In a partnership, X invests \(\frac{1}{6}\)^th of the capital for \(\frac{1}{6}\)^th of the time, Y invests \(\frac{1}{3}\)rd of the capital for \(\frac{1}{3}\)^rd time and Z invests the remaining capital for the whole time. If at the end of the year the profit earned is ₹ 23,000, then what will be Y's share ?