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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 582 · 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. 1.3 : 11 = 21 : ?
  2. 2.Divide ₹176 between Saanvi and Kavya in the ratio 5 : 6. How much does Saanvi get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
  4. 4.12 : 13 = 48 : ?
  5. 5.Divide ₹455 between Karan and Kavya in the ratio 7 : 6. How much does Kavya get (in ₹)?
  6. 6.4 : 12 = 8 : ?
  7. 7.Divide ₹104 between Sneha and Arjun in the ratio 1 : 7. How much does Sneha get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
  10. 10.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  11. 11.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
  12. 12.Divide ₹340 between Manav and Arjun in the ratio 7 : 3. How much does Manav get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 4 : 9. There are 32 boys. How many girls are there?
  15. 15.9 : 5 = 18 : ?
  16. 16.Divide ₹153 between Kabir and Isha in the ratio 2 : 7. How much does Kabir get (in ₹)?
  17. 17.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
  18. 18.Divide ₹210 between Priya and Aditya in the ratio 1 : 9. How much does Priya get (in ₹)?
  19. 19.7 : 2 = 14 : ?
  20. 20.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  21. 21.4 : 14 = 12 : ?
  22. 22.8 : 7 = 48 : ?
  23. 23.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  24. 24.5 : 4 = 40 : ?
  25. 25.Divide ₹154 between Meera and Farhan in the ratio 2 : 9. How much does Meera get (in ₹)?
  26. 26.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
  27. 27.Divide ₹96 between Manav and Pooja in the ratio 5 : 1. How much does Manav get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 3 : 2. There are 6 boys. How many girls are there?
  29. 29.Divide ₹285 between Priya and Rahul in the ratio 1 : 4. How much does Priya get (in ₹)?
  30. 30.Divide ₹741 between Manav and Isha in the ratio 7 : 6. How much does Isha get (in ₹)?
  31. 31.Divide ₹357 between Zoya and Diya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  32. 32.9 : 5 = 45 : ?
  33. 33.Divide ₹500 between Arjun and Zoya in the ratio 7 : 3. How much does Arjun get (in ₹)?
  34. 34.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  35. 35.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  36. 36.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
  37. 37.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
  38. 38.The ratio of boys to girls in a class is 5 : 2. There are 30 boys. How many girls are there?
  39. 39.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?

Answer key

  1. 77
  2. 80
  3. 6
  4. 52
  5. 210
  6. 24
  7. 13
  8. 36
  9. 8
  10. 175
  11. 10
  12. 238
  13. 4
  14. 72
  15. 10
  16. 34
  17. 48
  18. 21
  19. 4
  20. 144
  21. 42
  22. 42
  23. 36
  24. 32
  25. 28
  26. 63
  27. 80
  28. 4
  29. 57
  30. 342
  31. 255
  32. 25
  33. 350
  34. 75
  35. 20
  36. 45
  37. 9
  38. 12
  39. 2
  40. 12

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