In repaying a debt at $12\%$ interest with each payment made at the beginning of each period, $P80,000$ was paid for $3$ years, $P150,000$

for the next year, and $P220,000$ for the next. How much was the debt?

P$461,785\mathrm{.}10$

P$329,708\mathrm{.}56$

P$376,821\mathrm{.}71$

P$405,991\mathrm{.}05$