Question

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

Answer 1

Percentage of profit is 50%

Question: The cost price of 30 eggs is equal to the selling price of 20 eggs. What is the percentage profit?

Solution:

Let the cost price of one egg is Rs. x

Then the cost price of 30 eggs is Rs. 30x

Let the selling price of one egg is Rs. y

Then the selling price of 20 eggs is Rs. 20y

and the selling price of 30 eggs is Rs. 30y

By the given condition,

30x = 20y

or, 3x = 2y

or, y = 3x/2 ..... (1)

Now, profit = Rs. (30y - 30x)

= Rs. {30 (3x/2) - 30x}, by (1)

= Rs. (45x - 30x)

= Rs. 15x

∴ profit% is = profit/cost price * 100%

= 15x/(30x) * 100%

= 50%

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