![A Jar contains 90 litres of the mixture of milk and water in the ratio of 5: 4 and 45 litres of the mixture is taken out](https://www.gkseries.com/blog/wp-content/uploads/2024/03/A-Jar-contains-90-litres-of-the-mixture-of-milk-and-water-in-the-ratio-of-5-4-and-45-litres-of-the-mixture-is-taken-out-1.jpg)
A Jar contains 90 litres of the mixture of milk and water in the ratio of 5: 4 and 45 litres of the mixture is taken out. Then added x liters of the water in the remaining mixture, the ratio of the milk and water becomes 2: 3. Find the value of x?
A.18
B.17.5
C.16
D.15.5
E.14.5
Sol:
Milk = 5/9 * 90 = 50 litres
Water = 4/9 * 36 = 40 litres
Milk in 45 litres = 5/9 * 45 = 25 litres
Water in 18 litres = 4/9 * 45 = 20 litres
(50 – 25)/(40 – 20 + x) = 2/3
40 + 2x = 75
2x = 35
x = 17.5 litres