Madhu bought a handbag at a discount of 25%. On paying in cash, she also got a discount of 10%. She paid Rs. 540. What was the marked price of the handbag ?

Options

A. Rs. 450
B. Rs. 500
C. Rs. 600
D. Rs. 800

Answer

To find the marked price of the handbag that Madhu bought, we can follow these steps:

### Step 1: Define the Marked Price
Let the marked price of the handbag be Rs. X.

### Step 2: Calculate the Price after the First Discount
Madhu received a discount of 25% on the marked price. Therefore, the price she paid after this discount can be calculated as:
\[ \text{Price after 25% discount} = X - 0.25X = 0.75X \]

### Step 3: Calculate the Price after the Second Discount
Since Madhu paid in cash, she received an additional discount of 10% on the already discounted price. The price after the second discount can be calculated as:
\[ \text{Price after 10% discount} = 0.75X - 0.10(0.75X) = 0.75X \times 0.90 = 0.675X \]

### Step 4: Set Up the Equation
According to the problem, the final amount Madhu paid is Rs. 540. Therefore, we can set up the equation:
\[ 0.675X = 540 \]

### Step 5: Solve for X
To find the marked price (X), we can rearrange the equation:
\[ X = \frac{540}{0.675} \]

Calculating this gives:
\[ X = 800 \]

### Conclusion
The marked price of the handbag is Rs. 800.

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