Latest CTS Aptitude Question SOLUTION: A shopkeeper sells milk which contains 5% water. What quantity of pure milk should be added to 2 liters of milk (containing 5% water) so that proportion of water becomes 4%?

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A shopkeeper sells milk which contains 5% water. What quantity of pure milk should be added to 2 liters of milk (containing 5% water) so that proportion of water becomes 4%?

Asked In CTS Vignesh (12 years ago)

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Pargat Pal Singh  (12 years ago)

0.5 ltr

In 2 ltr mixture of milk containing 5% water, quantity of water is 2*5/100= 0.1 ltr.

Now this 0.1 ltr of water is 4% of a mixture of 0.1*100/4 = 2.5 ltr.

so 2.5-2.0 = 0.5 ltr of pure milk is to be added to 2 liters of milk (containing 5% water) so that proportion of water becomes 4%.

Is this solution Helpfull? Yes (29) | No (4)  

Sanjana Patnaik  (12 years ago)

Present proportion of milk and water(in 2 litres of milk) is : 1900:100( in ml)
Now, let the milk should be added x ml
So, the new ratios is (1900+x):100
Hence, the equation becomes 100/(2000+x)=4/100
x comes to 500ml
Therefore, 500 ml of milk should be added so that the proportion of water become s 4%

Is this solution Helpfull? Yes (13) | No (3)  

Harjeet Singh  (7 years ago)

using formula, required quantity of pure milk

=
Initial total Quantity (Initial concentration percentage - Final concentration percentage)
Final concentration percentage
=Initial total Quantity (Initial concentration percentage - Final concentration percentage)/Final concentration percentage
=2(5-4)/4= 0.5L

Is this solution Helpfull? Yes (2) | No   

kalyanamsrija  (7 years ago)

5% in 2lt of milk is 0.1
0.1/(2+x)=4%
4x+8=10
x=0.5
so,ans is 0.5 ..:)simple

Is this solution Helpfull? Yes (1) | No   

naveen  (8 years ago)

5%*(2000ml) =4%(2000ml+x)
0.05(2000ml)=0.04(2000+x)
solve this u will get answer 500ml

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