A shopkeeper allows a rebate of 12% on the marked price of an article such that the selling price is 440. Then the marked price of the article is

Options

A. 490
B. 500
C. 600
D. 550

Answer

To find the marked price of the article given that a shopkeeper allows a rebate of 12% and the selling price is 440, we can follow these steps:

### Step 1: Understand the relationship between marked price, rebate, and selling price.
The selling price (SP) can be calculated using the formula:
\[ SP = \text{Marked Price} - \text{Rebate} \]
Where the rebate is a percentage of the marked price.

### Step 2: Let the marked price be represented as \( x \).
Given that the rebate is 12%, we can express the rebate as:
\[ \text{Rebate} = 12\% \text{ of } x = \frac{12}{100} \times x = 0.12x \]

### Step 3: Substitute the rebate into the selling price formula.
Using the formula for selling price:
\[ SP = x - 0.12x \]
This simplifies to:
\[ SP = 0.88x \]

### Step 4: Set the selling price equal to 440.
Since we know the selling price is 440, we can write:
\[ 0.88x = 440 \]

### Step 5: Solve for \( x \) (the marked price).
To find \( x \), divide both sides by 0.88:
\[ x = \frac{440}{0.88} \]
Calculating this gives:
\[ x = 500 \]

### Conclusion:
The marked price of the article is **500**.

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