# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 5)
5.
In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:
20 litres
30 litres
40 litres
60 litres
Explanation:

 Quantity of milk = 60 x 2 litres = 40 litres. 3

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be x litres.

 Then, milk : water = 40 . 20 + x

 Now, 40 = 1 20 + x 2 20 + x = 80 x = 60. Quantity of water to be added = 60 litres.

Discussion:
135 comments Page 1 of 14.

The ratio of milk to water is given as: 2:1.
Let us assume a quantity of milk is 2x ans water is x.
Therefore ,
2x + x = 60 liters (Total mixture).
3x = 60
x = 20 --------(1)

Now milk is 2x therefore 2*20 = 40 liters is milk.
Now new water is added therefore x becomes (20 + x),
now new ration is given 40 /(20+x) = 1/2,
80 = 20 + x.
x = 60 Liters.
(4)

Nagasheshu said:   10 months ago
60 lit, 2:1.

2x +1x = 60 lit,
3x = 60,
x = 60/3,
x = 20 lit.

Souvik das said:   12 months ago
The ratio of milk and water in 60L is;
m=2.
w=1 (2+1)=3,
milk = 2/3, water=1/3.

milk in 60L = 2/3 * 60= 40L.
water in 60L = 1/3 * 60= 20L,
40:(20+60)=4:8= 1:2.

Kushal said:   1 year ago
@All.

Simply the solution is;

Mixture = 60 litre.
The ratio is 2: 1 , so milk:water=40:20.
New ratio= 1: 2 , means milk : water should be 40:80.
Water in the new mixture should be 80.
Less water already in the mix 20.
Water to be added now is 60.
(1)

Swetha said:   2 years ago
m:w=2:1
m+w=60
2x+x-=60
x=20.

m=40 w=20.
40:(20+y) = 1:2.
On cross multiplication
y=60.

Chith said:   2 years ago
The initial quantity of milk=(2/3)*90 = 60,
Initial quantity of water=(1/3)*90 = 30,
If the ratio is to be 2:3 the water to be added;
(60Ã·(30+x)) = 2/3,
X = 60.

Dileep said:   2 years ago
40/20+x = 1/2.

Cross multiple;
80 = 20 + x.
x = 60.

Sony said:   2 years ago
Total = 60.
Milk: water 2:1 means 40:20.
60*40/20 = 120.
1:2 new ratio, then water added
120 = 40:80.

Then,
120*40/80 = 60.
Thank you.

Shreyaa said:   2 years ago
40/20+x=1/2 anyone can solve it?

Sukri said:   2 years ago
Initially we have 60lt in the ratio 2:1.
i.e: 40lt milk & 20lt water.

Think logically,

Our condition is to make the ratio as 1:2.
i.e: 40lt milk & 80lt water.
Then 40 : 80 it will become 1:2.
So, the required amount of water will be 80 - 20 (i.e: final quantity - initial quantity -> then we can get req amount of water to make the ratio as 1:2).