Partially participation(PS)_

[omaruko]

Hi all
Pls. help me out how to solve this problem

①A own preferred stock $100 par 5% 1000issues
          common stock $200 par 5% 1000issues
preferred stock fully participate
dividend　payable　$21,000

②A own preferred stock $100 par 6% 1000issues
          common stock $200 par 5% 1000issues
preferred stock partially participate
dividend　payable　$21,000

①I can understand how to figure out the dividend of PS and CS
preferred stock ＝$7000
common stock ＝$14,000

②
I calculated it as follows
PS＝6%X$100X1000=$6000
CS＝5%X$200X1000=$10000

Remaining

$5000X100,000/300,000=$1667
$5000X200,000/300,000=$3333

PS＝$6000+$1667=$7667
CS＝$10000+$3333=$13333

Am I right I solve the above way

Answer is

Remaining　$6000　is divided as follows

PS＝(6%-5%)X$100X1000=$1000
CS＝$6000-$1000=$5000

PS＝$5000+$1000=$6000
CS＝$10000+$5000=$15000

I would appreciate it if you give me any advice.