Pooja earned a profit of 40 percent on selling an article for Rs. 8,750/-. What was the cost price of the article ?

Options

A. Rs. 8.725/-
B. Rs. 7,080/-
C. Rs. 6,250/-
D. Rs. 5,400/-

Answer

To find the cost price of the article, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Profit Percentage.
The formula for selling price when profit is involved is:
\[ \text{SP} = \text{CP} + \text{Profit} \]
Where profit can also be expressed in terms of cost price:
\[ \text{Profit} = \frac{\text{Profit Percentage}}{100} \times \text{CP} \]

### Step 2: Set up the equation using the given values.
Given:
- Selling Price (SP) = Rs. 8,750
- Profit Percentage = 40%

We can express the profit in terms of cost price:
\[ \text{Profit} = \frac{40}{100} \times \text{CP} = 0.4 \times \text{CP} \]

Now substituting this into the selling price formula:
\[ \text{SP} = \text{CP} + 0.4 \times \text{CP} \]
\[ 8750 = \text{CP} + 0.4 \times \text{CP} \]
\[ 8750 = 1.4 \times \text{CP} \]

### Step 3: Solve for the Cost Price (CP).
To find CP, we can rearrange the equation:
\[ \text{CP} = \frac{8750}{1.4} \]

Now, let's perform the division:
\[ \text{CP} = 6250 \]

### Conclusion:
The cost price of the article is Rs. 6,250.

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