Mixture Alligation 4

[Varun Gupta]

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

a) 1/3                                    b) 2/3                                    c) 2/5                                     d) 3/5

[Aprajita Vijay]

2/3?

On Tue, Sep 24, 2013 at 4:33 PM, Varun Gupta <gupta....@gmail.com> wrote:

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

a) 1/3                                    b) 2/3                                    c) 2/5                                     d) 3/5

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Regards

Aprajita Vijay

[Joy Banerjee]

2/3

On 24-Sep-2013 4:33 PM, "Varun Gupta" <gupta....@gmail.com> wrote:

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

a) 1/3                                    b) 2/3                                    c) 2/5                                     d) 3/5

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[shashank razdan]

Xplain plz..

[Aprajita Vijay]

I used this approach for my answer. Although, I am not sure for the answer. Can you please check .
let there be 100l of original solution .
then  100l = 40l(alch) + 60l (water)

if we take x l of the solution from the flask , the new alch quantity = 40-(x*40/100) , water= 60-(x*60/100)

now, the new solution gets us 19% alcohol . This is replacing "x" so new alch quantity in the flask = 40-(x*2/5)-(x*19/100)

as given, this quantity now makes up to 26% of alcohol . Thus 26/100 * 100= 40-(x*2/5)-(x*19/100)

on solving the above equation we get x= 2/3 * 100

thus answer is 2/3

Regards

Aprajita Vijay

[Ujjwal mishra]

Shashank bhai!!! I think the best way to solve these question is to use allegation method which varun sir taught us...

 Here first jar has 40% and 2nd jar has 19% strength. percentage becomes 26%.

 

40            19

        26

7               14

 Ratio of 1st : 2nd is 1:2

Quantity replaced sud be 2nd quantity : Full quantity === 2:(2+1) = 2:3

On Wed, Sep 25, 2013 at 4:04 AM, shashank razdan <mia407...@gmail.com> wrote: