Question

A shopkeeper marked the price of his articles at 25% above the cost price. He sells half of his stock at this price and on the half of the rest he allows a discount of 10%, and on the rest he allows successive discounts of 10% and 10%. Find his profit percentage on the whole stock. pls explain step by step clearly ​

Answer 1

Answer:

$176\%$

Step-by-step explanation:

$\sf{mark \: price = \frac{125}{100} \times x = \frac{125x}{100} } \\ \\ \sf \maltese \: \: {sold \: half \: at \: \frac{125x}{100} = \frac{5x}{4} \: rs } \\ \\ \sf \maltese \: \: {other \: half = \frac{90}{100} \times \frac{5x}{4} = (\frac{9x}{8} \times \frac{10}{100} ) = \frac{9x}{8 } - \frac{9x}{80} } \\ = \frac{81x}{80}$

$total \: s.p = \frac{5x}{4} + \frac{81x}{80} = \frac{181x}{80}$

$c.p = \frac{125x}{100} \\ \\ p = \frac{181x}{80} - \frac{125x}{100} = \frac{880x}{400} = \frac{11x}{5} \\ \\ p\% = \frac{ \frac{11x}{5} }{ \frac{5x}{4} } \times 100= \frac{11x}{5} \times \frac{4}{5x} \times 100 = 176\%$

$\dag \sf \: \: \: \: {more \: than \: twice \: profit \: earned}$

• we have not taken the number of stocks because
• it is half half stock so combining value gives the whole value

hope you got it mark me brainliest