Q$32$: Deepika needs to purchase an item in $10$ years. The item costs $200$ today, but its price inflates at $4\%$ pa$.$ To finance the project Deepika deposits $20$ into an account at the beginning of each year for $6$ years. She deposits an additional $x$ at the beginning of years $4,5$ and $6$ to meet her goal. The annual effective interest rate is $10\%$ pa$.$ Calculate x