Question

A cycle is bought for ruppes 4000 and sold for rupees 4800 find the gain? gain percent?​

Answer 1

$\sf\Large{\underline{\underline{Answer:-}}}$

${\underline{\underline{\sf{\blue{Given,}}}}}$

• Cost Price of cycle = ₹4000
• Selling Price of cycle = ₹4800

⠀

As, we can see Selling Price of cycle is greater than it's Cost Price, i.e. 4800 > 4000, So Profit is made.

⠀

|Here, we are finding gain|

$\begin{gathered}\\\;\sf{:\rightarrow\;\;gain\;=\;\bf{{sp - cp}\:}}\end{gathered}$

$\: \: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\;gain\;=\;\bf{{4800 - 4000}\:}}\end{gathered}$

$\: \: \: \: \: \: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\;gain\;=\;\bf{{₹800}\:}}\end{gathered}$

${\underline{\underline{\sf{\green{Hence,}}}}}$

Gain = ₹800

⠀

|Now finding gain%|

We know that,

$\large {\sf { \green{ \boxed{ \sf gain\% \ = \frac{gain }{cp} \times 100\%}}}}$

Substitute the values,

$\begin{gathered}\\\;\sf{:\rightarrow\;\; gain\%\;=\;\bf{\dfrac{800}{4000} \times 100\%\:}}\end{gathered}$

$\: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\; gain\%\;=\;\bf{\dfrac{80}{400} \times 100\%\:}}\end{gathered}$

$\: \: \: \: \: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\; gain\%\;=\;\bf{\dfrac{80}{4}\:}}\end{gathered}$

$\: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\; gain\%\;=\;\bf{{20}\%\:}}\end{gathered}$

${\underline{\underline{\sf{\pink{Hence,}}}}}$

Gain %= 20%

Answer 2

$\sf\Large{\underline{\underline{Answer:-}}}$

${\underline{\underline{\sf{\blue{Given,}}}}}$

Cost Price of cycle = ₹4000

Selling Price of cycle = ₹4800

⠀

As, we can see Selling Price of cycle is greater than it's Cost Price, i.e. 4800 > 4000, So Profit is made.

⠀

|Here, we are finding gain|

$\begin{gathered}\\\;\sf{:\rightarrow\;\;gain\;=\;\bf{{sp - cp}\:}}\end{gathered}$

$\: \: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\;gain\;=\;\bf{{4800 - 4000}\:}}\end{gathered}$

$\: \: \: \: \: \: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\;gain\;=\;\bf{{₹800}\:}}\end{gathered}$

${\underline{\underline{\sf{\green{Hence,}}}}}$

Gain = ₹800

⠀

|Now finding gain%|

We know that,

$\large {\sf { \green{ \boxed{ \sf gain\% \ = \frac{gain }{cp} \times 100\%}}}}$

Substitute the values,

$\begin{gathered}\\\;\sf{:\rightarrow\;\; gain\%\;=\;\bf{\dfrac{800}{4000} \times 100\%\:}}\end{gathered}$

$\: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\; gain\%\;=\;\bf{\dfrac{80}{400} \times 100\%\:}}\end{gathered}$

$\: \: \: \: \: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\; gain\%\;=\;\bf{\dfrac{80}{4}\:}}\end{gathered}$

$\: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\\\;\sf{:\rightarrow\;\; gain\%\;=\;\bf{{20}\%\:}}\end{gathered}$

${\underline{\underline{\sf{\pink{Hence,}}}}}$

Gain %= 20%