A man purchased a bedsheet for Rs. 450 and sold it at a gain of 10% calculated on the selling price. The selling price of the bedsheet was

Options

A. 460
B. 475
C. 480
D. 500

Answer

To solve the problem step by step, we will follow the logic presented in the video transcript.

### Step 1: Understand the Problem
We need to find the selling price of a bedsheet that was purchased for Rs. 450 and sold at a gain of 10% calculated on the selling price.

**Hint:** Identify the cost price and the percentage gain.

### Step 2: Define the Selling Price
Let the selling price be represented as \( SP \). According to the problem, the gain is 10% of the selling price. Therefore, we can express the gain as:
\[ \text{Gain} = 10\% \text{ of } SP = \frac{10}{100} \times SP = 0.1 \times SP \]

**Hint:** Use a variable to represent the selling price for easier calculations.

### Step 3: Relate Cost Price, Selling Price, and Gain
The relationship between cost price (CP), selling price (SP), and profit (gain) can be expressed as:
\[ \text{Gain} = SP - CP \]
Substituting the values we have:
\[ 0.1 \times SP = SP - 450 \]

**Hint:** Set up an equation that relates the selling price to the cost price using the gain.

### Step 4: Rearrange the Equation
Now, rearranging the equation gives:
\[ SP - 0.1 \times SP = 450 \]
This simplifies to:
\[ 0.9 \times SP = 450 \]

**Hint:** Combine like terms to isolate the selling price.

### Step 5: Solve for Selling Price
To find \( SP \), divide both sides by 0.9:
\[ SP = \frac{450}{0.9} \]
Calculating this gives:
\[ SP = 500 \]

**Hint:** Perform the division carefully to find the selling price.

### Conclusion
The selling price of the bedsheet is Rs. 500.

**Final Answer:** Rs. 500