A trader gives two successive discounts of `15%` and `10%` on the marked price of an article. If the selling price is Rs. 765, the marked price is

Options

A. Rs. 850
B. Rs. 1000
C. Rs. 800
D. Rs. 900

Answer

To find the marked price of the article after two successive discounts of 15% and 10%, we can follow these steps:

### Step 1: Understand the Selling Price after Discounts
Let the marked price be \( M \). The trader gives two successive discounts:
1. First discount of 15%
2. Second discount of 10%

The selling price after these discounts is given as Rs. 765.

### Step 2: Calculate the Selling Price after the First Discount
The first discount of 15% on the marked price \( M \) can be calculated as:
\[ \text{Price after first discount} = M - 0.15M = 0.85M \]

### Step 3: Calculate the Selling Price after the Second Discount
Now, we apply the second discount of 10% on the price after the first discount:
\[ \text{Price after second discount} = 0.85M - 0.10(0.85M) = 0.85M \times 0.90 = 0.765M \]

### Step 4: Set up the Equation
We know that the selling price after both discounts is Rs. 765:
\[ 0.765M = 765 \]

### Step 5: Solve for Marked Price \( M \)
To find \( M \), we divide both sides by 0.765:
\[ M = \frac{765}{0.765} = 1000 \]

### Conclusion
The marked price of the article is Rs. 1000.