A jar of 10 litres contains 4 litres milk and another of 6 litres is filled completely with water. 6 litre mixtures are removed to second jar after pouring all the water of second jar in first. After then the process is revised with 4 other jars of 6 litres filled with water completely. What will be the amount of milk remained in 10 litre jar finally.

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23 Jan 2014 Solve A jar of 10 litres contains 4 litres milk and another of 6 litres is filled completely with water. 6 litre mixtures are removed to second jar after pouring all the water of second jar in first. After then the process is revised with 4 other jars of 6 litres filled with water completely. What will be the amount of milk remained in 10 litre jar finally.: OPtion
1) 0.52675
2) 0.01024
3) 0.12500
4) 0.04096
5) 4.00000
6) 0.40000
7) 0.66667
8) 1.50000
9) 0.06400
10)None of these; Correct Option: 4 Best Solution (12)

ROHIT UPADHYAY 10 years AGO

if the solution is 100%
after first process solution left = 40%
because process is revised with 4 other jars of 6 liters filled with water completely
and in each time solution left 40% so we have to find 40% of the solution in each time
so again from 40% = 40*(40/100) =16%
= 16*(40/100) =6.4%
= 6.4*(0.4) =2.56%
= 2.56* 0.4 =1.024%
so finally after 4 other jars solution left =1.024%
so milk left = 4*1.024/100 =0.04096

Like? Yes (16) | No (3)

KRISHNAN 10 years AGO

The First Jar contains 4 ltr milk and 6 ltr water is added so the % of milk in the jar is 40%
So after removing 6 ltrs of mixture the remaining 4 lts of mixture contain 40% milk or 1.6Lts of milk

Now if this process is repeated for first jar
1.6 lts milk and 8.4 Lts water milk % is 16%
and milk left in 4 lts mixture is 0.64 lts

For second Jar repeataion
0.64 lts milk and 9.36 Lts water milk % is 6.4%
and milk left in 4 lts mixture is 0.256 lts

For third Jar repeataion
0.256 lts milk and 9.744 Lts water milk % is 2.56%
and milk left in 4 lts mixture is 0.1024 lts

For Fourth Jar repeataion
0.1024 lts milk and 9.8976 Lts water milk % is 1.024%
and milk left in 4 lts mixture is 0.004096 Lts
So option 4 is the correct answer

Like? Yes (6) | No (1)

Aditya Verma 10 years AGO

at first time first container contain milk=1.6 lit
that process applied 4 times then
when it applied at first then=1.6*40/100=.64 lit
2nd time= .64*40/100=.256 lit
3rd time= .256*40/100=.1024 lit
4th time= .1024*40/100=0.04096 lit
at end amount of milk in first container is 0.04096 lit
answer is option 4

Like? Yes (4) | No (2)

Leelanand Kumar Yalla 10 years AGO

Milk and Water are in the ratio of 4:6;
now 6 Liters Mixture Removed means from both milk and water subtract the Mixture of 6 Liters;
i.e., 4-(4/10)*6=1.6 Liters Milk available now;
like this from water 6-(6/10)*6+6= 8.4 Liters water available after Removing 6 Liters mixture.
so now the ratio of Milk and Water is 1.6:8.4;
again do the same procedure of removing 6 Liters mixture and add 6 Liter water... 1st time
1.6-(1.6/10)*6=> 0.64 Liters Milk;
8.4-(8.4/10)*6+6=> 9.36 Liters water;
again;
milk:water= 0.64:9.36; 2nd time
0.64-(0.64/10)*6=>0.256 milk;
water= 10-0.256=9.744;
again;
milk:water= 0.256:9.744;
0.256-(0.256/10)*6=> 0.1024 milk; 3rd time
water= 10=0.1024=9.8976;
now milk:water= 0.1024:9.8976; 4th time
0.1024-(0.1024/10)*6=>0.04096 milk;
water= 10-0.04096= 9.95904;
so finally Milk Remained in jar is 0.04096;.....

Like? Yes (2) | No

Mallikharjuna 10 years AGO

intial M:W=4:6
6 liters of mixture drawn form jar then remaing milk in water is=4-(4*6)/10
=1.6
repeat same procedure for 4 more times
1 st time remaing milk is= 1.6-(1.6*6)/10
=0.64
2 nd time remaing milk is = 0.64-(0.64*6)/10
=0.256
3 rd time remaing milk is 0.256-(0.256*6)/10
= 0.1024
4 th time milk is 0.1024-(0.1024*6)/10
=0.04096.

hence remaing milk is = 0.04096.

first milk in jar is 2^2,
first time 2^4/10,
second time 2^6/10^2,
third time 2^8/10^3,
fourth time 2^10/10^4,
fifth time 2^12/10^5.

Like? Yes (1) | No

amit choudhary 10 years AGO

Because on mixing water and milk we can see that in 1st jar 1 litre mixture contains 0.4 litres of milk and 0.6 litres of water.
So for 1 jar remaining water is (4*4)/10=1.6 litres milk
for second jar (1.6*4)/10=.64 litres milk
for 3rd jar (.64*4)/10=.256 litres milk
for 4th jar (.256*4)/10=.1024 litres milk
for last(5th) jar (.1024*4)/10=.04096 litres milk..
Here we are multiplying it by 4 because the remaining amount of mixture in each jar after adding 6 litres of water in it is 4 litres and we have to find out quantity of milk in that 4 litres mixture..

Like? Yes (1) | No

sivalakshmi 10 years AGO

1st milk and water ratio is 4:6 in 10 litres
6 litres of mix is removed only 4 litres r there in that 4 litres we have to find out how many litres of milk remain there 16/10=1.6 litres of milk der again we pour 6 litres of water nd then we remove 6 litres of mixture process is going on at the we get 0.04096

Like? Yes (2) | No (1)

saranya sankar 10 years AGO

answer is 0.04096

Like? Yes (2) | No (1)

Surya Narayana K 10 years AGO

Final concentration =Initial concentration*(1-removed quantity/total quantity)^(no. of replacements)

So, final concentration= 4*(1-6/10)^5=.04096 (Option 4)

Like? Yes (5) | No (5)

upendra singh chahar 10 years AGO