Question

36. Arnav bought a toy for Rs. 500 and sold it for Rs. 550. Find his
profit percentage.
>​

Answer 1

$\large\sf\underline{Given\::}$

• Cost price ( CP ) of a toy = Rs 500

• Selling Price ( SP ) of a toy = Rs 550

‎

$\large\sf\underline{To\:find\::}$

• Profit Percentage = ??

‎

$\large\sf\underline{Solution\::}$

We know ,

$\small{\underline{\boxed{\mathrm\purple{Profit\: Percentage\:=\:\frac{Profit}{Cost\:Price} \times 100}}}}$

So for calculating Profit Percentage we need profit first , let's calculate the profit first .

${\sf{{\pink{Profit\:=SP\:-\:CP}}}}$

• Let's substitute the given value in the profit formula

$\sf\implies\:Profit\:=\:Rs\:(550-500)$

$\small{\mathfrak\red{\implies\:Profit\:=\:Rs\:50}}$

‎

Now let's substitute the value of Profit and Cost Price in Profit Percentage formula :

$\sf\:Profit\: Percentage\:=\frac{50}{500} \times 100$

$\sf\implies\:Profit\: Percentage\:=\frac{5000}{500}$

$\sf\implies\:Profit\: Percentage\:=\frac{50\cancel{00}}{5\cancel{00}}$

$\sf\implies\:Profit\: Percentage\:=\frac{50}{5}$

$\sf\implies\:Profit\: Percentage\:=\cancel{\frac{50}{5}}$

$\small{\mathfrak\red{\implies\:Profit\: Percentage\:=\:10\: percent}}$

‎

!! Hope it helps !!