A businesswoman bought 800 eggs at sh.4 each.If 25/4percent got broke and were thrown away , for how much should she sell each egg in order to make a profit of 50 percent?
Show me please.
cost = 800(4) = 3200
you want to make a profit of 50%, so
income = 3200(1.5) = 4800
but you are only selling (100 - 25/4)% or 93.75% of them
So you are selling 750 eggs
selling price of each egg = 4800/750 = 6.4
It would help if you would proofread your work before you post it.
What is "25/4percent"?
To find out how much the businesswoman should sell each egg for in order to make a profit of 50%, let's go through the steps:
Step 1: Calculate the total cost of the 800 eggs
The businesswoman bought 800 eggs at sh. 4 each, so the total cost of the eggs is:
800 * 4 = sh. 3200
Step 2: Calculate the number of eggs that got broke and thrown away
25/4 percent of the eggs got broken and were thrown away. To find the actual number of eggs, we need to calculate the percentage:
25/4 percent of 800 = (25/4) * (800/100) = 5 * 8 = 40
So, 40 eggs got broke and were thrown away.
Step 3: Calculate the total cost of the eggs that remained
The eggs that remained are 800 - 40 = 760.
So, the cost of the eggs that remained is:
760 * 4 = sh. 3040
Step 4: Calculate the desired selling price per egg to make a profit of 50%
Let's assume that the selling price per egg is x (in shillings).
To make a profit of 50%, the selling price should be 50% more than the cost price, which means:
Profit = 50% of the cost price
Profit = (50/100) * sh. 3040
Profit = sh. 1520
The total amount she should get from selling the eggs is the cost price plus the profit:
Total amount = sh. 3040 + sh. 1520 = sh. 4560
Since the businesswoman has 760 eggs, the selling price per egg would be:
x * 760 = sh. 4560
Dividing both sides by 760:
x = sh. 4560 / 760
Therefore, the businesswoman should sell each egg for sh. 6 in order to make a profit of 50%.