An article was sold for ₹ 5220 at a loss of 42% of the cost price. What will be the selling price of the article for a profit of 42%?

Options

A. ₹12580
B. ₹17280
C. ₹12780
D. ₹15280

Explanation

To solve the problem step by step, we will follow the reasoning provided in the video transcript.

### Step 1: Understand the given information
The article was sold for ₹5220 at a loss of 42% of the cost price (CP).

### Step 2: Define the loss and selling price relationship
If the cost price (CP) is represented as 100 units, then a loss of 42% means that the selling price (SP) will be:
\[ SP = CP - \text{Loss} = 100 - 42 = 58 \text{ units} \]

### Step 3: Set up the equation for selling price
We know that the selling price (58 units) is equal to ₹5220. Therefore, we can write:
\[ 58 \text{ units} = ₹5220 \]

### Step 4: Calculate the value of 1 unit
To find the value of 1 unit, we divide the selling price by the number of units:
\[ \text{Value of 1 unit} = \frac{5220}{58} = ₹90 \]

### Step 5: Calculate the cost price
Since 100 units represent the cost price, we can find the cost price (CP):
\[ CP = 100 \text{ units} = 100 \times 90 = ₹9000 \]

### Step 6: Calculate the selling price for a profit of 42%
To find the selling price for a profit of 42%, we first calculate the profit amount:
\[ \text{Profit} = 42\% \text{ of CP} = \frac{42}{100} \times 9000 = ₹3780 \]

### Step 7: Add the profit to the cost price to find the new selling price
Now, we can find the new selling price (SP) by adding the profit to the cost price:
\[ SP = CP + \text{Profit} = 9000 + 3780 = ₹12780 \]

### Final Answer
The selling price of the article for a profit of 42% will be ₹12780.

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