A man buys eggs at 4.50per crate of 30 eggs.he finds that 20percent of the eggs are broken but sells the rest at GHc3.00 dozen. find his percentage profit to the nearest whole number
The total cost of buying the eggs is 4.50 GHC per crate. Since there are 30 eggs in a crate, the cost per egg is 4.50 GHC / 30 = 0.15 GHC per egg.
The man finds that 20% of the eggs are broken, so the number of broken eggs is 20% of 30 eggs = 0.2 * 30 = 6 eggs.
Therefore, the total cost of the broken eggs is 6 eggs * 0.15 GHC per egg = 0.9 GHC.
The man is left with 30 eggs - 6 eggs = 24 eggs that are not broken.
He sells these 24 eggs at 3 GHC per dozen.
Since a dozen has 12 eggs, he sells the 24 eggs as 24 / 12 = 2 dozens.
Therefore, he sells the 24 eggs for 2 * 3 GHC = 6 GHC.
His total revenue from selling the eggs is 6 GHC.
To calculate the profit, we subtract the total cost of buying the eggs from the revenue: 6 GHC - 4.50 GHC = 1.50 GHC.
The profit percentage can be calculated by dividing the profit by the cost and multiplying by 100:
Profit percentage = (1.50 GHC / 4.50 GHC) * 100 = 33.33.
Rounding this to the nearest whole number, the man's percentage profit is approximately 33%.