Question

Q). If the selling price of 25 balls is equal to the cost of 15 balls, find the profit or loss percentage.​

Answer 1

Explanation:

Here :-

• Selling price of 25 balls is equal to the Cost of 15 balls

`\begin{gathered}\end{gathered}`

Let the cost price of one ball is ₹1. So ;-

• Cost price of 25 balls = ₹25
• Cost price of 15 balls = ₹15

↝ Here the selling price of 25 balls is equal to the cost of 15 balls. It means C.P of 15 balls = S.P of 25 balls. So, the selling price of 25 balls is ₹15.

• Loss = C.P > S.P

`\begin{gathered}\end{gathered}`

Firstly, finding the loss :-

`{\dashrightarrow{\sf{Loss = Cost \: Price - Selling \: Price}}}`

`{\dashrightarrow{\sf{Loss = 25 - 15}}}`

`{\dashrightarrow{\sf{\underline{\red{Loss =Rs.10}}}}}`

∴ The loss is Rs.10.

`\begin{gathered}\end{gathered}`

Now, finding the loss percentage :-

`{\dashrightarrow{\sf{Loss\: \%= (Loss )/(Cost \: Price) * 100}}}`

`{\dashrightarrow{\sf{Loss\: \%= (10 )/(25) * 100}}}`

`{\dashrightarrow{\sf{Loss\: \%= (10 * 100 )/(25)}}}`

`{\dashrightarrow{\sf{Loss\: \%= (1000 )/(25)}}}`

`{\dashrightarrow{\sf{Loss\: \%=\cancel{(1000 )/(25)}}}}`

`{\dashrightarrow{\sf{\underline{\red{Loss\: \%=40 \: \%}}}}}`

∴ The loss percent is 40%.

`\underline{\rule{200pt}{2.5pt}}`