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John's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss?
Options:
A .  35%
B .  25%
C .  32%
D .  28%
Answer: Option B

Answer : Option B

Explanation :

Let John's initial salary = Rs.100

$MF#%\begin{align}
&\text{Then, after decreasing 50%, john's salary = }100 \times \dfrac{\left(100-50\right)}{100} = 100 \times \dfrac{50}{100} = \text{Rs.}50\\\\
&\text{After the increase by 50%, john's salary = }50 \times \dfrac{\left(100+50\right)}{100}= 50 \times \dfrac{150}{100} = \text{Rs.}75
\end{align} $MF#%

Actual loss = Rs.100 - Rs.75 = Rs.25

$MF#%\begin{align}
&\text{Loss percentage = }\dfrac{25}{100} \times 100 = 25\%
\end{align} $MF#%



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