At 19% discount the selling price of a freezer is 24000, what is the selling price if the discount is 32.5%

Options

A. Rs 13500
B. Rs 20000
C. Rs 16065
D. Rs 21465

Answer

To solve the problem step by step, we will use the relationship between the selling price (SP), marked price (MP), and discount percentage.

### Step 1: Understand the relationship between Selling Price, Marked Price, and Discount
The selling price after a discount can be calculated using the formula:
\[ \text{Selling Price} = \text{Marked Price} \times \left(1 - \frac{\text{Discount Percentage}}{100}\right) \]

### Step 2: Calculate the Marked Price (MP) using the first discount
Given that at a 19% discount, the selling price is ₹24,000, we can set up the equation:
\[ 24000 = MP \times \left(1 - \frac{19}{100}\right) \]
\[ 24000 = MP \times 0.81 \]

Now, we can solve for the marked price (MP):
\[ MP = \frac{24000}{0.81} \]
\[ MP = 29629.63 \] (approximately)

### Step 3: Calculate the Selling Price (SP) for the second discount
Now we need to find the selling price when the discount is 32.5%. Using the same formula:
\[ \text{Selling Price} = MP \times \left(1 - \frac{32.5}{100}\right) \]
\[ \text{Selling Price} = MP \times 0.675 \]

Substituting the value of MP we found:
\[ \text{Selling Price} = 29629.63 \times 0.675 \]
\[ \text{Selling Price} = 20000 \] (approximately)

### Final Answer
The selling price of the freezer at a 32.5% discount is approximately ₹20,000.

---