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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 682 · 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).

NameDateTime takenScore ___ / 40
  1. 1.Divide ₹56 between Pooja and Priya in the ratio 3 : 1. How much does Pooja get (in ₹)?
  2. 2.9 : 13 = 63 : ?
  3. 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  4. 4.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
  5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  6. 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  7. 7.Divide ₹736 between Aditya and Karan in the ratio 7 : 9. How much does Aditya get (in ₹)?
  8. 8.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  9. 9.Divide ₹224 between Ananya and Aarav in the ratio 4 : 3. How much does Ananya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
  11. 11.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  12. 12.Divide ₹280 between Meera and Ananya in the ratio 7 : 1. How much does Meera get (in ₹)?
  13. 13.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  14. 14.Divide ₹99 between Farhan and Nisha in the ratio 5 : 4. How much does Farhan get (in ₹)?
  15. 15.Divide ₹242 between Zoya and Meera in the ratio 7 : 4. How much does Zoya get (in ₹)?
  16. 16.10 : 12 = 90 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  18. 18.Divide ₹175 between Pooja and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
  19. 19.Divide ₹186 between Rahul and Nisha in the ratio 1 : 5. How much does Nisha get (in ₹)?
  20. 20.Divide ₹70 between Isha and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
  21. 21.Divide ₹220 between Karan and Zoya in the ratio 8 : 3. How much does Zoya get (in ₹)?
  22. 22.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  23. 23.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  24. 24.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
  25. 25.Divide ₹598 between Ishaan and Isha in the ratio 9 : 4. How much does Ishaan get (in ₹)?
  26. 26.Divide ₹440 between Aditya and Ishaan in the ratio 3 : 5. How much does Aditya get (in ₹)?
  27. 27.Divide ₹351 between Diya and Pooja in the ratio 7 : 2. How much does Pooja get (in ₹)?
  28. 28.Divide ₹102 between Tara and Zoya in the ratio 1 : 5. How much does Tara get (in ₹)?
  29. 29.10 : 15 = 80 : ?
  30. 30.Divide ₹108 between Saanvi and Aditya in the ratio 2 : 7. How much does Saanvi get (in ₹)?
  31. 31.4 : 11 = 32 : ?
  32. 32.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
  33. 33.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  34. 34.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
  35. 35.Divide ₹440 between Nisha and Tara in the ratio 7 : 4. How much does Tara get (in ₹)?
  36. 36.3 : 8 = 12 : ?
  37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  38. 38.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
  39. 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  40. 40.7 : 5 = 28 : ?

Answer key

  1. 42
  2. 91
  3. 125
  4. 8
  5. 175
  6. 75
  7. 322
  8. 96
  9. 128
  10. 15
  11. 27
  12. 245
  13. 128
  14. 55
  15. 154
  16. 108
  17. 6
  18. 70
  19. 155
  20. 21
  21. 60
  22. 20
  23. 16
  24. 28
  25. 414
  26. 165
  27. 78
  28. 17
  29. 120
  30. 24
  31. 88
  32. 5
  33. 36
  34. 40
  35. 160
  36. 32
  37. 18
  38. 32
  39. 200
  40. 20

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