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 15 of 16.

Ruchi said:   1 decade ago
2/3 we can obtain from formula here a:b is 2:1.
then the formula is use a/(a+b)

Reynante s. delima said:   1 decade ago
Where does the ratio 2/3 from?

Shriram said:   1 decade ago
Mixture = 60 litre
ratio is 2: 1 , so milk:water=40:20
New ration= 1: 2
so , 40lr means 1
and x lr means 2
then make cross mul
x = 40*2/1
x = 80 lr

Emani karthik Reddy said:   1 decade ago
Total milk&water mixture is 60lit
milk&water ratio=2:1
separate milk =(2/3)*60 =40lit
water =(1/3)*60=20lit
new ratio is 1:2
only water added let x
=>(40/(20+x))=1:2
=>x=60lit

Sandi said:   1 decade ago
Ramesh I did not understand, can you exp that again.

Santan said:   1 decade ago
2:1 ratio of 60 litre is 40 litre milk and 20 litre water.

i.e 40:20
so to get the ratio 1:2 we should have 40:80
hence we have to add 80-20 (i.e 60) litre of water.

Lakshman said:   2 decades ago
We have 60 litres of mixture.
Milk & water in the ratio 2:1 that means milk is 2 parts and water is 1
part. Totally mixture contains 3 parts(2+1=3 parts = 60 litres mixture).If we want to know the milk quantity thenwe have the general formula is Total mixture X (milk parts/total parts).

Milk quantity=milk parts/total parts
here milk parts=2
here total parts=milk parts+ water parts=2+1=3

Then milk quantity=2/(2+1);
=2/(3)
=2/3.

Nikhita said:   2 decades ago
Why have you multiplied 60 (2/3) for quantity of milk? where did the 3 come from?

Sonia arif said:   2 decades ago
Thnks ramesh, you told a simple way.

Ramesh said:   2 decades ago
Mixture = 60 litre
ratio is 2: 1 , so milk:water=40:20
New ration= 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


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