An article is listed at Rs 2375 A man purchases it at two successive discount of 50% and 25% spends Rs 165 on repairing of article. If he sells the articles at a profit a of 62.5% then what is the selling price in rs of the articles?

Options

A. 1467.6
B. 14.926
C. 1715.39
D. 1464.6

Answer

To solve the problem step by step, we will follow the calculations based on the information provided in the question.

### Step 1: Calculate the Selling Price after Discounts
The article is listed at Rs 2375. The man purchases it at two successive discounts of 50% and 25%.

1. **First Discount (50%)**:
\[ \text{Price after first discount} = \text{MP} \times (1 - \text{Discount1}) \]
\[ = 2375 \times (1 - 0.50) = 2375 \times 0.50 = 1187.5 \]

2. **Second Discount (25%)**:
\[ \text{Price after second discount} = \text{Price after first discount} \times (1 - \text{Discount2}) \]
\[ = 1187.5 \times (1 - 0.25) = 1187.5 \times 0.75 = 890.625 \]

### Step 2: Calculate the Total Cost Price
Now, the man spends Rs 165 on repairing the article. Therefore, the total cost price (CP) is:
\[ \text{Total CP} = \text{Price after discounts} + \text{Repair Cost} \]
\[ = 890.625 + 165 = 1055.625 \]

### Step 3: Calculate the Selling Price with Profit
The man sells the article at a profit of 62.5%. The selling price (SP) can be calculated using the formula:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \]
\[ = 1055.625 \times \left(1 + \frac{62.5}{100}\right) = 1055.625 \times 1.625 \]

### Step 4: Calculate the Final Selling Price
Now, we calculate the final selling price:
\[ \text{SP} = 1055.625 \times 1.625 = 1715.390625 \]

### Step 5: Round off the Selling Price
The selling price can be rounded off to two decimal places:
\[ \text{SP} \approx 1715.39 \]

### Final Answer
The selling price of the article is approximately **Rs 1715.39**.

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