If \( x^{2} = y + z \), \( y^{2} = z + x \) and \( z^{2} = x + y \), then find the value of \( \frac{1}{x+1} \) + \( \frac{1}{y+1} \) + \( \frac{1}{z+1} \).
The simple interest on a certain sum for 3 years at 8% per annum is ₹96 more than the simple interest on the same sum for 2 years at 9% per annum. Find the sum.