The values of Stock A and Stock B on a particular day are Rs. 50 and Rs. 80, respectively. An investor invests Rs. 100 in Stock A and Rs. 80 in Stock B. He sells all the stocks the next day when the value of Stock A is Rs. 55 and Stock B is Rs. 70. The profit made by the investor is Rs. ________
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Work out how many units of each stock the investment buys, then compare buying and selling value.
Step 1: Find how many units of each stock are bought.
Stock A costs Rs. 50 per unit, and the investor puts in Rs. 100, so he buys \(100/50 = 2\) units of Stock A.
Stock B costs Rs. 80 per unit, and the investor puts in Rs. 80, so he buys \(80/80 = 1\) unit of Stock B.
Step 2: Find the total amount invested.
Total invested = Rs. 100 (in A) + Rs. 80 (in B) = Rs. 180.
Step 3: Find the value when sold.
The next day, Stock A is worth Rs. 55 per unit, so 2 units sell for \(2 \times 55 = 110\) rupees.
Stock B is worth Rs. 70 per unit, so 1 unit sells for Rs. 70.
Total received on selling = Rs. 110 + Rs. 70 = Rs. 180.
Final Answer:
Profit = amount received minus amount invested = 180 - 180 = 0. The investor makes no profit.
\[ \boxed{\text{Profit} = Rs.\ 0} \]