a man bought 360 eggs at rs 12 per dozen. 60 eggs were broken and 30 were rotten. find his profit and loss percent . if he sells the rest of the eggs at rs 15 per dozen.
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To find the profit or loss percent, we need to calculate the cost price (CP) and the selling price (SP) of the eggs.
Given:
- Number of eggs bought: 360 eggs
- Cost of 1 dozen eggs: Rs 12
- Broken eggs: 60 eggs
- Rotten eggs: 30 eggs
- Selling price of 1 dozen eggs: Rs 15
First, let's calculate the number of dozens of eggs bought:
Number of dozens = Total eggs / 12
Number of dozens = 360 eggs / 12 = 30 dozens
Next, let's calculate the cost price (CP) of the eggs:
CP = Cost of 1 dozen * Number of dozens
CP = Rs 12/dozen * 30 dozens
CP = Rs 360
Now, let's calculate the number of eggs remaining:
Eggs remaining = Total eggs - Broken eggs - Rotten eggs
Eggs remaining = 360 eggs - 60 eggs - 30 eggs
Eggs remaining = 270 eggs
Since selling price is given per dozen, we need to convert the remaining eggs to dozens:
Number of remaining dozens = Eggs remaining / 12
Number of remaining dozens = 270 eggs / 12
Number of remaining dozens = 22.5 dozens (Considering half dozen eggs cannot be sold)
To find the selling price (SP) of the remaining eggs:
SP = Selling price of 1 dozen * Number of remaining dozens
SP = Rs 15/dozen * 22.5 dozens
SP = Rs 337.5
Profit/Loss = SP - CP
Profit/Loss = Rs 337.5 - Rs 360
Profit/Loss = -Rs 22.5 (Loss of Rs 22.5)
Now, let's calculate the profit/loss percentage:
Profit/Loss percentage = (Profit/Loss / CP) * 100
Profit/Loss percentage = (-22.5 / 360) * 100
Profit/Loss percentage = -6.25%
Therefore, the man incurred a loss of 6.25%.