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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 535 · 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.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  2. 2.Divide ₹75 between Vivaan and Kabir in the ratio 2 : 1. How much does Vivaan get (in ₹)?
  3. 3.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  4. 4.Divide ₹259 between Zoya and Arjun in the ratio 3 : 4. How much does Arjun get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.Divide ₹392 between Aditya and Kavya in the ratio 4 : 3. How much does Aditya get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 9 : 4. There are 81 boys. How many girls are there?
  9. 9.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
  10. 10.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  11. 11.Divide ₹594 between Karan and Ananya in the ratio 4 : 7. How much does Ananya get (in ₹)?
  12. 12.Divide ₹360 between Priya and Rohan in the ratio 1 : 5. How much does Priya get (in ₹)?
  13. 13.Divide ₹156 between Karan and Kabir in the ratio 1 : 5. How much does Karan get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 7 : 8. There are 28 boys. How many girls are there?
  15. 15.Divide ₹424 between Nisha and Farhan in the ratio 3 : 5. How much does Nisha get (in ₹)?
  16. 16.9 : 15 = 36 : ?
  17. 17.Divide ₹108 between Pooja and Vivaan in the ratio 5 : 7. How much does Pooja get (in ₹)?
  18. 18.11 : 13 = 22 : ?
  19. 19.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  20. 20.Divide ₹240 between Tara and Arjun in the ratio 2 : 3. How much does Arjun get (in ₹)?
  21. 21.12 : 7 = 84 : ?
  22. 22.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
  23. 23.Divide ₹105 between Diya and Pooja in the ratio 4 : 3. How much does Diya get (in ₹)?
  24. 24.Divide ₹342 between Dev and Isha in the ratio 5 : 1. How much does Dev get (in ₹)?
  25. 25.Divide ₹343 between Farhan and Kabir in the ratio 4 : 3. How much does Kabir get (in ₹)?
  26. 26.Divide ₹104 between Aditya and Diya in the ratio 5 : 8. How much does Aditya get (in ₹)?
  27. 27.Divide ₹486 between Karan and Vivaan in the ratio 1 : 8. How much does Vivaan get (in ₹)?
  28. 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  29. 29.The ratio of boys to girls in a class is 5 : 1. There are 40 boys. How many girls are there?
  30. 30.The ratio of boys to girls in a class is 6 : 1. There are 24 boys. How many girls are there?
  31. 31.5 : 15 = 15 : ?
  32. 32.12 : 8 = 48 : ?
  33. 33.Divide ₹376 between Zoya and Kavya in the ratio 3 : 5. How much does Zoya get (in ₹)?
  34. 34.Divide ₹259 between Priya and Isha in the ratio 2 : 5. How much does Priya get (in ₹)?
  35. 35.12 : 8 = 24 : ?
  36. 36.Divide ₹36 between Diya and Rohan in the ratio 5 : 1. How much does Rohan get (in ₹)?
  37. 37.Divide ₹100 between Diya and Zoya in the ratio 3 : 2. How much does Diya get (in ₹)?
  38. 38.7 : 14 = 56 : ?
  39. 39.9 : 13 = 72 : ?
  40. 40.8 : 11 = 40 : ?

Answer key

  1. 50
  2. 50
  3. 81
  4. 148
  5. 54
  6. 12
  7. 224
  8. 36
  9. 21
  10. 54
  11. 378
  12. 60
  13. 26
  14. 32
  15. 159
  16. 60
  17. 45
  18. 26
  19. 6
  20. 144
  21. 49
  22. 3
  23. 60
  24. 285
  25. 147
  26. 40
  27. 432
  28. 18
  29. 8
  30. 4
  31. 45
  32. 32
  33. 141
  34. 74
  35. 16
  36. 6
  37. 60
  38. 112
  39. 104
  40. 55

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