Quantitative Aptitude – Arithmetic – Mixtures – A jar contains a mixture of 175 ml

Quantitative Aptitude – Arithmetic - Mixtures – A jar contains a mixture of 175 ml

Slot -2 – Quantitative Aptitude – Arithmetic – Mixtures – A jar contains a mixture of 175 ml

A jar contains a mixture of 175 ml water and 700 ml alcohol. Gopal takes out 10% of the mixture and substitutes it by water of the same amount. The process is repeated once again. The percentage of water in the mixture is now?

a) 20.5

b) 30.3

c) 25.4

d) 35.2

Answer: d) 35.2

Solution:
initial volume of Alcohol = 700, total volume = 700+ 175 = 875 , replaced quantity = 87.5 & n =2

Using, final volume =initial volume ( 1-(replaced quantity)/(total volume))^n = 700(1-87.5/875)^2 = 700×81/100 = 567
So water in final mixture = 875 – 567 = 308
Required percentage = 308/875×100 = 35.2

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