Question $2$: A small shopping complex can be constructed for Rs $5,000,000/-.$ The financing requires Rs $500,000/-$ down $($you pay$)$ and a Rs $4,500,000$ loan at $10\%$ with equal annual payments. The gross income for the first year is estimated at Rs $600,000/-$ and is expected to increase $5\%$ per year thereafter. The operating and maintenance costs and taxes should average about $40\%$ of the gross income and rise at the same $5\%$ annual rate. The resale value in $30$ years is estimated at Rs $10,000,000/-.$ Find the rate of return on this investment over the $30-$year life. Try problem assuming the increase follows $($i$)$ arithmetic gradient, and $($ii$)$ geometric gradient $($Hint: Try between $10\%$ and $15\%)$