An article was sold for Rs.26,000 at a discount of 35%.Find the selling price if the discount was 15% .
A. Rs.36,000
B. Rs 40,000
C. Rs. 38,000
D Rs,34,000

Options

A. B
B. A
C. D
D. C

Answer

To solve the problem step by step, we need to find the marked price of the article first, and then calculate the selling price if the discount was 15%.

### Step 1: Understand the given information
- Selling Price (SP) at 35% discount = Rs. 26,000
- Discount = 35%

### Step 2: Calculate the Marked Price (MP)
Since the selling price is given after applying a discount, we can find the marked price using the formula:
\[ \text{SP} = \text{MP} \times \left(1 - \frac{\text{Discount}}{100}\right) \]
Here, the discount is 35%, so:
\[ \text{SP} = \text{MP} \times \left(1 - \frac{35}{100}\right) = \text{MP} \times 0.65 \]
Now, substituting the SP value:
\[ 26000 = \text{MP} \times 0.65 \]
To find MP, rearrange the equation:
\[ \text{MP} = \frac{26000}{0.65} \]

### Step 3: Calculate MP
Now, perform the calculation:
\[ \text{MP} = \frac{26000 \times 100}{65} = \frac{2600000}{65} = 40000 \]

### Step 4: Calculate Selling Price for 15% Discount
Now, we need to find the selling price if the discount is 15%. The new selling price can be calculated as:
\[ \text{New SP} = \text{MP} \times \left(1 - \frac{15}{100}\right) = \text{MP} \times 0.85 \]
Substituting the value of MP:
\[ \text{New SP} = 40000 \times 0.85 \]

### Step 5: Calculate New SP
Now, perform the calculation:
\[ \text{New SP} = 40000 \times 0.85 = 34000 \]

### Final Answer
Thus, the selling price if the discount was 15% is **Rs. 34,000**.