A trader allows two successive discounts of 5% each on a sofaset marked at rs. 24500. The selling price of sofa-set is

Options

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

Answer

To find the selling price of the sofa set after applying two successive discounts of 5% each on the marked price of Rs. 24,500, we can follow these steps:

### Step 1: Calculate the effective discount percentage
When two successive discounts are applied, the effective discount can be calculated using the formula:
\[ \text{Effective Discount} = D_1 + D_2 - \left(\frac{D_1 \times D_2}{100}\right) \]
where \(D_1\) and \(D_2\) are the two discounts.

In this case, both discounts are 5%, so:
\[ \text{Effective Discount} = 5 + 5 - \left(\frac{5 \times 5}{100}\right) \]
\[ = 10 - 0.25 = 9.75\% \]

### Step 2: Calculate the discount value
Now, we will calculate the discount value based on the effective discount percentage:
\[ \text{Discount Value} = \frac{\text{Effective Discount} \times \text{Marked Price}}{100} \]
\[ = \frac{9.75 \times 24500}{100} \]
\[ = \frac{238875}{100} = 2388.75 \]

### Step 3: Calculate the selling price
Finally, we can find the selling price by subtracting the discount value from the marked price:
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount Value} \]
\[ = 24500 - 2388.75 \]
\[ = 22111.25 \]

Thus, the selling price of the sofa set is **Rs. 22,111.25**.

---