On January $1,20$X$2,$ Peter Corporation reported total assets of $$1,000,000,$ liabilities of

$$500,000,$ and stockholders$$ equity of $$500,000.$ At that date, Sam Corporation reported total

assets of $$600,000,$ liabilities of $$300,000,$ and stockholders$$ equity of $$300,000.$ After a friendly

takeover, Peter paid Sam$$s existing shareholders both bond of $$80,000$ and $$100,000$ in cash for

acquiring $60\%$ of the voting common shares of Sam.

Required: $($Show your detailed computation process.$)$

a$)$ What am