A₹26,950
B₹25,000
C₹21,560
D₹27,855
Answer:
C. ₹21,560
Read Explanation:
The cost price of each dining table is ₹21,560.
Step 1: Set up the Profit Equation
We know the basic formula for profit is:
$\text{Selling Price (SP)} - \text{Cost Price (CP)} = \text{Profit} $
According to the question:
Quantity sold = 20 dining tables
$\text{Total Selling Price (SP of 20 tables)} = ₹5,39,000$
$\text{Total Profit} = \text{Cost Price of 5 tables (5 CP)}$
Now substitute these into the basic formula:
$\text{SP of 20 tables} - \text{CP of 20 tables} = \text{CP of 5 tables}$
Step 2: Simplify the Equation
Bring the Cost Price (CP) terms to the same side:
$\text{SP of 20 tables} = \text{CP of 5 tables} + \text{CP of 20 tables}$
$\text{SP of 20 tables} = \text{CP of 25 tables}$
This means that the money received from selling 20 tables ($₹5,39,000$) is exactly equal to the cost of buying 25 tables.
Step 3: Calculate the Cost Price of 1 Table
$\text{CP of 25 tables} = 5,39,000$
$\text{CP of 1 table} = \frac{5,39,000}{25}$
Let's divide:
$\text{CP of 1 table} = \mathbf{21,560}$