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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 178 · 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 ₹112 between Farhan and Diya in the ratio 1 : 7. How much does Farhan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  3. 3.Divide ₹330 between Isha and Aditya in the ratio 4 : 7. How much does Aditya get (in ₹)?
  4. 4.Divide ₹540 between Priya and Kabir in the ratio 7 : 5. How much does Priya get (in ₹)?
  5. 5.10 : 12 = 70 : ?
  6. 6.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  7. 7.Divide ₹280 between Saanvi and Rahul in the ratio 5 : 2. How much does Rahul get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 3 : 4. There are 12 boys. How many girls are there?
  9. 9.4 : 6 = 8 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  12. 12.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  13. 13.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
  14. 14.Divide ₹507 between Rohan and Kabir in the ratio 9 : 4. How much does Kabir get (in ₹)?
  15. 15.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  16. 16.Divide ₹220 between Priya and Nisha in the ratio 9 : 1. How much does Priya get (in ₹)?
  17. 17.Divide ₹222 between Priya and Aarav in the ratio 5 : 1. How much does Aarav get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
  19. 19.10 : 13 = 40 : ?
  20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  21. 21.Divide ₹130 between Dev and Manav in the ratio 1 : 4. How much does Dev get (in ₹)?
  22. 22.10 : 14 = 70 : ?
  23. 23.7 : 2 = 21 : ?
  24. 24.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  25. 25.Divide ₹407 between Tara and Meera in the ratio 2 : 9. How much does Meera get (in ₹)?
  26. 26.Divide ₹265 between Ananya and Meera in the ratio 2 : 3. How much does Ananya get (in ₹)?
  27. 27.10 : 9 = 30 : ?
  28. 28.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
  29. 29.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  31. 31.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  32. 32.3 : 7 = 9 : ?
  33. 33.The ratio of boys to girls in a class is 5 : 8. There are 25 boys. How many girls are there?
  34. 34.2 : 7 = 12 : ?
  35. 35.Divide ₹517 between Aditya and Ishaan in the ratio 3 : 8. How much does Aditya get (in ₹)?
  36. 36.Divide ₹124 between Ananya and Rohan in the ratio 3 : 1. How much does Ananya get (in ₹)?
  37. 37.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  38. 38.Divide ₹96 between Aarav and Zoya in the ratio 7 : 5. How much does Aarav get (in ₹)?
  39. 39.8 : 9 = 16 : ?
  40. 40.Divide ₹35 between Diya and Isha in the ratio 5 : 2. How much does Isha get (in ₹)?

Answer key

  1. 14
  2. 70
  3. 210
  4. 315
  5. 84
  6. 18
  7. 80
  8. 16
  9. 12
  10. 4
  11. 24
  12. 54
  13. 6
  14. 156
  15. 15
  16. 198
  17. 37
  18. 6
  19. 52
  20. 24
  21. 26
  22. 98
  23. 6
  24. 8
  25. 333
  26. 106
  27. 27
  28. 63
  29. 20
  30. 150
  31. 128
  32. 21
  33. 40
  34. 42
  35. 141
  36. 93
  37. 36
  38. 56
  39. 18
  40. 10

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