Neeta got profit of 10% on selling an article in Rs. 220. To get the profit of 30%, she should sell the article in how many rupees?

Options

A. X220
B. X230
C. X260
D. X280

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Cost Price (CP)
We know that Neeta sold the article for Rs. 220 with a profit of 10%. To find the cost price, we can use the formula:

\[ \text{Cost Price (CP)} = \frac{100}{100 + \text{Profit Percentage}} \times \text{Selling Price (SP)} \]

Here, the profit percentage is 10%, and the selling price is Rs. 220.

\[ \text{CP} = \frac{100}{100 + 10} \times 220 = \frac{100}{110} \times 220 \]

Now, simplifying this:

\[ \text{CP} = \frac{100 \times 220}{110} = \frac{22000}{110} = 200 \]

So, the cost price is Rs. 200.

### Step 2: Calculate the Selling Price for 30% Profit
Now that we have the cost price, we need to find the selling price for a profit of 30%. We use the formula:

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

Here, the profit percentage is 30%, and the cost price is Rs. 200.

\[ \text{SP} = \left( \frac{100 + 30}{100} \right) \times 200 = \left( \frac{130}{100} \right) \times 200 \]

Now, simplifying this:

\[ \text{SP} = \frac{130 \times 200}{100} = \frac{26000}{100} = 260 \]

So, the selling price to achieve a profit of 30% is Rs. 260.

### Final Answer
Neeta should sell the article for Rs. 260 to achieve a profit of 30%.

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