Two successive discounts of 10% and 25% are given by Rajat on a shirt. If the marked price of the shirt is Rs 800, then what is the value (in Rs) of discount?

Options

A. 260
B. 252
C. 248
D. 268

Answer

To find the total discount given on the shirt with a marked price of Rs 800 and two successive discounts of 10% and 25%, we can follow these steps:

### Step 1: Calculate the first discount (D1)
The first discount is 10% of the marked price.

\[ D1 = 10\% \text{ of } 800 = \frac{10}{100} \times 800 = 80 \text{ Rs} \]

### Step 2: Calculate the selling price after the first discount
Subtract the first discount from the marked price to find the new selling price.

\[ \text{Selling Price after D1} = 800 - D1 = 800 - 80 = 720 \text{ Rs} \]

### Step 3: Calculate the second discount (D2)
The second discount is 25% of the new selling price (after the first discount).

\[ D2 = 25\% \text{ of } 720 = \frac{25}{100} \times 720 = 180 \text{ Rs} \]

### Step 4: Calculate the selling price after the second discount
Subtract the second discount from the selling price after the first discount.

\[ \text{Selling Price after D2} = 720 - D2 = 720 - 180 = 540 \text{ Rs} \]

### Step 5: Calculate the total discount
The total discount is the sum of both discounts.

\[ \text{Total Discount} = D1 + D2 = 80 + 180 = 260 \text{ Rs} \]

### Final Answer
The value of the total discount is Rs 260.

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