Think logically not mathematically[part-3]

Let the price be 100 then
price after increasing=100+(50/100)X100=100+50=150
then decrease 50%=150-(50/100)X150=150-75=75
Thus there is loss

Let the price be x. First, let's raise x by 50%, $x\quad \times \quad 150percent\quad =\quad x\quad \times \quad \frac { 3 }{ 2 } \quad =\quad \frac { 3 }{ 2 } x$ then let's reduce it by 50%, $\frac { 3 }{ 2 } x\quad \times \quad 50percent\quad =\quad \frac { 3 }{ 2 } x\quad \times \quad \frac { 1 }{ 2 } \quad =\quad \frac { 3 }{ 4 } x$ Since $\frac { 3 }{ 4 } x\quad <\quad x$ , the answer is loss by 1/4 or 25%. I actually wanted to write % in the LaTeX, but i'm still quite new to it, it won't show up, so i wrote percent instead of %