Answer and Explanation:
The computation of the earning per share and the diluted earning per share is as follows;
a. The earning per share is
= (Net income - Preferred dividend) ÷ outstanding shares
= ($230,000 - (5,000 × $4)) ÷ 30,000 shares
= $210,000 ÷ 30,000 shares
= $7 per share
b. The diluted earning per share is
= Earnings ÷ outstanding shares
= $230,000 ÷ (30,000 + (5,000 × 2)
= $5.75 per share
The 30,000 shares come from
Period Outstanding shares Fraction outstanding shares
1-Jan-18 to 30-Apr-18 25000 4 ÷12 8333.33
1-May-18 to 30-Jun-18 34000 2÷ 12 5666.67
1-Jul-18 to 31-Aug-18 28000 2 ÷ 12 4666.67
1-Sep-18 to 31-Dec-18 34000 4 ÷ 12 11333.33
Weighted average outstanding shares 30000