In a partnership, X invests \(\frac{1}{6}\)th of the capital for \(\frac{1}{3}\)rd of the time, Y invests \(\frac{1}{3}\)rd of the capital for \(\frac{1}{3}\)rd of the time, Z invests the rest of the capital whole duration . If the profit was Rs. 9200 at the end of the year, what was Y’s share?