An article is sold at a discount of 20% and an additional discount of 30% is allowed on cash payment. If Namrata purchased the article by paying Rs 2240 in cash, the marked price of the article was.

Answer

To find the marked price of the article that Namrata purchased, we can break down the problem step by step.

### Step 1: Understand the Discounts
Namrata receives two discounts:
1. A discount of 20% on the marked price.
2. An additional discount of 30% on the price after the first discount for cash payment.

### Step 2: Let the Marked Price be \( M \)
Assume the marked price of the article is \( M \).

### Step 3: Calculate the Selling Price after the First Discount
The selling price after the first discount of 20% can be calculated as:
\[ \text{Selling Price after 20% discount} = M - 0.20M = 0.80M \]

### Step 4: Calculate the Selling Price after the Additional Discount
Now, Namrata gets an additional 30% discount on the already discounted price:
\[ \text{Selling Price after 30% discount} = 0.80M - 0.30(0.80M) = 0.80M \times (1 - 0.30) = 0.80M \times 0.70 = 0.56M \]

### Step 5: Set Up the Equation
According to the problem, Namrata paid Rs 2240 for the article. Therefore, we can set up the equation:
\[ 0.56M = 2240 \]

### Step 6: Solve for \( M \)
To find the marked price \( M \), divide both sides by 0.56:
\[ M = \frac{2240}{0.56} \]

Calculating the right side:
\[ M = 4000 \]

### Conclusion
The marked price of the article was Rs 4000.

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