Question

an article soild for rs 1792 at a profit of 12% find it coast price ( step by step) ​

Answer 1

➤ Correct Question :-

An article is sold for ₹ 1792 at a profit of 12%. Find it's cost price.

➤ Given :-

Cost price :- ₹ 1792

Profit percentage :- 12%

➤ To Find :-

Cost price of the article

➤ Formula required :-

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

➤ Solution :-

Cost price :-

${\tt \longrightarrow \dfrac{100}{(100 + 12)} \times 1792}$

${\tt \longrightarrow \dfrac{100}{ \cancel{112}} \times \cancel{1792} = \dfrac{100}{1} \times 16}$

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

$\Huge\therefore$ The cost price of the 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 :- ${\boxed{\tt\dfrac{Loss}{CP} \times 100}}$

Answer 2

Correct Question:-

1. An article is sold for ₹ 1792 at a profit of 12%. Find it's cost price.

To find:-

• The cost Price if the article

Given that,

• Selling price = Rs 1792
• Profit Percentage

Solution:-

→ $\dfrac{(100+12)}{100}×1792$

→ $\dfrac{100}{112} \times 1792$

→ 100 × 16

$\rm {\fbox{\pink{= Rs.1600}}}$

Required answer:-

• Rs.1600 is the Cost price of the article

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