Question

By selling an article for Rs 270, shopkeeper suffered a loss of 10%. Find the cost price of the article.

Also fins the SP of the article so that a profit of 10% is made​

Answer 1

Answer:

CP = Rs 300

and SP = Rs 330

I hope it would help

Answer 2

➤ Given :-

Selling price of the article :- ₹ 270

Loss percentage :- 10%

➤ To Find :-

• Cost price of the article.
• Selling price if 10% profit is made

➤ Formula required :-

Cost price :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{100}{(100 - Loss \bf\%)} \times Selling \: price}}}}$

Selling price :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{(100 + Profit \bf\%)}{100} \times Cost \: price}}}}$

➤ Solution :-

Cost price :-

${\tt \longrightarrow \dfrac{100}{(100 - 10)} \times 270}$

${\tt \longrightarrow \dfrac{100}{\cancel{90}} \times \cancel{270} = \dfrac{100}{1} \times 3}$

${\tt \longrightarrow 100 \times 3 = \boxed{\tt Rs \: \: 300}}$

Selling price :-

${\tt \longrightarrow \dfrac{(100 + 10)}{100} \times 270}$

${\tt \longrightarrow \dfrac{110}{100} \times 270}$

${\tt \longrightarrow \cancel \dfrac{110}{100} \times 270 = \dfrac{11}{10} \times 270}$

${\tt \longrightarrow \dfrac{11 \times 270}{10} = \dfrac{2970}{10}}$

${\tt \longrightarrow \cancel \dfrac{2970}{10} = \boxed{\tt Rs \: \: 297}}$

$\Huge\therefore$ The cost price of the article is ₹ 300 and the selling price of the same if 10% of profit is made is ₹ 297.

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$\dashrightarrow$ Some related formulas :-

Profit :- ${\boxed{\tt SP-CP}}$

Loss :- ${\boxed{\tt CP-SP}}$

Profit percentage :- ${\boxed{\tt\dfrac{Profit}{CP} \times 100}}$

Loss percentage :- ${\boxed{\tt\dfrac{Loss}{CP} \times 100}}$