Question

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Answer 1

Answer:

Question :

↝ If the selling price of 10 mangoes is equal to the cost price of 12 mangoes, find the profit percent.

Solution :

⚘ 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%.

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Question :

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

Solution :

⚘ 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 :-

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

${\dashrightarrow{\sf{Loss\: \%= \dfrac{10 }{25} \times 100}}}$

${\dashrightarrow{\sf{Loss\: \%= \dfrac{10 \times 100 }{25}}}}$

${\dashrightarrow{\sf{Loss\: \%= \dfrac{1000 }{25}}}}$

${\dashrightarrow{\sf{Loss\: \%=\cancel{\dfrac{1000 }{25}}}}}$

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

∴ The loss percent is 40%.

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Learn More :

${\dashrightarrow{\underline{\boxed{\sf{\purple{P = SP - CP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{L = CP - SP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{P \% = \dfrac{P}{CP} \times 100}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{L \% = \dfrac{L}{CP} \times 100}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{SP = \frac{100 + P\%}{100} \times CP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{SP = \frac{100 - L\%}{100} \times CP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{CP = \frac{100}{100 + P \%} \times CP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{CP = \frac{100}{100 - L\%} \times CP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{Discount = MP - SP}}}}}}$

${\dashrightarrow{\underline{\boxed{\sf{\purple{SP = MP - Discount}}}}}}$

Where :-

• ➤ P = Profit
• ➤ L = Loss
• ➤ P% = Profit%
• ➤ L% = Loss%
• ➤ C.P = Cost Price
• ➤ S.P = Selling Price
• ➤ M.P = Marked Price

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