10% of a product's cost price is Rs.1245.80. What would be the selling price if the product is sold at a loss of 15%? (rounded off to the nearest rupee)

Options

A. `12,458`
B. `10,589`
C. `14,327`
D. `14,657`

Answer

To solve the problem step by step, we will follow these calculations:

**Step 1: Find the Cost Price (CP)**
Given that 10% of the Cost Price (CP) is Rs. 1245.80, we can find the full Cost Price using the formula:

\[ \text{CP} = \frac{10\% \text{ of CP}}{10\%} = \frac{1245.80}{0.10} = 12458 \]

**Step 2: Calculate the Loss**
The product is sold at a loss of 15%. We can calculate the loss amount using the formula:

\[ \text{Loss} = \text{Loss Percentage} \times \text{CP} = \frac{15}{100} \times 12458 = 1868.7 \]

**Step 3: Calculate the Selling Price (SP)**
The Selling Price can be calculated using the formula:

\[ \text{SP} = \text{CP} - \text{Loss} \]

Substituting the values we found:

\[ \text{SP} = 12458 - 1868.7 = 10589.3 \]

**Step 4: Round off the Selling Price**
Finally, we round off the Selling Price to the nearest rupee:

\[ \text{Rounded SP} = 10589 \]

Thus, the selling price of the product, when sold at a loss of 15%, is Rs. 10589.

---