Question

$\mathfrak \pink{question}$
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How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20% ?

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=> need a correct answer

=> step by step answer needed ​

Answer 1

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

$\sf \small{Let\:the \: CP \: be \: ₹100}$

$\sf\small{Gain=20\% \: of \: CP=₹20}$

$\sf\small{SP=CP+Gain}$

$\sf \small{=₹100+₹20=₹120}$

$\sf\small{Given \: that \: discount=25\% }$

$\sf{Therefore,}$

$\sf\large{SP = \bigg(1 - \dfrac{d}{100}\bigg)×MP}$

$\sf\small{120 = \bigg(1 - \dfrac{25}{100} \bigg)\times\:MP}$

$\sf \small{120 = \bigg( \frac{3}{4} \bigg) \times\:MP}$

$\sf \small{MP = \dfrac{4}{ \cancel3}\times}{\cancel{120}} \: \: ^{40}$

$\sf\small{MP=4\times40}$

$\sf{MP=₹160}$

$\sf{Now,}$

$\sf\small{MP - CP = ₹160 - ₹100=₹60}$

$\sf\small{ =60\% \: of \: CP.}$

$\sf\underline{Hence, \: MP \: is \: 60\% \: above \: the \: CP.}$

$\rule{200pt}{2pt}$

$\sf\underline{Used\space Abbreviations}$

$\sf\small{CP=Cost\space Price}$

$\sf\small{SP=Selling\space Price}$

$\sf\small{d=Discount}$

$\sf\small{MP=Marked\space Price}$

$\rule{200pt}{2pt}$

$\sf\underline{Additional\space Information}$

$\space$

$\sf\small{Discount=MP-SP}$

$\sf\small{SP=MP-discount}$

$\sf\small{MP=SP+discount}$

${\underline{\rule{200pt}{4pt}}}$

Answer 2

Answer:

let c.p. = 100rs.

to gain 12%, s.p. = 112rs.

for allowing 20% discount , 80% of m.p. = s.p.

so, m.p. = 140rs.

so he should mark 40% above the cost price.

This is wrong answer.

Explanation:

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