Question

The cost price of 30 eggs is equal to the sale price of 20 eggs. What is the percentage of profit ?​

Answer 1

Answer:

cost prize:-30

sailing prize:-20

profit percentage:-10percent

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Answer 2

The cost price of 30 eggs is equal to the sale price of 20 eggs. The profit percentage is 50 %

Solution:

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

$3x = 2y\\\\y = \frac{3x}{2} ------ eqn 1$

Profit = Selling price - cost price

Profit = 30y - 30x

From eqn 1,

$profit = 30(\frac{3x}{2}) -30x\\\\profit = 45x - 30x\\\\profit = 15x$

The profit percentage is given as:

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

Thus profit percentage is 50 %

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