Selling price of an article is Rs 27692 and loss percentage is 14%. If the selling price is Rs 37352, then what will be the profit percentage?

Options

A. 13.8
B. 18.6
C. 14
D. 16

Answer

To solve the problem step by step, we will first determine the cost price (CP) of the article based on the given selling price (SP) and loss percentage. Then, we will calculate the profit percentage based on the new selling price.

### Step 1: Calculate the Cost Price (CP)
The formula to calculate the Cost Price when the Selling Price and Loss Percentage are known is:

\[ CP = \frac{SP \times 100}{100 - \text{Loss Percentage}} \]

Given:
- Selling Price (SP) = Rs 27,692
- Loss Percentage = 14%

Substituting the values into the formula:

\[ CP = \frac{27,692 \times 100}{100 - 14} = \frac{27,692 \times 100}{86} \]

Calculating this:

\[ CP = \frac{27,692 \times 100}{86} = \frac{2,769,200}{86} \approx 32,200 \]

### Step 2: Calculate the Profit
Now that we have the Cost Price, we can calculate the profit when the new Selling Price is Rs 37,352.

\[ \text{Profit} = \text{New SP} - CP \]

Given:
- New Selling Price = Rs 37,352

Substituting the values:

\[ \text{Profit} = 37,352 - 32,200 = 5,152 \]

### Step 3: Calculate the Profit Percentage
The formula to calculate the Profit Percentage is:

\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{CP}\right) \times 100 \]

Substituting the values:

\[ \text{Profit Percentage} = \left(\frac{5,152}{32,200}\right) \times 100 \]

Calculating this:

\[ \text{Profit Percentage} = \left(\frac{5,152}{32,200}\right) \times 100 \approx 16\% \]

### Final Answer
The profit percentage when the selling price is Rs 37,352 is **16%**.

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