The cost price of a table and a chair together is Rs 400. The table is sold at a profit of 25% and the chair is sold at a profit of 25%. Find the total selling price (in Rs) of both items together.

The correct answer is 500 (Option 1).

Step-by-Step Explanation:

Step 1: Understand the given values

Let the cost price of the table be ${\mathrm{CP}}_{\mathrm{table}}$ and the cost price of the chair be ${\mathrm{CP}}_{\mathrm{chair}}$.

The total cost price of both items together is given as Rs 400.

${\mathrm{CP}}_{\mathrm{total}}={\mathrm{CP}}_{\mathrm{table}}+{\mathrm{CP}}_{\mathrm{chair}}=400$

Step 2: Calculate profit percentage on the combined cost price

Since both the table and the chair are sold at a profit of 25% each, the overall profit percentage on the total cost price is also 25%.

Step 3: Calculate the total selling price

The total selling price (${\mathrm{SP}}_{\mathrm{total}}$) can be calculated using the profit formula:

${\mathrm{SP}}_{\mathrm{total}}={\mathrm{CP}}_{\mathrm{total}}\times \left(1+\frac{25}{100}\right)$

Substitute the given value of total cost price (Rs 400):

${\mathrm{SP}}_{\mathrm{total}}=400\times \left(1+0.25\right)$

${\mathrm{SP}}_{\mathrm{total}}=400\times 1.25$

${\mathrm{SP}}_{\mathrm{total}}=500$

Thus, the total selling price of both items together is Rs 500.