A loss of 12%, is incurred when an article is sold for Rs 242. To get a profit of 15%. the article should be sold for(in Rs):

Options

A. 324
B. 316.25
C. `326.50`
D. 319

Answer

To solve the problem, we need to find the cost price (CP) of the article first, and then determine the selling price (SP) required to achieve a profit of 15%.

### Step 1: Determine the Cost Price (CP)
We know that a loss of 12% occurs when the article is sold for Rs 242.

The formula for selling price (SP) when there is a loss is:
\[ SP = CP \times \left(1 - \frac{Loss\%}{100}\right) \]

Given:
- SP = Rs 242
- Loss% = 12%

Substituting the values into the formula:
\[ 242 = CP \times \left(1 - \frac{12}{100}\right) \]
\[ 242 = CP \times 0.88 \]

Now, we can find the cost price (CP):
\[ CP = \frac{242}{0.88} \]
\[ CP = 275 \]

### Step 2: Calculate the Selling Price for a Profit of 15%
Now that we have the cost price, we can find the selling price required for a profit of 15%.

The formula for selling price (SP) when there is a profit is:
\[ SP = CP \times \left(1 + \frac{Profit\%}{100}\right) \]

Given:
- Profit% = 15%

Substituting the values into the formula:
\[ SP = 275 \times \left(1 + \frac{15}{100}\right) \]
\[ SP = 275 \times 1.15 \]
\[ SP = 316.25 \]

### Conclusion
To achieve a profit of 15%, the article should be sold for Rs 316.25.

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