Question

Q). If the selling price of 10 mangoes is equal to the cost price of 12 mangoes, find the profit percentage.​

Answer 1

Step-by-step explanation:

Here :-

• Selling price of 10 mangoes is equal to the cost price of 12 mangoes

$\begin{gathered}\end{gathered}$

Let the cost price of one mango be ₹1. So :-

• Cost Price of 10 mangoes = ₹10
• Selling Price of 10 mangoes = ₹12

↝ Here the selling price of 10 mangoes is equal to the cost price of 12 mangoes. It means selling price of 10 mangoes = cost price of 12 mangoes. So, the selling price of 12 mangoes is ₹12 and the cost price of 10 mangoes is ₹10.

• Profit = S.P > C.P

$\begin{gathered}\end{gathered}$

Fistly, finding the profit :-

${\dashrightarrow\sf{Profit = Selling \: Price - Cost \: Price}}$

${\dashrightarrow\sf{Profit = 12 - 10}}$

${\dashrightarrow{\sf{\underline{\red{Profit = Rs.2}}}}}$

∴ The profitis Rs.2.

$\begin{gathered}\end{gathered}$

Now, finding the profit percentage :-

$\dashrightarrow{{\sf{Profit \: \%= \dfrac{Profit }{Cost \: Price} \times 100}}}$

$\dashrightarrow{{\sf{Profit \: \%= \dfrac{2 }{10} \times 100}}}$

$\dashrightarrow{{\sf{Profit \: \%= \dfrac{2 \times 100 }{10}}}}$

$\dashrightarrow{{\sf{Profit \: \%= \dfrac{200 }{10}}}}$

$\dashrightarrow{{\sf{Profit \: \% = \cancel\dfrac{200 }{10}}}}$

${\dashrightarrow{\sf{\underline{\red{Profit \: \% = 20 \: \%}}}}}$

∴ The profit percent is 20%.