Question

find the selling price of an item if cp is rupees 150 and profit earned is 10%.(cp=cost price).​

Answer 1

➤ Given :-

Cost price of an item :- ₹150

Profit percentage :- 10%

➤ To Find :-

Selling price of the item

➤ Formula required :-

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

➤ Solution :-

Cost price :-

${\tt \longrightarrow \dfrac{(100 + 10)}{100} \times 150}$

${\tt \longrightarrow \dfrac{110}{\cancel{100}} \times \cancel{150} = \dfrac{110}{2} \times 3}$

${\tt \longrightarrow \dfrac{110 \times 3}{2} = \dfrac{330}{2}}$

${\tt \longrightarrow \cancel \dfrac{330}{2} = \boxed{\tt rs \: \: 165}}$

$\Huge\therefore$ The cost price of an item is ₹165.

━━━━━━━━━━━━━━━━━━━━━━

$\dashrightarrow$ Some related formulas :-

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

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

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

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

Cost price(2) :-${\boxed{\tt\dfrac{(100 + Loss \bf\%)}{100} \times SP}}$

Selling price(1) :-${\boxed{\tt\dfrac{100}{(100 + Profit \bf\%} \times CP}}$

Selling price(2) :-${\boxed{\tt\dfrac{100}{(100 + Profit \bf\%)} \times CP}}$