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
Answer: Option
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:
153 comments Page 3 of 16.

Souvik das said:   4 years 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.
(9)

Kushal said:   4 years 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.
(46)

Swetha said:   5 years ago
m:w=2:1
m+w=60
2x+x-=60
x=20.

m=40 w=20.
Added water be y.
40:(20+y) = 1:2.
On cross multiplication
y=60.
(13)

Chith said:   5 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;
(60÷(30+x)) = 2/3,
X = 60.
(6)

Dileep said:   5 years ago
40/20+x = 1/2.

Cross multiple;
80 = 20 + x.
x = 60.
(4)

Sony said:   5 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.
(8)

Shreyaa said:   5 years ago
40/20+x=1/2 anyone can solve it?
(2)

Sukri said:   5 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).
(1)

Kaveri said:   6 years ago
Thank you, Very clear method, @Santan.

Himanshu said:   6 years ago
Milk 2x:1x water.

Previously 2x+1x=60 litres.
3x=60L.
x=60/3=20litrs.

Previously values = milk - > 2*x=40L.
Water->1*x=20L.

Quantity to be further added in water=x.
40/20+x=1/2.
X=60 L.
(1)


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