SSC GD 2021 PYQ — Question 54

The correct answer is option 2 i.e.12.5% 

Let the Cost price (CP) = Rs. 100

Article sold at 19% loss i.e. SP = Rs. 81

$\dfrac{Original SP}{Reduced SP}$ = 1/$\dfrac{18}{25}$= $\dfrac{25}{18}$

Reduced SP of 1 unit = Rs. 81

Reduced SP of $\dfrac{25}{18}$ units = $\dfrac{25}{18}$ × 81 = Rs. $\dfrac{225}{2}$= 112.5

Profit = SP - CP 

= 112.5 - 100

= 12.5

Profit% = $\dfrac{Profit}{CP} × 100$

= $\dfrac{12.5}{100} × 100$

= 12.5