Radha bought a dress for Rs 374 with a discount of 15% on the marked price. Find the marked price of the dress.

Options

A. Rs 440
B. Rs 450
C. Rs 460
D. Rs 480

Answer

To find the marked price of the dress that Radha bought for Rs. 374 with a discount of 15%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price, Marked Price, and Discount
The selling price (SP) is the price paid after applying the discount on the marked price (MP). The relationship can be expressed as:
\[ \text{SP} = \text{MP} - \text{Discount} \]

### Step 2: Express the Discount in terms of Marked Price
The discount is given as a percentage of the marked price. Therefore, if the marked price is MP, the discount can be expressed as:
\[ \text{Discount} = \frac{15}{100} \times \text{MP} = 0.15 \times \text{MP} \]

### Step 3: Substitute the Discount into the Selling Price Equation
Now, substituting the discount into the selling price equation:
\[ \text{SP} = \text{MP} - 0.15 \times \text{MP} \]
This simplifies to:
\[ \text{SP} = 0.85 \times \text{MP} \]

### Step 4: Set up the equation with the Selling Price
We know that Radha paid Rs. 374 for the dress, so we can set up the equation:
\[ 374 = 0.85 \times \text{MP} \]

### Step 5: Solve for the Marked Price
To find the marked price, rearrange the equation:
\[ \text{MP} = \frac{374}{0.85} \]

### Step 6: Calculate the Marked Price
Now, performing the division:
\[ \text{MP} = \frac{374}{0.85} \approx 440 \]

### Conclusion
Thus, the marked price of the dress is Rs. 440.

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