On selling a chair at 5% loss and a table at 15% gain, a man gains ₹300. If he sells the chair at 5% gain and the table at 5% gain, then he gains ₹180. The actual cost of the table is:

Correct option is B

Given:

Selling a chair at 5% loss and a table at 15% gain results in a gain of ₹300.
Selling the chair at 5% gain and the table at 5% gain results in a gain of ₹180.

Let the cost price of the chair be C and the cost price of the table be T .

Formula Used:

Profit or Loss Amount = $$Cost Price × \frac{\text{Percentage}}{100}$$​​

Solution:

According to the first condition:

• Selling the chair at a 5% loss means a loss of 0.05C .
• Selling the table at a 15% gain means a gain of 0.15T .
• Total gain = ₹300.

-0.05C + 0.15T = 300   ..........Equation(1)

• Selling the chair at a 5% gain means a gain of 0.05C .
• Selling the table at a 5% gain means a gain of 0.05T .
• Total gain = ₹180.  

0.05C + 0.05T = 180  .......equation(2)

Simplify Equation 2 by dividing by 0.05:

C + T = 3600

Solve these two equations simultaneously:

Substitute C = 3600 - T into Equation 1.

Equation 1 becomes:

-0.05(3600 - T) + 0.15T = 300

−180 + 0.05T + 0.15T = 300

0.20T = 480

T = 2400

Substitute T = 2400 back into C + T = 3600:

C = 1200 

Then the actual cost of the table Rs.2400