Mathematics · Mixtures and Alligations

Three vessels whose capacities are in the ratio of 3 : 5 : 7 are completely filled with milk mixed with water. The ratios of milk to water in the mixtures in the vessels are 5 : 3, 7 : 2, and 7 : 3, respectively. Taking one-third of the first mixture, one-fifth of the second mixture, and o ne-seventh of the third mixture, a new mixture is prepared, which is kept in a new vessel. Find the percentage of water in the new mixture (rounded off to two places of decimals).