A machine depreciates in value each year at the rate of $10\%$ of its previous value. However, every second year, there is some maintenance work so that in that particular year, depreciation is only $5\%$ of its previous value. If at the end of the fourth year, the value of the machine stands at $₹146205$, then find the value of machine at the start of the first year.

The price of soap is collectively decided by five factors: raw materials, research, labour, advertisements and transportation. Assume that the functional relationship is: $\mathrm{Price} \mathrm{of} \mathrm{soap}=k\times \mathrm{Raw} \mathrm{material} \mathrm{cost}\times \mathrm{Research} \mathrm{cost}\times \mathrm{Labour} \mathrm{cost}\times \mathrm{Advertising} \mathrm{cost}\times \mathrm{Transportation} \mathrm{cost}$. If there are respective changes of $20\%, 20\%, -20\%, 25\%$ and $10\%$ in the five factors, then find the percentage change in the price of soap.