Shreyas bought an article and sold it for 125% of its cost price. What was the cost price of the article, if shreyas sold it for 30750 ?

Options

A. 24600
B. 25640
C. 24250
D. none of these

Answer

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

### Step 1: Understand the selling price in relation to the cost price.
Shreyas sold the article for 125% of its cost price. This means if we let the cost price (CP) be represented as \( CP \), then the selling price (SP) can be expressed as:
\[ SP = 125\% \times CP \]
\[ SP = \frac{125}{100} \times CP \]
\[ SP = 1.25 \times CP \]

### Step 2: Set up the equation using the selling price.
We know from the problem that Shreyas sold the article for 30750. Therefore, we can set up the equation:
\[ 1.25 \times CP = 30750 \]

### Step 3: Solve for the cost price.
To find the cost price, we need to isolate \( CP \) in the equation. We can do this by dividing both sides by 1.25:
\[ CP = \frac{30750}{1.25} \]

### Step 4: Calculate the cost price.
Now, we perform the division:
\[ CP = 30750 \div 1.25 \]
\[ CP = 24600 \]

### Conclusion:
Thus, the cost price of the article is \( 24600 \).