The marked price of brand A watches is 15% higher than its original price.Due to increase in demand, the price is further increased by 10%. How much profit will be obtained in selling the watches?

Options

A. `25%`
B. `35%`
C. `26.5%`
D. `27%`

Answer

To solve the problem step by step, let's break it down:

### Step 1: Define the Original Price
Let the original price of the brand A watch be \( P = 100 \).

### Step 2: Calculate the Marked Price
The marked price is 15% higher than the original price. To find the marked price, we can calculate:

\[ \text{Marked Price} = P + (15\% \text{ of } P) = 100 + (0.15 \times 100) = 100 + 15 = 115 \]

### Step 3: Increase the Marked Price by 10%
Now, we need to increase the marked price by 10%. So, we calculate:

\[ \text{New Price} = \text{Marked Price} + (10\% \text{ of Marked Price}) = 115 + (0.10 \times 115) = 115 + 11.5 = 126.5 \]

### Step 4: Calculate the Profit
To find the profit, we subtract the original price from the new price:

\[ \text{Profit} = \text{New Price} - \text{Original Price} = 126.5 - 100 = 26.5 \]

### Step 5: Calculate the Profit Percentage
To find the profit percentage, we use the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Original Price}} \right) \times 100 = \left( \frac{26.5}{100} \right) \times 100 = 26.5\% \]

### Final Answer
The profit obtained in selling the watches is **26.5%**.

---