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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 174 · 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 ₹420 between Manav and Ishaan in the ratio 7 : 8. How much does Manav get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
  3. 3.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  4. 4.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  5. 5.Divide ₹364 between Kabir and Ananya in the ratio 9 : 4. How much does Ananya get (in ₹)?
  6. 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  7. 7.Divide ₹187 between Tara and Arjun in the ratio 8 : 3. How much does Tara get (in ₹)?
  8. 8.9 : 7 = 45 : ?
  9. 9.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
  10. 10.Divide ₹189 between Saanvi and Meera in the ratio 7 : 2. How much does Saanvi get (in ₹)?
  11. 11.9 : 4 = 54 : ?
  12. 12.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
  13. 13.Divide ₹252 between Arjun and Manav in the ratio 8 : 1. How much does Manav get (in ₹)?
  14. 14.2 : 3 = 4 : ?
  15. 15.Divide ₹650 between Sneha and Tara in the ratio 7 : 6. How much does Tara get (in ₹)?
  16. 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  17. 17.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  18. 18.6 : 15 = 48 : ?
  19. 19.9 : 11 = 81 : ?
  20. 20.The ratio of boys to girls in a class is 7 : 9. There are 49 boys. How many girls are there?
  21. 21.5 : 11 = 25 : ?
  22. 22.3 : 2 = 27 : ?
  23. 23.Divide ₹88 between Diya and Vivaan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
  25. 25.11 : 12 = 99 : ?
  26. 26.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
  27. 27.Divide ₹320 between Kavya and Priya in the ratio 9 : 7. How much does Kavya get (in ₹)?
  28. 28.Divide ₹416 between Rahul and Farhan in the ratio 9 : 4. How much does Rahul get (in ₹)?
  29. 29.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  30. 30.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  31. 31.5 : 6 = 10 : ?
  32. 32.Divide ₹136 between Meera and Saanvi in the ratio 3 : 5. How much does Saanvi get (in ₹)?
  33. 33.Divide ₹494 between Pooja and Aarav in the ratio 4 : 9. How much does Pooja get (in ₹)?
  34. 34.Divide ₹546 between Farhan and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
  35. 35.Divide ₹66 between Meera and Aditya in the ratio 3 : 8. How much does Meera get (in ₹)?
  36. 36.12 : 3 = 72 : ?
  37. 37.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  38. 38.Divide ₹455 between Dev and Ananya in the ratio 5 : 8. How much does Dev get (in ₹)?
  39. 39.5 : 6 = 15 : ?
  40. 40.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?

Answer key

  1. 196
  2. 27
  3. 54
  4. 18
  5. 112
  6. 12
  7. 136
  8. 35
  9. 20
  10. 147
  11. 24
  12. 54
  13. 28
  14. 6
  15. 300
  16. 16
  17. 18
  18. 120
  19. 99
  20. 63
  21. 55
  22. 18
  23. 64
  24. 30
  25. 108
  26. 7
  27. 180
  28. 288
  29. 20
  30. 16
  31. 12
  32. 85
  33. 152
  34. 210
  35. 18
  36. 18
  37. 45
  38. 175
  39. 18
  40. 42

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