Kirti bought a plot of land in the outer of the city for Rs 32,50,000. She built a wall around it for which she spent Rs 1,75,000. Then she wants to sell it at Rs 40,00,000 by making an advertisement in the television which costs her Rs 15,000. Find her profit percent.

Options

A. `16.28%`
B. `13.27%`
C. `14.52%`
D. `15.25%`

Answer

To solve the problem step by step, we will calculate the total cost price, the profit, and then the profit percentage.

### Step 1: Calculate the Total Cost Price (CP)
The total cost price includes the cost of the plot, the cost of building the wall, and the cost of advertisement.

- Cost of the plot = Rs 32,50,000
- Cost of the wall = Rs 1,75,000
- Cost of advertisement = Rs 15,000

**Total Cost Price (CP) = Cost of the plot + Cost of the wall + Cost of advertisement**

\[ CP = 32,50,000 + 1,75,000 + 15,000 \]

\[ CP = 32,50,000 + 1,75,000 = 34,25,000 \]

\[ CP = 34,25,000 + 15,000 = 34,40,000 \]

Thus, the total cost price is Rs 34,40,000.

### Step 2: Identify the Selling Price (SP)
The selling price at which Kirti wants to sell the plot is given as:

- Selling Price (SP) = Rs 40,00,000

### Step 3: Calculate the Profit
Profit can be calculated using the formula:

\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]

\[ \text{Profit} = 40,00,000 - 34,40,000 \]

\[ \text{Profit} = 5,60,000 \]

### Step 4: Calculate the Profit Percentage
Profit percentage can be calculated using the formula:

\[ \text{Profit Percent} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100 \]

Substituting the values we have:

\[ \text{Profit Percent} = \left(\frac{5,60,000}{34,40,000}\right) \times 100 \]

Calculating the fraction:

\[ \text{Profit Percent} = \left(\frac{5,60,000}{34,40,000}\right) = 0.16279 \]

Now, multiplying by 100:

\[ \text{Profit Percent} = 0.16279 \times 100 \approx 16.28\% \]

### Final Answer
The profit percentage is approximately **16.28%**.

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