When a plot is sold for Rs 18,700, the owner loses `15%` At what price it must be sold in order to gain `15 %?`

Options

A. Rs. 21, 000
B. Rs, 22,500
C. Rs, 25,300
D. None of these

Answer

To solve the problem step by step, we will first determine the cost price (CP) of the plot based on the selling price (SP) and the loss percentage. Then, we will calculate the selling price required to achieve a 15% profit.

### Step 1: Determine the Cost Price (CP)
Given that the plot is sold for Rs 18,700 at a loss of 15%, we can use the formula for selling price in terms of cost price and loss percentage.

The formula is:
\[ SP = CP \times \left(1 - \frac{Loss\%}{100}\right) \]

Here, SP = Rs 18,700 and Loss% = 15.

Substituting the values:
\[ 18,700 = CP \times \left(1 - \frac{15}{100}\right) \]
\[ 18,700 = CP \times 0.85 \]

Now, to find CP:
\[ CP = \frac{18,700}{0.85} \]
\[ CP = 22,000 \]

### Step 2: Calculate the Selling Price for a 15% Profit
Now that we have the cost price, we need to find the selling price that would give a 15% profit.

The formula for selling price in terms of cost price and profit percentage is:
\[ SP = CP \times \left(1 + \frac{Profit\%}{100}\right) \]

Here, Profit% = 15.

Substituting the values:
\[ SP = 22,000 \times \left(1 + \frac{15}{100}\right) \]
\[ SP = 22,000 \times 1.15 \]
\[ SP = 25,300 \]

### Final Answer
The selling price at which the plot must be sold in order to gain 15% is **Rs 25,300**.

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