If a trader sold an article at Rs.3,060 after allowing 15% and 10% successive discounts on marked price, then the marked price is

Options

A. Rs. 5,000
B. Rs. 6,000
C. Rs. 3,000
D. Rs. 4,000

Answer

To find the marked price of the article sold by the trader, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Discounts**: The trader gives two successive discounts of 15% and 10% on the marked price. We need to find the marked price (let's denote it as MP).

2. **Assume a Marked Price**: For simplicity, let's assume the marked price (MP) is 100 units. This will help us calculate the selling price after discounts easily.

3. **Calculate the First Selling Price (SP1)**:
- The first discount is 15% of the marked price.
- Calculate the discount amount:
\[ D1 = 15\% \text{ of } MP = \frac{15}{100} \times 100 = 15 \text{ units} \]
- Now, subtract this discount from the marked price to get SP1:
\[ SP1 = MP - D1 = 100 - 15 = 85 \text{ units} \]

4. **Calculate the Second Selling Price (SP)**:
- The second discount is 10% of SP1.
- Calculate the discount amount:
\[ D2 = 10\% \text{ of } SP1 = \frac{10}{100} \times 85 = 8.5 \text{ units} \]
- Now, subtract this discount from SP1 to get the final selling price (SP):
\[ SP = SP1 - D2 = 85 - 8.5 = 76.5 \text{ units} \]

5. **Relate Selling Price to Actual Selling Price**:
- We know from the problem that the selling price (SP) is Rs. 3,060.
- Set up the equation:
\[ 76.5 \text{ units} = 3060 \text{ Rs} \]

6. **Find the Value of One Unit**:
- To find the value of one unit, divide the actual selling price by the units:
\[ \text{Value of 1 unit} = \frac{3060}{76.5} = 40 \text{ Rs} \]

7. **Calculate the Marked Price**:
- Since we assumed the marked price was 100 units, the actual marked price in Rs will be:
\[ MP = 100 \times 40 = 4000 \text{ Rs} \]

### Final Answer:
The marked price of the article is **Rs. 4000**.