Question

The cost price of an article is 64% of the maked price.
what is the gain percent if a discount of 12% is allowed?
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Answer 1

52 percentage is the answer

Answer 2

$Let \: the \: MP \: be \: x. \\ </p><p>Then, \: the \: CP \: will \: be \: \: \frac{64x}{100} = \frac{16x}{25}$

Now,

$SP = \frac{88x}{100} = \frac{22x}{25}$

$.°. \: \: \: Profit = \frac{22x}{25} - \frac{16x}{25} = \frac{6x}{25}$

Hence,

$Profit\% = \frac{profit}{cp} \times 100 = \frac{ \frac{6x}{25} }{ \frac{16x}{25} } \times 100 \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6x}{16x} \times 100 = \frac{6x \times 25}{4x} = \frac{150x}{4x} \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 37 \frac{2}{4}\% \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: 37.5\%$