A SELLER bought 120 eggs for #250. Out of these, 20 eggs got cracked and were sold at 50 each. The remaining eggs she later sold for #2.75 each. Find the percentage gain.
Well, it looks like the seller went through quite the egg-citing adventure! Let's break it down, shall we?
First, the seller bought 120 eggs for #250. That means the cost per egg was #2.08 (250 divided by 120).
Next, 20 eggs got cracked and were sold at #50 each. So the seller made 20 * 50 = #1000 from the cracked eggs.
The remaining eggs she sold for #2.75 each. The total number of remaining eggs is 120 - 20 = 100. So the seller made 100 * 2.75 = #275 from the remaining eggs.
Now, to calculate the total revenue, we add the amount from the cracked eggs (#1000) and the amount from the remaining eggs (#275), which gives us #1000 + #275 = #1275.
The percentage gain is calculated by subtracting the cost from the revenue, then dividing by the cost, and finally multiplying by 100.
So, the percentage gain is ((#1275 - #250) / #250) * 100 = 410%.
That's quite the egg-cellent profit, wouldn't you say? It's definitely egg-ceptional!
To find the percentage gain, we need to calculate the profit made by the seller and then express it as a percentage of the cost price.
Step 1: Calculate the cost price of the 120 eggs she purchased.
Cost Price of 120 eggs = #250
Step 2: Calculate the selling price of the cracked eggs.
Selling Price of 20 cracked eggs = 20 eggs x #50/egg = #1000
Step 3: Calculate the selling price of the remaining eggs.
Number of remaining eggs = 120 eggs - 20 cracked eggs = 100 eggs
Selling Price of 100 remaining eggs = 100 eggs x #2.75/egg = #275
Step 4: Calculate the total selling price.
Total Selling Price = Selling Price of cracked eggs + Selling Price of remaining eggs
Total Selling Price = #1000 + #275 = #1275
Step 5: Calculate the profit.
Profit = Total Selling Price - Cost Price
Profit = #1275 - #250 = #1025
Step 6: Calculate the percentage gain.
Percentage Gain = (Profit / Cost Price) x 100
Percentage Gain = (#1025 / #250) x 100
Percentage Gain = 410%
Therefore, the seller made a 410% gain on the eggs.
cost: 250
revenue: 20*.50 + 100*2.75 = 285
gain: 285-250 = 35
% gain = 35/250 = 0.14 = 14%
285/250 * 100% = 114%.
%gain = 114% - 100% = 14%.
To find the percentage gain, we need to calculate the total cost and the total selling price first.
1. Calculate the total cost:
The seller bought 120 eggs for #250. Therefore, the cost per egg is #250 / 120 = #2.08 per egg.
2. Calculate the total selling price of the cracked eggs:
20 eggs got cracked and were sold at #50 each. So, the total selling price of the cracked eggs is 20 * #50 = #1000.
3. Calculate the total selling price of the remaining eggs:
The seller sold the remaining eggs for #2.75 each. Since there were 120 eggs in total and 20 were cracked, there are 120 - 20 = 100 eggs left. The total selling price of the remaining eggs is 100 * #2.75 = #275.
4. Calculate the total selling price:
The total selling price is the sum of the selling price of the cracked eggs and the selling price of the remaining eggs. So, the total selling price is #1000 + #275 = #1275.
5. Calculate the gain:
The gain is the difference between the total selling price and the total cost. So, the gain is #1275 - #250 = #1025.
6. Calculate the percentage gain:
The percentage gain is calculated by dividing the gain by the total cost and multiplying by 100. So, the percentage gain is (#1025 / #250) * 100 = 410%.
Therefore, the percentage gain is 410%.