If a stall sells a pizza at Rs 200 he makes 20% loss if he wants to make 10% profit then at wshat price (in Rs) should he sell?

Options

A. 250
B. 300
C. 275
D. 325

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the Cost Price (CP)
We know that selling a pizza at Rs 200 results in a 20% loss. To find the Cost Price (CP), we can use the formula for loss:

\[ \text{Selling Price (SP)} = \text{Cost Price (CP)} - \text{Loss} \]

Given that the loss is 20%, we can express this as:

\[ \text{Loss} = 20\% \text{ of CP} = \frac{20}{100} \times \text{CP} = 0.2 \times \text{CP} \]

Thus, we can rewrite the equation as:

\[ 200 = \text{CP} - 0.2 \times \text{CP} \]

This simplifies to:

\[ 200 = 0.8 \times \text{CP} \]

Now, we can solve for CP:

\[ \text{CP} = \frac{200}{0.8} = 250 \]

### Step 2: Calculate the Selling Price for 10% Profit
Now that we have the Cost Price (CP) as Rs 250, we need to find the Selling Price (SP) that would give a 10% profit. The formula for profit is:

\[ \text{Selling Price (SP)} = \text{Cost Price (CP)} + \text{Profit} \]

The profit can be calculated as:

\[ \text{Profit} = 10\% \text{ of CP} = \frac{10}{100} \times \text{CP} = 0.1 \times 250 = 25 \]

Now we can find the Selling Price:

\[ \text{SP} = \text{CP} + \text{Profit} = 250 + 25 = 275 \]

### Conclusion
Therefore, to make a 10% profit, the stall should sell the pizza for Rs 275.

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