A dealer sells two dryers at the rate of ₹63,000 per dryer. On one, he earns a profit of 5% and on the other he loses 30%. What is his loss percentage in the whole transaction?

Correct option is D

Given:

Selling price (SP) of each dryer = ₹63,000

Profit percentage on one dryer (x) = 5%

Loss percentage on the other dryer (y) = 30%

Formula Used: 

For same Selling price of two article one at profit and other at loss

Overall Profit/Loss%  = $$\frac{[100(x - y) - 2(xy)]}{[200 + x - y]} \%$$​​

Where:

x is the profit percentage,

y is the loss percentage,

A positive result indicates a profit, while a negative result indicates a loss.

Solution:

Substituting the given values into the formula:

Overall Profit/Loss% = $$\frac{[100(5 - 30) - 2(5 \times 30)]}{[200 + 5 - 30]}$$​​

​$$= \frac{[100(-25) - 2(150)]}{[200 - 25]}$$​​

​$$= \frac{[-2500 - 300]}{175}$$​​

​$$= \frac{-2800}{175}$$​​

= -16%

The dealer's loss percentage in the whole transaction is 16% 

Alternate Solution: ​

Loss% = $$\frac{350 - 294 }{350} \times 100 = 16\%$$​​