SSC GD 2024 PYQ — Question 42

The correct answer is option 3 i.e. 22.22 percentage. 

the cost price of the article =  CP

After the 10% discount:

 the marked price is ( MP ), the selling price is ( 0.9MP ).

⇒ 0.9M = 1.1C

The profit in this case would be the difference between the selling price and the cost price, which is( MP - CP ).

Profit Percentage =  ( MP - CP) / (CP) × 100

From the equation ( 0.9MP = 1.1CP), solve for ( MP ):

MP = (1.1CP) / (0.9) = (11CP) / (9)

Profit Percentage = $\frac{\left(\frac{11CP}{9} - CP\right)}{CP} \times 100$

Profit Percentage = $\frac{\left(\frac{11CP}{9} - \frac{9CP}{9}\right)}{CP} \times 100 = \frac{\frac{2CP}{9}}{CP} \times 100 = \frac{2}{9} \times 100 \approx 22.22\%$

The profit percentage when no discount is given is 22.22%.