A trader allows two successive discounts of 5% each on the marked price of a sofa set for Rs. 24,500. The selling price of sofa set is:

Options

A. Rs. 23,274.75
B. Rs. 23, 275
C. Rs. 1,163.75
D. Rs. 22,111.25

Answer

To find the selling price of the sofa set after applying two successive discounts of 5%, we can follow these steps:

### Step 1: Calculate the first discount
The marked price (MP) of the sofa set is Rs. 24,500. The first discount is 5% of the marked price.

First discount = 5% of 24,500
= (5/100) * 24,500
= 1,225

### Step 2: Calculate the price after the first discount
Now, we subtract the first discount from the marked price to find the price after the first discount.

Price after first discount = Marked Price - First Discount
= 24,500 - 1,225
= 23,275

### Step 3: Calculate the second discount
Now, we apply the second discount of 5% on the new price (after the first discount).

Second discount = 5% of 23,275
= (5/100) * 23,275
= 1,163.75

### Step 4: Calculate the selling price after the second discount
Finally, we subtract the second discount from the price after the first discount to find the selling price.

Selling Price = Price after first discount - Second Discount
= 23,275 - 1,163.75
= 22,111.25

### Conclusion
The selling price of the sofa set after applying two successive discounts of 5% each is Rs. 22,111.25.

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