Alligation or Mixture - Quantitative Aptitude (MCQ) questions for Q. 27

Q.  A container has 40L milk. 4L milk is taken out and replaced with water, the process done three times. What is the amount of milk now left?
- Published on 19 Oct 15

a. 28L
b. 29L
c. 29.16L
d. 28.4L

ANSWER: 29.16L
 
In regard to the problem let after n times liquid in the container is x and liquid removed is y

=>Liquid in container= x

=>Liquid removed= y

After one trial, quantity of pure liquid= x- (1-y/x)

After n trials quantity of pure liquid = x - (1 -y/x)n

Therefore, Putting the values ( x = 40L y = 4L N=3) and solving

=> 40- (1-4/40)3

= 29.16L

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    Discussion

  • ram kiran   -Posted on 23 Dec 15
    x(1-y/x)^n

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