Answer:
The rationale for crediting premium on bonds payable with $100,000 is that premium on the bonds issuance is $100,000 as shown below.
Step-by-step explanation:
The total cash proceeds realized from the bond issuance is $10,100,000($10,000,000*101%=$ 10,100,000) which is automatically debited to cash/bank account since it is an inflow of cash.
However, the corresponding credit entry should be broken into par value which goes into the bonds payable account as the amount owed to bondholders and the extra shows up in bonds premium account, the analysis is done below:
Cash proceeds $10,100,000
less;amount credited to bonds payable
100/101*$10,100,000 ($10,000,000)
Balancing figure(premium on bonds) $100,000
The premium can also be computed in an alternative way shown below
(premium)/(premium+par)*cash proceeds
1/(1+100)*$10,100,000 $100,000