Question

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

Answer 1

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 \: \%= (Profit )/(Cost \: Price) * 100}}}`

`\dashrightarrow{{\sf{Profit \: \%= (2 )/(10) * 100}}}`

`\dashrightarrow{{\sf{Profit \: \%= (2 * 100 )/(10)}}}`

`\dashrightarrow{{\sf{Profit \: \%= (200 )/(10)}}}`

`\dashrightarrow{{\sf{Profit \: \% = \cancel(200 )/(10)}}}`

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

∴ The profit percent is 20%.