X and Y are partners who share profits and losses in the ratio of $3$:$1,$ respectively. On August $1,2021,$ their capital balances were: X$,$ P$200,000$ and Y$,$ P$100,000.$ On this date, Z invests P $80,000$ in the firm and is given a capital credit of P$50,000$ which is to be $1/8$ of the capital of the new firm. What is the new capital balance of partner X after the admission of Z$?$N