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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 790 · 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 ₹276 between Ishaan and Kavya in the ratio 1 : 5. How much does Ishaan get (in ₹)?
  2. 2.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  3. 3.Divide ₹220 between Rohan and Farhan in the ratio 2 : 3. How much does Rohan get (in ₹)?
  4. 4.Divide ₹360 between Priya and Diya in the ratio 5 : 7. How much does Diya get (in ₹)?
  5. 5.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  6. 6.5 : 6 = 40 : ?
  7. 7.5 : 13 = 35 : ?
  8. 8.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  9. 9.8 : 2 = 24 : ?
  10. 10.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  11. 11.Divide ₹148 between Aarav and Kavya in the ratio 3 : 1. How much does Aarav get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
  13. 13.The ratio of boys to girls in a class is 7 : 2. There are 70 boys. How many girls are there?
  14. 14.5 : 12 = 15 : ?
  15. 15.Divide ₹357 between Nisha and Kabir in the ratio 6 : 1. How much does Kabir get (in ₹)?
  16. 16.Divide ₹540 between Aarav and Kabir in the ratio 1 : 8. How much does Kabir get (in ₹)?
  17. 17.Divide ₹230 between Kabir and Aditya in the ratio 2 : 3. How much does Aditya get (in ₹)?
  18. 18.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
  19. 19.10 : 3 = 20 : ?
  20. 20.4 : 13 = 12 : ?
  21. 21.Divide ₹392 between Dev and Kavya in the ratio 5 : 3. How much does Dev get (in ₹)?
  22. 22.8 : 13 = 48 : ?
  23. 23.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  24. 24.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
  25. 25.Divide ₹216 between Ananya and Rohan in the ratio 1 : 5. How much does Ananya get (in ₹)?
  26. 26.Divide ₹371 between Kavya and Kabir in the ratio 2 : 5. How much does Kabir get (in ₹)?
  27. 27.Divide ₹578 between Tara and Kavya in the ratio 9 : 8. How much does Kavya get (in ₹)?
  28. 28.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  29. 29.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  30. 30.Divide ₹238 between Zoya and Ananya in the ratio 6 : 1. How much does Ananya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
  33. 33.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  34. 34.Divide ₹528 between Kabir and Vivaan in the ratio 7 : 9. How much does Vivaan get (in ₹)?
  35. 35.Divide ₹45 between Arjun and Rohan in the ratio 1 : 4. How much does Rohan get (in ₹)?
  36. 36.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
  37. 37.Divide ₹144 between Dev and Farhan in the ratio 1 : 7. How much does Farhan get (in ₹)?
  38. 38.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
  39. 39.Divide ₹364 between Kabir and Ananya in the ratio 1 : 6. How much does Ananya get (in ₹)?
  40. 40.Divide ₹285 between Sneha and Kavya in the ratio 4 : 1. How much does Sneha get (in ₹)?

Answer key

  1. 46
  2. 63
  3. 88
  4. 210
  5. 32
  6. 48
  7. 91
  8. 27
  9. 6
  10. 128
  11. 111
  12. 2
  13. 20
  14. 36
  15. 51
  16. 480
  17. 138
  18. 30
  19. 6
  20. 39
  21. 245
  22. 78
  23. 64
  24. 12
  25. 36
  26. 265
  27. 272
  28. 54
  29. 48
  30. 34
  31. 21
  32. 40
  33. 72
  34. 297
  35. 36
  36. 70
  37. 126
  38. 112
  39. 312
  40. 228

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