Question

A computer is sold for Rs 16400 at a loss of 18%. Find the profit or loss percent if it was sold for Rs 21000​

Answer 1

$\mathfrak{Answer:}$

Profit = 5 %.

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

$\mathbb{IN\;FIRST\;CASE:}\\\\\\\bullet\quad\textbf{Selling\;Price\;of\;computer = Rs. 16400.}\\\\\\\bullet\quad\textbf{Loss = 18\%.}\\\\\\\bigstar\quad\textbf{We know that : \boxed{\bold{Cost\;Price=Sp\left(\dfrac{100}{100-loss\%}\right)}}}\\\\\\\tt{=16400\times\dfrac{100}{82}}\\\\\\\tt{=200\times 100}\\\\\\\tt{=Rs.20000.}$

$\mathbb{IN\;SECOND\;CASE:}\\\\\\\bullet\quad\textsf{Cost price of the computer = Rs. 20000.}\\\\\\\bullet\quad\textsf{Selling price of the computer = Rs.21000.}\\\\\\\bigstar\quad\textbf{We know that :\boxed{\bold{Gain=SP-CP}}}\\\\\\\tt{=21000-20000}\\\\\\\tt{=Rs.1000.}$

$\boxed{\bold{Gain\%=\dfrac{Gain\times 100}{CP}}}\\\\\\\tt{=\dfrac{1000\times 100}{20000}}\\\\\\\tt{=\dfrac{100}{20}=5\%.}$

Answer 2

$\underline{\bold{Given:}}$

● Selling price = Rs.16400

● Loss = 18%.

$\underline{\bold{To\:Find:}}$

Cost price.

$\bold{We\:know\:that}$

$\boxed{\bold{CP = \dfrac{100}{100 - L}\times SP}}$

$\bold{According\:To\:The\:Question}$

$\implies\bold{CP = \dfrac{100}{100 - 18}\times 16400}$

$\implies\bold{\dfrac{100}{82}\times 16400}$

$\implies\bold{\dfrac{100}{\cancel{82}}\times {\cancel{16400}}}$

$\implies\bold{100\times 200}$

$\implies\bold{20000}$

$\boxed{\bold{CP = Rs.20000}}$

$\bold{Another\:Case}$

CP = Rs.20000.

SP = Rs.21000.

Compare both Prices....

As we know that the Selling price is greater so there is profit....

$\bold{We\:know\:that}$

$\boxed{\bold{Profit = SP - CP}}$

$\implies\bold{Rs.21000 - Rs.20000}$

$\implies\bold{Rs.1000}$

$\boxed{\bold{Profit = Rs.1000}}$

Now , let calculate the profit percentage....

$\bold{We\:know\:that}$

$\boxed{\bold{Profit\:Percent = \dfrac{P}{CP}\times 100}}$

$\implies\bold{\dfrac{1000}{20000}\times 100}$

$\implies\bold{5\:percent}$

Therefore profit percent is 5%.