Question

By selling a TV for rupees 8000 shopkeeper loses 20% of his cost if he sells it for 11,000 what profit or loss would be there for him.

Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• If cost price is Rs. 8000 , lose = 20%

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Find profit % or loss % of SP = Rs. 11000

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{CP = \dfrac{SP}{100-loss\%}\times 100 }}}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ CP = \dfrac{ 8000}{100-20}\times 100}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ CP = \dfrac{ 8000}{80}\times 100}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ CP = \dfrac{ 800}{8}\times 100}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ CP = 100\times 100}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ CP = Rs. 10000}}$

⠀⠀⠀⠀

• COST PRICE < SELLING PRICE
• Therefore ; PROFIT

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{profit = SP - CP}}}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ profit = 11000 - 10000}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ Profit = Rs. 1000}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{Profit\% = \dfrac{profit}{CP}\times 100}}}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ profit\% = \dfrac{ 1000}{10000}\times 100}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ Profit\% = \dfrac{ 1 }{10}\times 100}}$

⠀⠀⠀⠀

$: \implies\: \sf{\bold{ Profit\% = 10\%}}$

⠀⠀⠀⠀

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• If SP is Rs. 11000 , the shopkeeper will earn the profit of 10%

Answer 2

Answer:

Rs 1000 profit

Step-by-step explanation:

cost price=100%

then selling price= 80%(100%-20%)

80%=8000

8000×100/80=10000

cost price=10000

selling price=11000

profit=1000(10%)