Question

a washing machine was marked 40% above its cost price and a discount of 25% was given on it. find the gain or loss percent to the trader​

Answer 1

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Assumption

$\textbf{\underline{Cost\;Price\;of\;Article}}$

= 100n

$\textbf{\underline{Marked\;40\;Percent\;above\;its\;cost\;price}}$

${\boxed{\sf\:{Marked\;Price}}}$

$\tt{\rightarrow 100n+\dfrac{40}{100}\times 100n}$  

= 140n

$\textbf{\underline{Price\;and\;discount\;of\;25\;Percent}}$

Now,

Discount = 25℅

$\tt{\rightarrow\dfrac{25}{100}\times 140n}$

=  35n

$\textbf{\underline{Selling\;Price}}$

${\boxed{\sf\:{Marked\;Price-Discount}}}$

=  140n - 35n

= 105n

${\boxed{\sf\:{Gain}}}$

= 105n - 100n

= 5n

${\boxed{\sf\:{Gain\;Percentage}}}$

$\tt{\rightarrow\dfrac{5n}{100n}\times 100}$

= 5%

Answer 2

AnswEr :

⠀

Gain% on Washing Machine is 5%.

⠀

Explanation :

Let the CP of the Washing Machine be 100.

$\boxed{\bold{MP = CP + MP\% }}$

$\longrightarrow \bold{MP = 100 + 40 }$

$\longrightarrow \bold{MP =140 }$

━━━━━━━━━━━━━━━━━━━━━━━━

$\boxed{\bold{SP = MP \times \dfrac{(100 - d\%)}{100} }}$

$\longrightarrow \bold{SP = 140 \times \dfrac{(100 - 25\%)}{100} }$

$\longrightarrow \bold{SP = 140\times \dfrac{75}{100} }$

$\longrightarrow \bold{SP = 140\times \dfrac{3}{4} }$

$\longrightarrow \bold{SP = 35 \times 3}$

$\longrightarrow \bold{SP = 105}$

━━━━━━━━━━━━━━━━━━━━━━━━

⠀

➟ Gain% = $\bold{ \dfrac{SP - CP}{CP}\times100}$

➟ Gain% = $\bold{ \dfrac{105 - 100}{100}\times100}$

➟ Gain% = $\bold{ \dfrac{5}{\cancel{100}}\times\cancel{100}}$

➟ Gain% = 5%

⠀

$\large\therefore$ Gain% on Washing Machine is 5%.