2. By selling a T. v. for rupee 8000 a shopkeeperloses 20 percent of h

1.	2. By selling a T. v. for rupee 8000 a shopkeeperloses 20 percent of his cost. if he sells it for rupee 11000, what profit or loss wouldbe there for him.
Answer» $\large\bf\underline{Given:-}$ SELLING price = RS. 8000 Loss = 20% of his cost $\large\bf\underline {To \: find:-}$ if he sells it for rupee 11000, what profit or loss would be there for him. $\huge\bf\underline{Solution:-}$ Selling price of T.V = 8000 Loss% = 20 % $\large \star \tt \: C.P = \frac{100 \times \: S.P. }{100 - loss\%} \\$ $\dashrightarrow \tt \: C.P = \frac{100 \times 8000}{100 - 20} \\ \\ \dashrightarrow \tt \: C.P = \cancel \dfrac{800000}{80} \\ \\ \dashrightarrow \bf \: C.P = 10000$ According to question:- if he sells it for rupee 11000 then, S.P = 11000 C.P = 10000 Here, C.P < S.P = profit $\large \star \bf \: Profit = selling \: price - cost \: price$ ≫Profit = 10000 - 11000 ≫ Profit = Rs. 1000 he is having a profit of RS .1000 if he sells the T.V for Rupee 11000. $\large \star \bf \: Profit\% = \frac{Profit}{C.P}\times{100}$ Profit% = (1000/10000)× 100 Profit% = 10% $\rule{200}3$ $\boxed{ \begin{minipage}{9cm}\large \boxed{ \bf \:when S.P.\:is \:greater \:then \:C.P}\\ \\ \bf\:Profit =S.P - C.P \\Profit\% = (Profit) \times 100\\ \bf \: S.P = C.P + Gain\\C.P = S.P - Gain \\ \\To \: find \: S.P\: when \: C.P \: and \: profit \%\: are \: given : - \\ \\S.P = \frac{(100 + profit\%) \times \: C.P }{100} \\ \\ To \: find \:C.P \: when \: S.P\: and \: profit\% \: are \: given : - \\ \\ C.P = \frac{(100 \times \: S.P) }{100 + profit\%} \\ \end{minipage}}$

2. By selling a T. v. for rupee 8000 a shopkeeperloses 20 percent of his cost. if he sells it for rupee 11000, what profit or loss wouldbe there for him.

Answer»

$\large\bf\underline{Given:-}$

SELLING price = RS. 8000
Loss = 20% of his cost

$\large\bf\underline {To \: find:-}$

if he sells it for rupee 11000, what profit or loss would be there for him.

$\huge\bf\underline{Solution:-}$

Selling price of T.V = 8000
Loss% = 20 %

$\large \star \tt \: C.P = \frac{100 \times \: S.P. }{100 - loss\%} \\$

$\dashrightarrow \tt \: C.P = \frac{100 \times 8000}{100 - 20} \\ \\ \dashrightarrow \tt \: C.P = \cancel \dfrac{800000}{80} \\ \\ \dashrightarrow \bf \: C.P = 10000$

According to question:-

if he sells it for rupee 11000 then,

S.P = 11000
C.P = 10000

Here,

C.P < S.P = profit

$\large \star \bf \: Profit = selling \: price - cost \: price$

≫Profit = 10000 - 11000

≫ Profit = Rs. 1000

he is having a profit of RS .1000 if he sells the T.V for Rupee 11000.

$\large \star \bf \: Profit\% = \frac{Profit}{C.P}\times{100}$

Profit% = (1000/10000)× 100

Profit% = 10%

$\rule{200}3$

$\boxed{ \begin{minipage}{9cm}\large \boxed{ \bf \:when S.P.\:is \:greater \:then \:C.P}\\ \\ \bf\:Profit =S.P - C.P \\Profit\% = (Profit) \times 100\\ \bf \: S.P = C.P + Gain\\C.P = S.P - Gain \\ \\To \: find \: S.P\: when \: C.P \: and \: profit \%\: are \: given : - \\ \\S.P = \frac{(100 + profit\%) \times \: C.P }{100} \\ \\ To \: find \:C.P \: when \: S.P\: and \: profit\% \: are \: given : - \\ \\ C.P = \frac{(100 \times \: S.P) }{100 + profit\%} \\ \end{minipage}}$