Question

2. By selling a T. v. for rupee 8000 a shopkeeper
loses 20 percent of his cost. if he sells it for rupee 11000, what profit or loss would
be there for him. ​

Answer 1

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

• 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%

$\rule{200}3$

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

Answer 2

$\sf{\underline{\large{\underline{\purple{Question:-}}}}}$

By selling a T. v. for rupee 8000 a shopkeeper

loses 20 percent of his cost. if he sells it for rupee 11000, what profit or loss would

be there for him.

$\sf{\underline{\large{\underline{\green{Given:-}}}}}$

• Selling price of T.V= ₹8000
• Shopkeeper loses = 20% on Cost

$\bf\large{\underbrace{Condition}}$

• if he sells it for= ₹ 11000
• what profit or loss would be there for him.

$\sf{\underline{\large{\underline{\red{Solution:-}}}}}$

• Let the cost price be = x

$\sf{\underline{\large{\underline{\blue{Therefore:-}}}}}$

$\sf→ 8000=\frac{x-20x}{100}\\\sf→8000= \frac{100x-20x}{100}\\\sf→ 8000= \frac{80x}{100}\sf→ x=\frac{8000×100}{80}\\\sf→x=\frac{800000}{80} \\\sf→ x= 10000.$

$\sf{\underline{\large{\underline{\red{Since,:-}}}}}$

• SP > CP

So,

we have profit = ₹11000-10000

profit =₹ 1000

$\sf{\underline{\large{\underline{\red{Hence,:-}}}}}$

$\sf→Profit\: percent = \frac{profit}{Cost \:price}×100\\\sf→ profit\: percent= \frac{1000}{10000}×100\\\sf→ profit\: percent= 10\: percent$

Profit = 10%