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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 954 · 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 ₹275 between Saanvi and Rahul in the ratio 2 : 9. How much does Rahul get (in ₹)?
  2. 2.Divide ₹91 between Arjun and Vivaan in the ratio 5 : 8. How much does Vivaan get (in ₹)?
  3. 3.3 : 9 = 6 : ?
  4. 4.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  5. 5.6 : 14 = 36 : ?
  6. 6.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  7. 7.8 : 12 = 48 : ?
  8. 8.Divide ₹752 between Diya and Meera in the ratio 7 : 9. How much does Diya get (in ₹)?
  9. 9.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  10. 10.Divide ₹328 between Sneha and Priya in the ratio 5 : 3. How much does Sneha get (in ₹)?
  11. 11.Divide ₹189 between Ishaan and Priya in the ratio 1 : 6. How much does Priya get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 5 : 2. There are 35 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
  14. 14.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
  15. 15.6 : 14 = 12 : ?
  16. 16.4 : 12 = 12 : ?
  17. 17.7 : 8 = 28 : ?
  18. 18.Divide ₹225 between Rahul and Kavya in the ratio 4 : 1. How much does Rahul get (in ₹)?
  19. 19.3 : 9 = 15 : ?
  20. 20.11 : 9 = 44 : ?
  21. 21.Divide ₹464 between Tara and Rahul in the ratio 7 : 9. How much does Rahul get (in ₹)?
  22. 22.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  23. 23.Divide ₹221 between Diya and Farhan in the ratio 9 : 8. How much does Farhan get (in ₹)?
  24. 24.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  25. 25.12 : 13 = 84 : ?
  26. 26.7 : 14 = 49 : ?
  27. 27.4 : 5 = 16 : ?
  28. 28.Divide ₹414 between Kavya and Isha in the ratio 1 : 8. How much does Kavya get (in ₹)?
  29. 29.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
  30. 30.8 : 2 = 48 : ?
  31. 31.Divide ₹192 between Dev and Kavya in the ratio 7 : 9. How much does Kavya get (in ₹)?
  32. 32.6 : 8 = 24 : ?
  33. 33.Divide ₹533 between Kavya and Kabir in the ratio 9 : 4. How much does Kavya get (in ₹)?
  34. 34.Divide ₹270 between Arjun and Meera in the ratio 7 : 3. How much does Arjun get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 7 : 4. There are 28 boys. How many girls are there?
  36. 36.12 : 14 = 48 : ?
  37. 37.9 : 12 = 72 : ?
  38. 38.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
  39. 39.Divide ₹90 between Kabir and Aarav in the ratio 3 : 7. How much does Aarav get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 1 : 3. There are 9 boys. How many girls are there?

Answer key

  1. 225
  2. 56
  3. 18
  4. 175
  5. 84
  6. 200
  7. 72
  8. 329
  9. 24
  10. 205
  11. 162
  12. 14
  13. 12
  14. 6
  15. 28
  16. 36
  17. 32
  18. 180
  19. 45
  20. 36
  21. 261
  22. 80
  23. 104
  24. 128
  25. 91
  26. 98
  27. 20
  28. 46
  29. 18
  30. 12
  31. 108
  32. 32
  33. 369
  34. 189
  35. 16
  36. 56
  37. 96
  38. 14
  39. 63
  40. 27

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