A person bought an article in Rs. 5400 and sold it at a loss of 30%.…

ATQ,

              (@ -30%)       (@ +50% on CP₂)

CP₁    :    SP₁ or CP₂   :           SP₂

100    :          70           :          105

Hence,

Final gain is = 105 - 100 = 5

Gain percentage = \(\frac{5}{100}\) × 100% = 5%

 

Alternate Method:

CP₁ = 5400                                                              

Loss = 30%                                                              

SP₁ = 5400 × \(\frac{70}{100}\) = 3780 

Now SP₁ =  CP₂ = 3780

Gain = 50%

SP₂ = 3780 × \(\frac{150}{100}\) = 5670

Overall gain = SP₂ - CP₁ = 5670 - 5400 = 270

Gain % = \(\frac{270}{5400}\) × 100% = 5%