Question

a store is offering 18% discount for cash. calculate the cash price for a pants with a marked price of $170

Answer 1

$\large\underline{\sf{Solution-}}$

Given that,

Marked Price of an Article = $ 170

Discount % = 18 %

We know,

$\boxed{ \rm{ \:Selling \: Price = \dfrac{(100 - Discount\%) \times Marked \: Price}{100} \: }}$

So, on substituting the values, we get

$\rm \: Selling \: Price \: = \dfrac{(100 - 18) \times 170}{100}$

$\rm \: Selling \: Price \: = \dfrac{82 \times 170}{100}$

$\rm \: Selling \: Price \: = \dfrac{82 \times 17}{10}$

$\rm\implies \:\boxed{ \rm{ \:Selling \: Price \: = \: 139.4 \: }}$

Hence, the cash price of an Article after allowing a discount of 18 % is $ 139.4

$\rule{190pt}{2pt}$

Additional Information :-

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$

Answer 2

Answer:

Given :-

• A store is offering 18% discount for cash.

To Find :-

• What is the cash price for a pants with a marked price of $ 170.

Formula Used :-

$\bigstar \: \: \sf\boxed{\bold{\pink{S.P. =\: \dfrac{100 - D\%}{100} \times M.P.}}}\: \: \: \bigstar$

where,

• S.P. = Selling Price
• D = Discount
• M.P. = Marked Price

Solution :-

Given :

• Discount% = 18%
• Marked Price = $ 170

According to the question by using the formula we get,

$\implies \bf S.P. =\: \dfrac{100 - D\%}{100} \times M.P.$

$\implies \sf S.P. =\: \dfrac{100 - 18}{100} \times 170$

$\implies \sf S.P. =\: \dfrac{82}{100} \times 170$

$\implies \sf S.P. =\: \dfrac{82 \times 170}{100}$

$\implies \sf S.P. =\: \dfrac{1394\cancel{0}}{10\cancel{0}}$

$\implies \sf S.P. =\: \dfrac{1394}{10}$

$\implies \sf\bold{\red{S.P. =\: \ \: 139.4}}$

$\sf\bold{\purple{\underline{\therefore\: The\: cash\: price\: for\: a\: pants\: is\: \ \: 139.4\: .}}}$

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