Question

1. by selling an article for ₹ 1200 , a trader losses 25% . find the cost price of the article.
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Answer 1

➤ Given :-

Selling price of an article :- ₹1200

Loss percentage :- 25%

➤ To Find :-

Cost price of an article

➤ Formula required :-

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

➤ Solution :-

Cost price :-

${\tt \longrightarrow \dfrac{100}{(100 - 25)} \times 1200}$

${\tt \longrightarrow \dfrac{100}{\cancel{75}} \times \cancel{1200} = \dfrac{100}{1} \times 16}$

${\tt \longrightarrow \dfrac{100 \times 16}{1} = \dfrac{1600}{1}}$

${\tt \longrightarrow \cancel \dfrac{1600}{1} = \boxed{\tt Rs \: \: 1600}}$

$\Huge\therefore$ The cost price of an article is ₹1600.

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

Selling price :- ${\boxed{\tt\dfrac{(100 + Profit \bf\%)}{100} \times CP}}$

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More to know :-

• Cost price is the amount at which the item is brought for.
• Selling price is the amount at which the item is sold for.
• Profit is obtained when the selling price is greater than the cost price.
• Loss is obtained when the cost price is greater than the selling price.