Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 1)
1.
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Answer: Option
Explanation:
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
| Quantity of water in new mixture = |  |
3 - | 3x | + x |  |
litres |
| 8 |
| Quantity of syrup in new mixture = | |
5 - | 5x | |
litres |
| 8 |
 |
|
3 - | 3x | + x | |
= | |
5 - | 5x | |
| 8 | 8 |
5x + 24 = 40 - 5x
10x = 16
| x = |
8 | . |
| 5 |
| So, part of the mixture replaced = | |
8 | x | 1 | |
= | 1 | . |
| 5 | 8 | 5 |
Discussion:
203 comments Page 8 of 21.
Kabalai khan said:
8 years ago
3:5 is the ratio given take the largest number in it which is 5.
as per question half of milk and syrup so, 5:5 in large number.
See the difference which is 2 of the taken ratio is 10 so answer is 1/5.
as per question half of milk and syrup so, 5:5 in large number.
See the difference which is 2 of the taken ratio is 10 so answer is 1/5.
Nandu said:
8 years ago
Water : 3 Syrup : 5 & mix = half water & half syrup.
3:5.
[(Diff between 3 & 5)
1:1 *5,
5:5,
2/10= 1/5.
(2= diff between 3 & 5)
(10= 5+5).
I Hope this is the easy method.
3:5.
[(Diff between 3 & 5)
1:1 *5,
5:5,
2/10= 1/5.
(2= diff between 3 & 5)
(10= 5+5).
I Hope this is the easy method.
Sadik shaik said:
1 decade ago
To make equal parts, we just take 1 part from syrup and replace with water to get 4 parts of water and 4 parts of syrup.
So we are replacing 1 part of syrup of 5 parts with water, so the answer is 1/5.
So we are replacing 1 part of syrup of 5 parts with water, so the answer is 1/5.
Fazle Rasool said:
9 years ago
Given : w:s=3:5,
After removal of x litter the ratio becomes w:s=1:1,
Quantity of water before and after is,
3/8 - 3x/8 +x = 1/2.
5x/8 = 1/8.
x = 1/5 this is the answer and it is a simple method.
After removal of x litter the ratio becomes w:s=1:1,
Quantity of water before and after is,
3/8 - 3x/8 +x = 1/2.
5x/8 = 1/8.
x = 1/5 this is the answer and it is a simple method.
Radheshyam said:
1 decade ago
Let volume is 8.
Water = 3/8 syrup = 5/8.
According to question,
Suppose y mixture(water,syrup)are drawn.
Water quantity is 3y/8 and syrup quantity is 5y/8.
3/8-3y/8+y = 5/8-5y/8.
y = 1/5.
Water = 3/8 syrup = 5/8.
According to question,
Suppose y mixture(water,syrup)are drawn.
Water quantity is 3y/8 and syrup quantity is 5y/8.
3/8-3y/8+y = 5/8-5y/8.
y = 1/5.
(1)
Rajnish jha said:
1 decade ago
New quantity of syrup = 5x - 5y.
New quantity of water = 3x - 3y + 8y = 3x + 5y.
They are equal to each other.
=> 5x - 5y = 3x + 5y.
=> 2x = 10y.
=> y/x = 2/10 = 1/5.
=> 8y/8x = 1/5.
New quantity of water = 3x - 3y + 8y = 3x + 5y.
They are equal to each other.
=> 5x - 5y = 3x + 5y.
=> 2x = 10y.
=> y/x = 2/10 = 1/5.
=> 8y/8x = 1/5.
Sybil said:
1 decade ago
A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20% litres of the first solution to make a solution of 10% sugar?
(1)
Haniffa said:
1 decade ago
WATER : SYRUP
3 : 5 = 8.
2 : 0 = 2 (TO BOTH BECOME EQUAL ADD 2 UNITS TO WATER).
5 : 5 = 10 (RATIO IS EQUAL NOW).
SO, ADDED AMOUNT OF WATER IS 2/10 OF FULL AMOUNT. IF YOU SIMPLIFIED IT'S 1/5.
3 : 5 = 8.
2 : 0 = 2 (TO BOTH BECOME EQUAL ADD 2 UNITS TO WATER).
5 : 5 = 10 (RATIO IS EQUAL NOW).
SO, ADDED AMOUNT OF WATER IS 2/10 OF FULL AMOUNT. IF YOU SIMPLIFIED IT'S 1/5.
Krishjlk@gmail.com said:
2 decades ago
Your great surender. Thanks a lot. Really that is very good explanation.
Instead of remembering the formulas you came with the theory.
And concept. Good excellent. Thank you for your post.
Instead of remembering the formulas you came with the theory.
And concept. Good excellent. Thank you for your post.
Shivangi said:
6 years ago
Final(syrup)=initial(syrup)*(1-(qt_replaced/total_mix).
X is a mixture replaced with water.
p is the total quantity of mixture.
4/8=5/8(1-x/p).
We need to find x/p which is 1/5 i.e answer.
X is a mixture replaced with water.
p is the total quantity of mixture.
4/8=5/8(1-x/p).
We need to find x/p which is 1/5 i.e answer.
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