Mohan bought an article at 25% less of the marked price and sold it at 15% more than the marked price. Find the profit earned by him.

Options

A. 52.3 %
B. 57.3%
C. 55%
D. 53.3 %

Answer

To solve the problem step by step, we will follow the given information about the marked price, cost price, selling price, and profit.

### Step 1: Assume the Marked Price
Let the marked price (MP) of the article be \(100\) (this is a convenient assumption to simplify calculations).

### Step 2: Calculate the Cost Price
Mohan bought the article at 25% less than the marked price.
- To find the cost price (CP), we calculate:
\[ CP = MP - (25\% \text{ of } MP) = 100 - (0.25 \times 100) = 100 - 25 = 75 \]
So, the cost price is \(75\).

### Step 3: Calculate the Selling Price
Mohan sold the article at 15% more than the marked price.
- To find the selling price (SP), we calculate:
\[ SP = MP + (15\% \text{ of } MP) = 100 + (0.15 \times 100) = 100 + 15 = 115 \]
So, the selling price is \(115\).

### Step 4: Calculate the Profit
Profit is calculated as the difference between the selling price and the cost price.
\[ \text{Profit} = SP - CP = 115 - 75 = 40 \]
Thus, the profit earned by Mohan is \(40\).

### Step 5: Calculate the Profit Percentage
To find the profit percentage, we use the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 = \left(\frac{40}{75}\right) \times 100 \]
Calculating this gives:
\[ \text{Profit Percentage} = \left(\frac{40}{75}\right) \times 100 = \frac{4000}{75} \approx 53.33\% \]

### Final Answer
The profit earned by Mohan is \(40\) and the profit percentage is approximately \(53.33\%\).

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