Question

Find the cp when
sp=438.60,gain=2%



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Answer 1

Answer:

sp = cp( 1 +gain/100)

438.60 = cp x 1.02

cp = 430

Answer 2

$\underline{ \underline{\mathbb{ \red{SOLUTION \: \: }}}}$ ➡

$\bold{ \underline{Given \: : }} \\ \\ \: \bold{\: Selling \: \: price \: ,\: \: S.P.= Rs. \: 438.60} \\ \\ \bold{Gain = 2\%} \\ \\ \\ \bold{ \underline{To \: \: find \: : }} \: \: \bold{Cost \: \: price \: ,\: \: C.P.= ?}$

$\bold{We \: \: know \: \: that} \\ \\ \bold{C.P. = \frac{100}{100 + gain\%} \times S.P.} \\ \\ \bold{ \: \: \: \: \: \: = Rs. \: ( \frac{100}{100 + 2} \times 438.60)} \\ \\ \bold{ \: \: \: \: \: \: = Rs . \: (\frac{100}{102} \times 438.60)} \\ \\ \bold{ \: \: \: \: \: \: =Rs.\: (\frac{438.60}{102} )} \\ \\ \bold{ \: \: \: \: \: \: = Rs. \: 430}$

$\bold{Cost \: \: price \: \: of \: \: the \: \: article , \: C.P. = Rs. \: \: 430}$

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