Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 10)
10.
In what ratio must water be mixed with milk to gain 16
% on selling the mixture at cost price?
% on selling the mixture at cost price?
Answer: Option
Explanation:
Let C.P. of 1 litre milk be Re. 1.
| S.P. of 1 litre of mixture = Re.1, Gain = | 50 | %. |
| 3 |
 C.P. of 1 litre of mixture = |
 |
100 x | 3 | x 1 |  |
= | 6 |
| 350 | 7 |
By the rule of alligation, we have:
| C.P. of 1 litre of water C.P. of 1 litre of milk | |||||
| 0 | Mean Price
| Re. 1 | |||
|
|
||||
| Ratio of water and milk = |
1 | : | 6 | = 1 : 6. |
| 7 | 7 |
Discussion:
51 comments Page 1 of 6.
Divya Kumari said:
11 months ago
Gain%=16 2/3 which means 1/6.
Gain% = sp/cp.
So,
sp = 1, cp = 6
Ratio = 1:6.
Gain% = sp/cp.
So,
sp = 1, cp = 6
Ratio = 1:6.
(6)
Jamshaid said:
3 years ago
Simply,
16.66% water to be mixed in 100% milk.
In surd, 16.666/100 = 1/6.
16.66% water to be mixed in 100% milk.
In surd, 16.666/100 = 1/6.
(9)
Sugumar said:
3 years ago
Gain%,
So, 100 + 50/3 = 350/3.
So, 100 + 50/3 = 350/3.
(13)
P K said:
5 years ago
Water always be the same amount, i.e, 100.
So the extra gain= mixed water, i.e, 50/3%.
water : milk = 50/3 : 100 = 50 : 300 = 1 : 6.
So the extra gain= mixed water, i.e, 50/3%.
water : milk = 50/3 : 100 = 50 : 300 = 1 : 6.
(29)
Nadim miah said:
6 years ago
If 100 is cost price and sp then why do we add 50/3 with cp? Please explain.
(1)
Nitish raja said:
6 years ago
Let cp of milk in% be = 100%,
So, milk : water = 100% : 16 2/3%,
100% : 50/3 = 1: 6.
So, milk : water = 100% : 16 2/3%,
100% : 50/3 = 1: 6.
(1)
Sathish said:
7 years ago
Can anyone explain why taking water : milk and not milk : water?
(1)
Ramesh said:
7 years ago
CP of milk = X.
Water is added
SP of mixture= 1.1667X.
1.1667X=X+0.1667X.
X=milk 0.1667X=Water.
0.1667/1.1667=0.142.
14.2% = Water and 85.7 % milk.
14.2/85.7=1/6.
The water and milk are in the ratio of 1:6.
Water is added
SP of mixture= 1.1667X.
1.1667X=X+0.1667X.
X=milk 0.1667X=Water.
0.1667/1.1667=0.142.
14.2% = Water and 85.7 % milk.
14.2/85.7=1/6.
The water and milk are in the ratio of 1:6.
(2)
RIni said:
7 years ago
The amount of water =x litre.
Amount of milk= 100-x litre.
Profit= (x/(100-x))*100=50/3.
x=100/7=amount of water.
Amount of milk= 100-100/7=600/7.
The ratio of the amount of water to milk=1:6.
Amount of milk= 100-x litre.
Profit= (x/(100-x))*100=50/3.
x=100/7=amount of water.
Amount of milk= 100-100/7=600/7.
The ratio of the amount of water to milk=1:6.
(1)
Sayantan das said:
7 years ago
It will be 6:1 not 1:6.
(2)
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