Question

how much per cent above the cost price should a shopkeeper mark his good so that after allowing a discount of 15% on the
mark price he found 8%?​

Answer 1

Answer:

let, CP=X

at 8% profit,

$if \: cp = 100 \: \: sp = 108 \\ if \: cp = 1 \: \: \: \: \: \: \: sp = \frac{108}{100} \\ if \: cp = x\: \: \: \: \: \: sp = \frac{108x}{100} = 1.08x$

at 15% discount,

$sp(15\% \: discount) \\ =1.08x + 15\% \: of \: 1.08x \\ = 1.08x + (0.15 \times 1.08x) \\ = 1.08x + 0.162x \\ = 1.242x$

so, amount increases by=1.242x-1.08x=0.162x

now,

$pecentage \: of \: the \: selling \: price = \frac{1.242x}{1.08x} \times 100\% = 1.15 \times 100\% = 115\%$

here the percentage is above 100% because he gained profit

hope this helps

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