Asif123 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X ?
(A) 30% (B) 33 1/3 % (C) 37.5 % (D) 40% (E) 50%
Let’s denote X as number of liquid X parts in 1 liter of solution Y
Let’s denote W as number of parts of water in 1 liter of solution Y
Initially we have:
0.3x + 0.7w for one kilogram of solution Y or:
2.4x + 5.6w for 8 kilograms of solution Y
Evaporating 2 kg of water results in:
2.4x + 3.6w
Adding 2kg of solution Y means adding (0.6x +1.4 w) to (2.4x + 3.6w)
The final composition of mixture is:
3x + 5w
The percentage of liquid x is: 3/ (3+5) = 3/8 =37.5%