A woman bought 120 eggs for #3,000. 20 of the eggs got cracked. She sold the cracked eggs at #21 each and the rest at #30 each. Find her profit or loss percentage.
return = 20(21) + 100(30) = 3420
Since she spent 3000 to buy them and got back 3420 selling them .......
income ... (20 × #21) + [(120 - 20) × #30] = ?
profit/loss ... [(income - cost) / cost] × 100%
To find the woman's profit or loss percentage, we first need to calculate the total cost of the eggs and the total revenue she earned from selling them.
1. Total cost of the eggs:
The woman bought 120 eggs for #3,000.
So, the cost of each egg = #3,000 / 120 = #25 per egg.
2. Total revenue from selling the cracked eggs:
20 eggs got cracked, and she sold them at #21 each.
So, the revenue from selling the cracked eggs = 20 x #21 = #420.
3. Total revenue from selling the remaining uncracked eggs:
The remaining uncracked eggs will be 120 - 20 = 100 eggs.
She sold the uncracked eggs at #30 each.
So, the revenue from selling the uncracked eggs = 100 x #30 = #3,000.
4. Total revenue earned:
The total revenue earned from selling all the eggs = Revenue from selling cracked eggs + Revenue from selling uncracked eggs
= #420 + #3,000
= #3,420.
Now, we can calculate the profit or loss percentage.
5. Profit or loss:
Profit or loss = Total revenue earned - Total cost
= #3,420 - #3,000
= #420.
6. Profit or loss percentage:
Profit or loss percentage = (Profit or loss / Total cost) x 100
= (#420 / #3,000) x 100
Let's calculate the percentage:
= 0.14 x 100
= 14%.
Therefore, the woman's profit or loss percentage is 14%.
You are one key off, $ instead of #.
20($21) + 100($30) - $3000 = ?