Answer:
Explanation:The question is not complete,find below the complete question:
Of the shares of stock owned by a certain investor, 30 percent are shares of Company X stock and 1/7 of the remaining shares are shares of Company Y stock. How many shares of Company X stock does the investor own?
(1) The investor owns 100 shares of Company Y stock.
(2) The investor owns 200 more shares of Company X stock than of Company Y stock
1. X is 300 shares
2. X is 300 shares
Step-by-step explanation:
Going by the fact that the investor has a portfolio containing three companies' shares,the shares owned in company X can ascertained as follows:
In the first instance,the investor had 100 shares of company Y:
the shares in company Y is 1/7 after 30% held in company X has been deducted,i.e 1/7*(1-30%)=1/7*0.7=0.1
0.1 is 10%,the shares in company Y is 10% of the entire portfolio
The entire portfolio is =100/0.1=1000 shares
Number of shares held in company X =1000*30%=300 shares
In the second instance:
The investor had 200 more shares in X than Y,which can be interpreted mathematically thus:
0.3*entire portfolio-200 shares=0.1*entire portfolio
let entire portfolio be P
0.3P-200 shares=0.1P
0.3P-0.1P=200 shares
0.2P =200 shares
P=200 Shares/0.2
P=1000 shares
X is 30% of P=1000*30%=300 shares