Botox Facial Care had earnings after taxes of $282,000 in 20X1 with 200,000 shares of stock outstanding. The stock price was $81.80. In 20X2, earnings after taxes increased to $418,000 with the same 200,000 shares outstanding. The stock price was $94.00. Required:
a. Compute earnings per share and the P/E ratio for 20X1.
b. Compute earnings per share and the P/E ratio for 20X2.
c. Why did the P/E ratio change? (

The earnings per share and The P/E ratio  for 20X1 is $1.41 and  $58.01 respectively.

The earnings per share and The P/E ratio  for 20X2 is $2.09 and   $44.976 respectively.

Explanation:

a. Earning per shares = Earning after Taxes / total Shares outstanding  

                                  = $282,000/200,000  

                                   = $1.41

Therefore, The earnings per share for 20X1 is $1.41

P/E RATIO = Price Per shares/Earning per shares  

               = $81.80/$1.41  

                = $58.01

Therefore, The P/E ratio for 20X1 is  $58.01

b. Earning per shares = Earning after Taxes / total Shares outstanding  

                                  = $418,000/200,000  

                                   = $2.09

Therefore, The earnings per share for 20X2 is $2.09

P/E RATIO = Price Per shares/Earning per shares  

               = $94.00/$2,09  

                = $44.976

Therefore, The P/E ratio for 20X2 is  $44.976

c.The P/E ratio changed from $58.01 to $44.976 because of the change in earnings per share and the stock price per share.

b is the correct answer