Question

sold article for 480 and loss25% find cp​

Answer 1

$\huge{\mathbb{\red{ANSWER:-}}}$

Given :-

For an article -

$\sf{Selling \: price = 480 \: Rs}$

$\sf{loss = 25 \: \%}$

To Find :-

$\sf{Cost \: price \: of \: this \: article = ?}$

Using Formulas :-

$\sf{Loss = Cost \: price - Selling \: price}$

$\sf{loss\% = \dfrac{Loss}{Cost \: price}\times 100}$

Solution :-

$\sf{loss = C.P. - 480}$

$\sf{Now \: ,}$

$\sf{Loss\% =\dfrac{C.P - 480}{C.P.}\times 100}$

$\sf{25 =\dfrac{C.P. - 480}{C.P.}\times 100}$

$\sf{\dfrac{25}{100} =(1 - \dfrac{480}{C.P.})}$

$\sf{\dfrac{1}{4} = (1 - \dfrac{480}{C.P.})}$

$\sf{\dfrac{480}{C.P.} =(1 - \dfrac{1}{4})}$

$\sf{\dfrac{480}{C.P} =\dfrac{3}{4}}$

$\sf{\dfrac{C.P.}{480} =\dfrac{4}{3}}$

$\sf{C.P. =\dfrac{4}{3}\times 480}$

$\sf{Cost \: price = 4\times 160 = 640 \: Rs}$

As We got :-

$\sf{Cost \: price \: of \: this \: article \: is \: 640 \: Rs.}$

Extra Important Formulas :-

1)$\sf{Profit = Selling \: price - Cost \: price}$

2)$\sf{Profit\% =\dfrac{Profit}{Cost \: price}\times 100}$

Answer 2

Answer:

$\huge{\mathbb{\red{ANSWER:-}}}$

Given :-

For an article -

$\sf{Selling \: price = 480 \: Rs}$

$\sf{loss = 25 \: \%}$

To Find :-

$\sf{Cost \: price \: of \: this \: article = ?}$

Using Formulas :-

$\sf{Loss = Cost \: price - Selling \: price}$

$\sf{loss\% = \dfrac{Loss}{Cost \: price}\times 100}$

Solution :-

$\sf{loss = C.P. - 480}$

$\sf{Now \: ,}$

$\sf{Loss\% =\dfrac{C.P - 480}{C.P.}\times 100}$

$\sf{25 =\dfrac{C.P. - 480}{C.P.}\times 100}$

$\sf{\dfrac{25}{100} =(1 - \dfrac{480}{C.P.})}$

$\sf{\dfrac{1}{4} = (1 - \dfrac{480}{C.P.})}$

$\sf{\dfrac{480}{C.P.} =(1 - \dfrac{1}{4})}$

$\sf{\dfrac{480}{C.P} =\dfrac{3}{4}}$

$\sf{\dfrac{C.P.}{480} =\dfrac{4}{3}}$

$\sf{C.P. =\dfrac{4}{3}\times 480}$

$\sf{Cost \: price = 4\times 160 = 640 \: Rs}$

As We got :-

$\sf{Cost \: price \: of \: this \: article \: is \: 640 \: Rs.}$

$1)\sf{Profit = Selling \: price - Cost \: price}$

$2)\sf{Profit\% =\dfrac{Profit}{Cost \: price}\times 100}$

Step-by-step explanation:

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