The loss in selling an article for Rs. 1235 was 5%. At what should it be sold to get a profit of 10%?

Options

A. A) Rs. 1335
B. B) Rs. 1380
C. C) Rs. 1430
D. D) Rs. 1300

Answer

To solve the problem step by step, we can follow the outlined process:

### Step 1: Identify the given values
- Selling Price (SP) = Rs. 1235
- Loss Percentage = 5%

### Step 2: Calculate the Cost Price (CP)
Since there is a loss of 5%, we can express the relationship between SP and CP as follows:

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

Given that the loss is 5%, we can rearrange this formula to find CP:

\[ \text{SP} = \text{CP} \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \]

Substituting the values:

\[ 1235 = \text{CP} \times \left(1 - \frac{5}{100}\right) \]
\[ 1235 = \text{CP} \times \frac{95}{100} \]

Now, we can solve for CP:

\[ \text{CP} = \frac{1235 \times 100}{95} \]

### Step 3: Perform the calculation for CP
Calculating CP:

\[ \text{CP} = \frac{123500}{95} = 1300 \]

### Step 4: Calculate the Selling Price for a Profit of 10%
Now that we have the Cost Price (CP), we want to find the Selling Price (SP) that gives us a profit of 10%.

Using the formula for Selling Price with profit:

\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \]

Substituting the values:

\[ \text{SP} = 1300 \times \left(1 + \frac{10}{100}\right) \]
\[ \text{SP} = 1300 \times \frac{110}{100} \]

### Step 5: Perform the calculation for SP
Calculating SP:

\[ \text{SP} = 1300 \times 1.1 = 1430 \]

### Final Answer
Thus, the Selling Price to achieve a profit of 10% should be Rs. 1430.

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