Question

if a man want to sell his TV set for rupees 7200 he would have lost 25% for what price must he sell to gain 25%

Answer 1

Hello!

• Loss % = $\textbf{25\: \%}$
• S.P of the TV = $\textbf{Rs.\: 7200}$

Therefore,

C.P = S.P ($\dfrac{\sf 100}{\sf 100 - Loss}$)

⇒ C.P = 7200 x $\dfrac{\sf 100}{\sf 100-25}$

⇒ C.P. = 7200 x $\dfrac{\sf 100}{\sf 75}$

⇒ $\boxed{\sf C.P. = \sf Rs.\: 9600}$

$\textbf{Now}$ :

S.P. = C.P. ($\dfrac{\sf 100 + Profit}{\sf 100}$)

⇒ S.P. = 9600 x $\dfrac{\sf 100+25}{\sf 100}$

⇒ S.P. = 9600 x $\dfrac{\sf 125}{\sf 100}$

⇒ $\boxed{\sf S.P. = \sf Rs.\: 12000}$

Hence,
The price he should sell to gain 25% is $\underline{\sf Rs.\: 12000}$

Cheers!