A trader purchased 10 dozen eggs at 300 naira per dozen. On getting to his shop, he found that 20 eggs were broken. How much did he sell the remaining eggs if he made a pro fit of 10%?
Well if
1dozen of egg is sold for $300
Then 10 dozen would cost =300×10=$3000
For the whole of the her purchase she made a profit of 10%
10/100=(sp-3000)/3000
300=sp-3000
Sp=$3300
20 out of the 10 dozen of egg are bad how much was she selling?
1dozen of egg=12egg
10dozen=120egg
Remaining eggs=120-20=100egg
If 100eggs are sold for 3300
1egg would be sold for 3300/100=$33
To find out how much the trader sold the remaining eggs for, we need to calculate a few steps.
Step 1: Calculate the total cost of the eggs
The trader purchased 10 dozen eggs at 300 naira per dozen.
10 dozen eggs = 10 * 12 = 120 eggs.
The cost of the eggs would be 300 naira per dozen * 10 dozen = 3000 naira.
Step 2: Calculate the number of remaining eggs
If 20 eggs were broken, then the number of remaining eggs would be 120 eggs - 20 eggs = 100 eggs.
Step 3: Calculate the selling price per egg to achieve a 10% profit
To make a 10% profit, the selling price should be 100% + 10% = 110% of the cost price.
Therefore, the selling price per egg would be 110% of the cost price.
Selling price per egg = (110 / 100) * (total cost of eggs / number of remaining eggs)
Selling price per egg = (110 / 100) * (3000 naira / 100 eggs)
Selling price per egg = 33 naira.
Step 4: Calculate the total selling price of the remaining eggs
To find out how much the trader sold the remaining eggs for, we need to multiply the selling price per egg by the number of remaining eggs.
Total selling price = Selling price per egg * Number of remaining eggs
Total selling price = 33 naira * 100 eggs = 3300 naira.
Therefore, the trader sold the remaining eggs for 3300 naira.
To find out how much the trader sold the remaining eggs for, we need to calculate the total cost of the eggs he purchased, and then determine the selling price with a 10% profit margin.
First, let's calculate the cost of the eggs purchased:
The trader bought 10 dozen eggs at 300 naira per dozen.
So, the cost of 10 dozen eggs is 10 x 300 = 3000 naira.
Next, let's determine the number of eggs remaining after deducting the broken eggs:
A dozen contains 12 eggs, so 10 dozen eggs equal 10 x 12 = 120 eggs.
Since 20 eggs were broken, there are 120 - 20 = 100 eggs remaining.
Now, let's calculate the selling price to make a 10% profit:
To make a 10% profit on the cost price, the selling price should be 110% of the cost price.
To find the selling price per egg, we divide the total cost by the number of eggs remaining:
Selling price per egg = (Cost price + Profit) / Number of eggs remaining
Selling price per egg = (3000 + 10% of 3000) / 100
Selling price per egg = (3000 + 300) / 100
Selling price per egg = 3300 / 100
Selling price per egg = 33 naira
Finally, we can determine the selling price of the remaining eggs:
Selling price of remaining eggs = Selling price per egg x Number of eggs remaining
Selling price of remaining eggs = 33 x 100
Selling price of remaining eggs = 3300 naira
Thus, the trader sold the remaining eggs for 3300 naira, making a 10% profit.