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:
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 7 of 16.
Vinod said:
1 decade ago
Ramesh Nicely explained .....
Ramana said:
1 decade ago
Total Mixture 60 liter and ration of the milk and water is 2:1.
Then milk is 40 lit and water is 20 lit.
If you go options 40 has to be correct ?
40 : 20 => 40: 20+60 => 40: 80 => 1:2.
Then milk is 40 lit and water is 20 lit.
If you go options 40 has to be correct ?
40 : 20 => 40: 20+60 => 40: 80 => 1:2.
Ramesh said:
1 decade ago
How can we assume that the second ratio (1:2) given in the problem for next 60 liters ?
Piali sinha said:
1 decade ago
Take it a simple way:
60 litre mixture
2:1 is the ratio means
Mixture is divided into 2+1 = 3 parts i.e, 30lt *3 = 60lt
Given 2:1 = milk: water = 40: 20
Now to make it 1:2
When 40:80=1:2
So, 80-20=60 lt water is added to bring out the ratio.
60 litre mixture
2:1 is the ratio means
Mixture is divided into 2+1 = 3 parts i.e, 30lt *3 = 60lt
Given 2:1 = milk: water = 40: 20
Now to make it 1:2
When 40:80=1:2
So, 80-20=60 lt water is added to bring out the ratio.
Raj said:
1 decade ago
Old ratio is 2:1.
New ratio is 1:2.
So new ratio is multiply by 2 we get 2:4 (because we want water only).
Old ratio: 2:1.
New ratio: 2:4.
-----
0:3
-----
So (3/sum of old ratio) *60=3/3*60=60 is the answer. This method can be applied to all problems like this.
New ratio is 1:2.
So new ratio is multiply by 2 we get 2:4 (because we want water only).
Old ratio: 2:1.
New ratio: 2:4.
-----
0:3
-----
So (3/sum of old ratio) *60=3/3*60=60 is the answer. This method can be applied to all problems like this.
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.
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.
Shrikant said:
1 decade ago
Here is one shortcut for such type of problems.
Given quantity x lit.
Ratio p : q.
Ratio a : b.
Formula is x(pb-qa)/a(p+q).
Given quantity x lit.
Ratio p : q.
Ratio a : b.
Formula is x(pb-qa)/a(p+q).
Rpv said:
1 decade ago
@Shrikant.
Is this formula applicable of all type of problems?
Is this formula applicable of all type of problems?
Adnan ahmad said:
1 decade ago
Guys can anybody help me with this problem. The length and breadth of a rectangle is 57m and 38m respectively. Find the ratio of the length to breadth.
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?
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