the cost price of 30 egg is equal to the selling sell price of 20 eggs what is the percentage of profit
Answers
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 %
Answer:
The profit percentage is 50 %
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