An article cost Rs $80$ to the vendor. If he marks the article for $50$ $%$ more than the cost price and sells it $25$ $%$ less than the marked price. What is his gain percentage ?

25

%

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\frac{84}{4}

%

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\frac{25}{2}

%

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\frac{31}{2}

%

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Solution

The correct option is D $\frac{25}{2}$ $%$
Given that C.P. $= 80$

$∴, M . P . = 80 + 50 % o f 80 = 80 + 40 = R s 120$
According to the given condition,
$S . P . = 120 - 25 % o f 120 = 120 - 30 = R s 90$
$G a i n = 90 - 80 = R s 10$
$% g a i n = \frac{g a i n}{C . P .} \times 100 = \frac{(10 \times 100)}{80} = \frac{25}{2} %$

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An article cost Rs 80 to the vendor. If he marks the article for 50 % more than the cost price and sells it 25 % less than the marked price. What is his gain percentage ?

The correct option is D 252 %Given that C.P. =80∴,M.P.=80+50% of 80=80+40=Rs 120According to the given condition,S.P.=120−25% of 120=120−30=Rs 90Gain=90−80=Rs 10% gain=gainC.P.×100=(10×100)80=252%

An article cost Rs $80$ to the vendor. If he marks the article for $50$ $%$ more than the cost price and sells it $25$ $%$ less than the marked price. What is his gain percentage ?