An article is sold for ₹5360 after giving discount of 20%. What is the marked price of article?

Options

A. ₹`6800`
B. ₹`6700`
C. ₹`6620`
D. ₹`7000`

Answer

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

### Step 1: Understand the relationship between Selling Price, Marked Price, and Discount
The selling price (SP) is the price after the discount has been applied to the marked price (MP). If a discount of 20% is given, it means the selling price is 80% of the marked price.

### Step 2: Set up the equation
Let the marked price be represented as 100%. Since a discount of 20% is given, the selling price will be 80% of the marked price. Therefore, we can express this relationship mathematically as:
\[ SP = MP - (Discount \% \times MP) \]
or
\[ SP = 80\% \times MP \]

### Step 3: Substitute the known values
We know the selling price (SP) is ₹5360. Thus, we can write:
\[ 5360 = 80\% \times MP \]
This can also be written as:
\[ 5360 = 0.80 \times MP \]

### Step 4: Solve for the Marked Price (MP)
To find the marked price, we can rearrange the equation:
\[ MP = \frac{5360}{0.80} \]

### Step 5: Calculate the Marked Price
Now, we perform the division:
\[ MP = \frac{5360}{0.80} = 6700 \]

### Conclusion
The marked price of the article is ₹6700.