Question

the cost price of 30 eggs is equal to the sale price of 20 eggs. what is the percentage of profit?





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Answer 1

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Percentage of profit is 50%

Answer 2

Answer:

Let the cost price of 1 egg be x

Then the cost price of 30 eggs = 30x

Let the selling price of one egg = y

Then the selling price of 20 eggs = 20y

Selling price of 30 eggs = 30y

Given that,

cost price of 30 eggs is equal to the sale price of 20 eggs

30x = 20y

\begin{gathered}3x = 2y\\\\y = \frac{3x}{2} ------ eqn 1\end{gathered}

3x=2y

y=

2

3x

−−−−−−eqn1

Profit = Selling price - cost price

Profit = 30y - 30x

From eqn 1,

\begin{gathered}profit = 30(\frac{3x}{2}) -30x\\\\profit = 45x - 30x\\\\profit = 15x\end{gathered}

profit=30(

2

3x

)−30x

profit=45x−30x

profit=15x

The profit percentage is given as:

\begin{gathered}Profit\ percentage = \frac{profit}{cost\ price} \times 100\\\\Profit\ percentage = \frac{15x}{30x} \times 100\\\\Profit\ percentage = 0.5 \times 100\\\\Profit\ percentage = 50 \%\end{gathered}

Profit percentage=

cost price

profit

×100

Profit percentage=

30x

15x

×100

Profit percentage=0.5×100

Profit percentage=50%

Thus profit percentage is 50 %

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Step-by-step explanation:

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