When a discount of rs. 42 is allowed on the marked price of an article, the new reduced price becomes 86% of the original price. Find the marked price.

Options

A. Rs. 250
B. Rs. 300
C. Rs. 350
D. Rs. 400

Answer

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

### Step 1: Define the Marked Price
Let the marked price of the article be represented as \( M \).

### Step 2: Calculate the Reduced Price
According to the problem, when a discount of Rs. 42 is applied to the marked price, the new reduced price becomes 86% of the original price. Therefore, we can express this mathematically as:
\[ M - 42 = 0.86M \]

### Step 3: Rearrange the Equation
Now, we can rearrange the equation to isolate \( M \):
\[ M - 0.86M = 42 \]
\[ 0.14M = 42 \]

### Step 4: Solve for the Marked Price
To find \( M \), divide both sides of the equation by 0.14:
\[ M = \frac{42}{0.14} \]

### Step 5: Calculate the Value
Now, calculate the value:
\[ M = 300 \]

### Conclusion
Thus, the marked price of the article is Rs. 300.

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