22 : ?
  25. 25.Divide ₹423 between Rohan and Ishaan in the ratio 8 : 1. How much does Rohan get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  27. 27.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
  29. 29.12 : 13 = 48 : ?
  30. 30.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
  31. 31.Divide ₹496 between Diya and Dev in the ratio 7 : 9. How much does Dev get (in ₹)?
  32. 32.Divide ₹182 between Priya and Saanvi in the ratio 2 : 5. How much does Priya get (in ₹)?
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.Divide ₹440 between Arjun and Dev in the ratio 6 : 5. How much does Dev get (in ₹)?
  35. 35.2 : 4 = 8 : ?
  36. 36.Divide ₹559 between Rohan and Kabir in the ratio 7 : 6. How much does Kabir get (in ₹)?
  37. 37.Divide ₹660 between Aarav and Vivaan in the ratio 4 : 7. How much does Vivaan get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
  39. 39.Divide ₹315 between Ananya and Priya in the ratio 8 : 1. How much does Ananya get (in ₹)?
  40. 40.10 : 12 = 40 : ?

Answer key

  1. 7
  2. 29
  3. 12
  4. 378
  5. 28
  6. 98
  7. 8
  8. 200
  9. 42
  10. 147
  11. 36
  12. 198
  13. 126
  14. 12
  15. 114
  16. 63
  17. 53
  18. 16
  19. 18
  20. 15
  21. 14
  22. 336
  23. 222
  24. 30
  25. 376
  26. 45
  27. 40
  28. 56
  29. 52
  30. 27
  31. 279
  32. 52
  33. 48
  34. 200
  35. 16
  36. 258
  37. 420
  38. 49
  39. 280
  40. 48

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