Maria earned a profit of 30 percent on selling an article for Rs. 6,110 /-. What was the cost price of the article ?

Options

A. Rs. 5,725 /-
B. Rs. 4,080 /-
C. Rs. 5,250 /-
D. None of these

Answer

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

### Step 1: Understand the relationship between Cost Price (CP), Selling Price (SP), and Profit
The profit percentage is calculated based on the cost price. If Maria earned a profit of 30%, it means that the selling price is 130% of the cost price.

### Step 2: Express the Selling Price in terms of Cost Price
Let the cost price (CP) be denoted as \( x \).
Since the profit is 30%, the selling price (SP) can be expressed as:
\[ SP = CP + Profit = CP + 0.30 \times CP = 1.30 \times CP = 1.30x \]

### Step 3: Substitute the Selling Price with the given value
We know from the problem that the selling price (SP) is Rs. 6,110. Therefore, we can set up the equation:
\[ 1.30x = 6110 \]

### Step 4: Solve for the Cost Price (CP)
To find the cost price, we can rearrange the equation:
\[ x = \frac{6110}{1.30} \]
Now, calculate the value:
\[ x = \frac{6110}{1.30} = 4700 \]

### Step 5: Conclusion
The cost price of the article is Rs. 4,700.

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