A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
Question:
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
[A].
4%
6%
20%
25%
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
[A].
[B].
[C].
[D].
Answer: Option C
Explanation:
Let C.P. of 1 litre milk be Re. 1
Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.
| C.P. of 1 litre mixture = Re. | 100 | x 1 | = | 4 | ||
| 125 | 5 |
By the rule of alligation, we have:
|
C.P. of 1 litre of milk C.P. of 1 litre of water |
|||||
| Re. 1 | Mean Price
|
0 | |||
|
|
||||
| Ratio of milk to water = | 4 | : | 1 | = 4 : 1. |
| 5 | 5 |
| Hence, percentage of water in the mixture = | 1 | x 100 | % | = 20%. | |
| 5 |