A trader allows two successive discounts of 30% and 15% on selling an article. If he gets Rs. 476 for that article, find its marked price.

Options

A. Rs. 700
B. Rs. 400
C. Rs. 900
D. Rs. 800

Answer

To find the marked price of the article after two successive discounts of 30% and 15% that result in a selling price of Rs. 476, we can follow these steps:

### Step 1: Understand the Discounts
The trader gives two successive discounts:
1. First discount of 30%
2. Second discount of 15%

### Step 2: Calculate the Selling Price after the First Discount
Let the marked price be \( M \). After the first discount of 30%, the selling price becomes:
\[ \text{Selling Price after 1st discount} = M \times (1 - 0.30) = M \times 0.70 \]

### Step 3: Calculate the Selling Price after the Second Discount
Now, applying the second discount of 15% on the new price:
\[ \text{Selling Price after 2nd discount} = (M \times 0.70) \times (1 - 0.15) = (M \times 0.70) \times 0.85 \]
This simplifies to:
\[ \text{Selling Price after 2nd discount} = M \times 0.70 \times 0.85 = M \times 0.595 \]

### Step 4: Set Up the Equation
We know the final selling price after both discounts is Rs. 476. Therefore, we can set up the equation:
\[ M \times 0.595 = 476 \]

### Step 5: Solve for Marked Price \( M \)
To find \( M \), divide both sides of the equation by 0.595:
\[ M = \frac{476}{0.595} \]

### Step 6: Calculate the Value
Now, performing the division:
\[ M \approx 800 \]

### Conclusion
The marked price of the article is approximately Rs. 800.

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