Question

By selling a car for rs 34000 a man loses 15% if he sells the same car for rs 44000 find his profit percentage

Answer 1

$\mathfrak{Answer:}$

Profit = 10 %.

$\mathfrak{Step-by-Step\;Explanation:}$

$\mathbb{IN\;FIRST\;CASE:}\\\\\\\bullet\quad\textbf{Selling\;Price\;of\;car = Rs. 34000.}\\\\\\\bullet\quad\textbf{Loss = 15\%.}\\\\\\\bigstar\quad\textbf{We know that : \boxed{\bold{Cost\;Price=Sp\left(\dfrac{100}{100-loss\%}\right)}}}\\\\\\\tt{=34000\times\dfrac{100}{85}}\\\\\\\tt{=400\times 100}\\\\\\\tt{=Rs.40000.}$

$\mathbb{IN\;SECOND\;CASE:}\\\\\\\bullet\quad\textsf{Cost price of the car = Rs. 40000.}\\\\\\\bullet\quad\textsf{Selling price of the car = Rs.44000.}\\\\\\\bigstar\quad\textbf{We know that :\boxed{\bold{Gain=SP-CP}}}\\\\\\\tt{=44000-40000}\\\\\\\tt{=Rs.4000.}$

$\boxed{\bold{Gain\%=\dfrac{Gain\times 100}{CP}}}\\\\\\\tt{=\dfrac{4000\times 100}{40000}}\\\\\\\tt{=10\%.}$