Question

Vikas sold a laptop at a profit of 20%. Had he sold it for Rs 1500 more, he would
have made a profit of 25%. Find the cost price of the laptop.​

Answer 1

$\huge\underline\bold\green{Question \: : }$

Vikas sold a laptop at a profit of 20%. Had he sold it for ₹1500 more, he would make a profit of 25%. Find the cost price of the laptop.

$\huge\pink{\sf\pmb{Solution : }}$

$\sf{{Let\: the\: CP}{ \: of\: the \: laptop \: be \: ₹x.}}$

$\sf{{ When\:profit \: = 20\%,}{ \: i.e.\:r = 20 ,\: SP = (1 + \frac{r}{100} ) \: \: CP = (1 + \frac{20}{100}) \times₹ x = ₹( \frac{6}{5} )x }}$

$\sf{{ When \: profit\: = \:25\%, }{ \:i.e. \: \: r \: = 25, \: \: SP \: = ₹( \frac{6}{5}x + 1500). }}$

$\sf{{ But\: SP\: = (1 + \frac{r}{100})CP. }{ \:So, \: ( \frac{6}{5 })x + 1500 = (1 + \frac{25}{100}) x \: \: \: or \: \: \: \: ( \frac{6}{5})x + 1500 = (\frac{5}{4})x }}$

$\sf{{ or \: \: \: \:( \frac{5}{4})x - ( \frac{6}{5} )x = 1500 \: }{ \: \: \: \: \: or \: \: \frac{x}{20} = 1500 }}$

$\sf{{ x = 20\: \times \:1500 = }{ \:30000 }}$

$\sf{{Hence, \:the \: CP \: of \: the}{ \: laptop \: was\:₹30000.}}$

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$\sf{{Hope \: my\: answer \: }{helps \: you..♡}}$