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 8 of 16.

Bharath Reddy said:   1 decade ago
If 60 liters of the water is added, then the mixture contains only water because the mixture is of 60 liters. What about the milk in the mixture?

Jomson said:   10 years ago
Alligation.

Take ratio of milk.

2/3.0.

1/3.

1/3.1/3.

Assume x as the amount of water to be added.

Therefore 60/x = 1/3 * 3/1.

X = 60.

Anu said:   1 decade ago
Total mixture x=60 ltrs.

a:b=2:1(old ratio) c:d=1:2(new ratio).

x(ad-bc)/c(a+b).

= 60(2*2-1*1)/1(2+1).
= 60(4-1)/3.
= 60*3/3.
= 60 ltrs.

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)

Shubham said:   6 years ago
1+2 = 3.
60/3 = 20.

Water value is change,
But milk remains the same so,
2:1
(1:2)*2= 2:4.

Change in water 4-1 = 3.
Hence,
3*20 = 60.
(1)

ABHINAV KUMAR said:   1 decade ago
ANOTHER WAY WE CAN SOLVE BY,

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

2:1

1:2 :: 60:x.

(2/1)*(1/2) = 60/x.

x = 60.

Priya said:   9 years ago
You are right @Ramesh.

But they didn't mention that the 2nd statement 1:2 Is related to the 1st statement, then how you are relating?

Amit kumar said:   9 years ago
@ALL.

The initial ratio 2:1 and after that 1:2 its only possible when the same amount of liquid is added in the mixture. That's it.

Pranav said:   2 years ago
first water.= 20 liter
second water. = 40 litres
Here, they ask for the quantity of water total.

So, 20 + 40 = 60 => answer.
(23)

Vishal said:   7 years ago
In 2:1 ratio milk +water=40 + 20 = 60 then,
In 1:2 ratio milk+water=20 + 40 = 60 now only total of water from both ratio is 60.
(1)


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