SSC CHSL 2024 PYQ — Question 51

The correct answer is option 1 i.e. 25%.

Let Arun's salary be 100x.

According to the question;

Arun's salary is first reduced by 50%,

Arun's salary after reduction = $100x \times {50 \over 100}$ = 50x

Now, Arun's salary is increased by 50%,

Arun's salary after increement = $50x \times {150 \over 100}$ = 75x

Thr reduction in the overall salary = 100x - 75x = 25x

Required percentage = ${25x \over 100x} \times 100$ = 25%

Hence the percentage of salary he lost is 25%.