The cost of an article is Rs 15,500 and the maintenance cost is Rs 450. If it is sold for a profit of `15%`. find the selling price of the article:

Options

A. Rs 18342.52
B. Rs 18142.50
C. Rs 17395.75
D. Rs 17345.75

Answer

To find the selling price of the article, we need to follow these steps:

### Step 1: Determine the Cost Price (CP)
The cost price of the article is given as Rs. 15,500. Additionally, there is a maintenance cost of Rs. 450.

**Calculation:**
\[ \text{Total Cost Price} = \text{Cost Price} + \text{Maintenance Cost} \]
\[ \text{Total Cost Price} = 15500 + 450 = 15950 \]

### Step 2: Calculate the Profit
The profit percentage is given as 15%. To find the profit amount, we can use the formula:
\[ \text{Profit} = \left(\frac{\text{Profit Percentage}}{100}\right) \times \text{Total Cost Price} \]
**Calculation:**
\[ \text{Profit} = \left(\frac{15}{100}\right) \times 15950 = 0.15 \times 15950 = 2392.5 \]

### Step 3: Calculate the Selling Price (SP)
The selling price can be calculated using the formula:
\[ \text{Selling Price} = \text{Total Cost Price} + \text{Profit} \]
**Calculation:**
\[ \text{Selling Price} = 15950 + 2392.5 = 18342.5 \]

### Final Answer
Thus, the selling price of the article is Rs. 18,342.50.

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