N number of books is distributed among Sita, Gita and Mita. The number of books obtained by Sita is equal to 14\(\frac{2}{7}\)% of the number of books obtained by Gita and the 16\(\frac{2}{3}\)% number of books obtained by Mita is equivalent to 14\(\frac{2}{7}\)% of the number of books obtained Gita. If the difference in the number of books obtained by Sita and Mita is 50, then find the value of N.