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27 / 30Ratio and proportionHardQuantitative Aptitude

A vessel contains 20 liters of pure milk. 4 liters are removed and replaced with water. This process is repeated twice more. What is the final quantity of milk (in liters) in the vessel?

  1. 10.24

  2. 9.6

  3. 12.8

  4. 11.52

Show answer & explanation

Correct answer

10.24

Explanation

After each replacement, milk remaining = previous milk ×(1−4/20)=×0.8\times (1 - 4/20) = \times 0.8. After 3 replacements: 20×(0.8)3=20×0.512=10.2420 \times (0.8)^3 = 20 \times 0.512 = 10.24 liters.

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All 30 Ratio and proportion questions

  1. 1.What is the ratio of 20 to 25 in its simplest form?
  2. 2.If a:b = 3:4 and b:c = 8:9 , what is the compounded ratio a:b:c ?
  3. 3.What is the duplicate ratio of 2:3 ?
  4. 4.Find the mean proportional between 4 and 16.
  5. 5.If x:y = 5:7 , what is the inverse ratio of x:y ?
  6. 6.If a:b = 2:5 and c:d = 10:3 , what is the compounded ratio of a:b and c:d ?
  7. 7.What is the fourth proportional to 2, 5, 4 ?
  8. 8.If a:b = c:d and a=6, b=8, c=9 , find d using cross multiplication.
  9. 9.Given a:b = 3:2 , apply the Componendo rule to find (a+b):b .
  10. 10.What is the third proportional to 4 and 6 ?
  11. 11.The ages of A and B are in the ratio 5:7 .
  12. 12.Two numbers are in the ratio 3:5 .
  13. 13.If a:b = 2:3 , b:c = 4:5 , and c:d = 6:7 , find a:d .
  14. 14.The ratio of incomes of X and Y is 5:4 and the ratio of their expenditures is 7:5 .
  15. 15.A mixture contains milk and water in the ratio 5:3 .
  16. 16.Using Componendo-Dividendo, if a+b/a-b = 5/3 , find a:b .
  17. 17.What is the third proportional to 12 and 18 ?
  18. 18.A sum of \ 1200 is divided among A, B, and C in the ratio 2:3:5$.
  19. 19.If x/y = 4/5 , find the value of 2x+3y/3x-2y .
  20. 20.Two partners A and B invest \ 5000 and \ 8000 in a business.
  21. 21.The ratio of incomes of X and Y is 7:5 .
  22. 22.A bag contains coins of denominations \ 1 , \ 0.50 , and \ 0.25 in the ratio 3:4:5 .
  23. 23.If y varies directly as x^2 and inversely as z , and y=12 when x=2 and z=3 , find y when x=4 and z=6 .
  24. 24.The present ages of A and B are in the ratio 5:6 .
  25. 25.A and B start a partnership with capitals of \ 8000 and \ 12000 respectively.
  26. 26.In a mixture of 60 liters, milk and water are in the ratio 2:1 .
  27. 27.A vessel contains 20 liters of pure milk.
  28. 28.A and B enter into a partnership with capitals in the ratio 3:5 .
  29. 29.If a/b = 3/4 , b/c = 5/6 , and c/d = 7/8 , find a:d .
  30. 30.A vessel contains 40 liters of a mixture of milk and water in the ratio 5:3 .