An article was sold at Rs. 950 allowing 5% discount on the marked price. The marked price of the article is/

Options

A. 960
B. 1000
C. 955
D. 945

Explanation

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

### Step 1: Understand the given information
- Selling Price (SP) = Rs. 950
- Discount Percentage = 5%

### Step 2: Calculate the effective selling price after discount
When a discount of 5% is given on the marked price (MP), the selling price can be expressed as:
\[ SP = MP - \text{Discount} \]
The discount can also be expressed as:
\[ \text{Discount} = \frac{5}{100} \times MP \]
Thus, we can rewrite the selling price as:
\[ SP = MP - \frac{5}{100} \times MP \]
This simplifies to:
\[ SP = MP \left(1 - \frac{5}{100}\right) \]
\[ SP = MP \left(\frac{95}{100}\right) \]

### Step 3: Substitute the known selling price into the equation
Now, substituting the selling price (SP = 950) into the equation:
\[ 950 = MP \left(\frac{95}{100}\right) \]

### Step 4: Solve for the marked price (MP)
To find the marked price, we can rearrange the equation:
\[ MP = 950 \times \frac{100}{95} \]
Calculating this gives:
\[ MP = 950 \times \frac{100}{95} = 950 \times \frac{20}{19} \]
\[ MP = 1000 \]

### Conclusion
Thus, the marked price of the article is Rs. 1000.

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