Question

Stocks A, B and C, at 120, 90 and 80 rs respectively. A trader holds a portfolio consisting 60 shares of A, 20 of B and C together. If total value is 33000 what is the number of shares he holds.

Hint:

Write the total portfolio value as (shares times price) added up for each stock, and read the phrase about B and C as 20 shares of B plus an unstated number of C shares. Instead of solving for the C shares alone, try setting the total number of shares as your one unknown from the start.

Answer 1

Correct Answer: 380

Step 1: Value of A's holding: \(60\times120=7200\). Value of B's holding: \(20\times90=1800\).
Step 2: Combined value of A and B: \(7200+1800=9000\), so the value coming from C is \(33000-9000=24000\).
Step 3: Number of C shares: \[ \frac{24000}{80}=300. \]
Final Answer: total shares \[ =60+20+300=\boxed{380} \]