By selling an article at 20% discount, a shopkeeper gains 25%. If the selling price of the article is Rs 1,440, find :
the cost price of the article.

Answer

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

### Step 1: Understand the relationship between Selling Price, Cost Price, and Profit
The profit percentage is given as 25%. This means that the selling price (SP) is 125% of the cost price (CP).

### Step 2: Write the equation for Selling Price
Since the selling price is given as Rs 1,440, we can express this relationship mathematically:
\[ SP = CP + Profit \]
Given that the profit is 25% of the cost price, we can write:
\[ SP = CP + 0.25 \times CP \]
This simplifies to:
\[ SP = 1.25 \times CP \]

### Step 3: Substitute the Selling Price into the equation
Now, we substitute the value of the selling price into the equation:
\[ 1,440 = 1.25 \times CP \]

### Step 4: Solve for Cost Price
To find the cost price, we can rearrange the equation:
\[ CP = \frac{1,440}{1.25} \]

### Step 5: Calculate the Cost Price
Now, we perform the division:
\[ CP = \frac{1,440}{1.25} = 1,152 \]

### Conclusion
The cost price of the article is Rs 1,152.

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