Answer:
A) 300 shares
B) 300 shares
Step-by-step explanation:
Let the total shares owned be 'S'
Data provided in the question:
Shares of Company X stock = 30% of S = 0.3S
Shares of Company Y stock =
of remaining stock
i.e
of (S - 0.3S) =
of 0.7S = 0.1S
Now,
A) The investor owns 100 shares of Company Y stock.
This mean
0.1S = 100
Therefore,
S = 1000 shares
Hence,
Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300
B) The investor owns 200 more shares of Company X stock than of Company Y stock.
This means
0.3S = 200 + 0.1S
or
0.3S - 0.1S = 200
or
0.2S = 200
or
S = 1000 shares
Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300