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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 587 · 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 ₹374 between Kavya and Sneha in the ratio 7 : 4. How much does Kavya get (in ₹)?
  2. 2.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  3. 3.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  4. 4.Divide ₹180 between Rohan and Rahul in the ratio 2 : 3. How much does Rohan get (in ₹)?
  5. 5.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  6. 6.Divide ₹264 between Saanvi and Isha in the ratio 8 : 3. How much does Isha get (in ₹)?
  7. 7.Divide ₹288 between Meera and Tara in the ratio 9 : 7. How much does Tara get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
  9. 9.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  10. 10.12 : 4 = 24 : ?
  11. 11.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  12. 12.11 : 5 = 99 : ?
  13. 13.Divide ₹572 between Dev and Sneha in the ratio 6 : 5. How much does Sneha get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 8 : 1. There are 40 boys. How many girls are there?
  15. 15.Divide ₹121 between Arjun and Meera in the ratio 5 : 6. How much does Arjun get (in ₹)?
  16. 16.Divide ₹624 between Ananya and Priya in the ratio 5 : 8. How much does Priya get (in ₹)?
  17. 17.Divide ₹420 between Vivaan and Karan in the ratio 8 : 7. How much does Vivaan get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  21. 21.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  22. 22.8 : 5 = 32 : ?
  23. 23.Divide ₹112 between Aarav and Vivaan in the ratio 1 : 7. How much does Aarav get (in ₹)?
  24. 24.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  25. 25.The ratio of boys to girls in a class is 1 : 4. There are 6 boys. How many girls are there?
  26. 26.5 : 4 = 25 : ?
  27. 27.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  28. 28.Divide ₹66 between Aditya and Pooja in the ratio 5 : 1. How much does Pooja get (in ₹)?
  29. 29.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  30. 30.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  31. 31.7 : 9 = 21 : ?
  32. 32.Divide ₹708 between Diya and Ananya in the ratio 7 : 5. How much does Diya get (in ₹)?
  33. 33.Divide ₹96 between Pooja and Rahul in the ratio 1 : 5. How much does Pooja get (in ₹)?
  34. 34.Divide ₹50 between Ananya and Kabir in the ratio 2 : 3. How much does Ananya get (in ₹)?
  35. 35.Divide ₹390 between Tara and Kavya in the ratio 3 : 7. How much does Tara get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  37. 37.9 : 6 = 63 : ?
  38. 38.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  39. 39.Divide ₹598 between Rohan and Meera in the ratio 7 : 6. How much does Meera get (in ₹)?
  40. 40.Divide ₹70 between Sneha and Priya in the ratio 6 : 1. How much does Sneha get (in ₹)?

Answer key

  1. 238
  2. 32
  3. 28
  4. 72
  5. 63
  6. 72
  7. 126
  8. 20
  9. 12
  10. 8
  11. 16
  12. 45
  13. 260
  14. 5
  15. 55
  16. 384
  17. 224
  18. 21
  19. 36
  20. 27
  21. 60
  22. 20
  23. 14
  24. 80
  25. 24
  26. 20
  27. 81
  28. 11
  29. 54
  30. 20
  31. 27
  32. 413
  33. 16
  34. 20
  35. 117
  36. 14
  37. 42
  38. 81
  39. 276
  40. 60

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