fatima bought 1200 eggs at rs.16 a dozen. At what price per hundred must she sell the eggs so as to earn a profit of 15%. plz its urgent very very urgent try to solve soon.....
his cost price = rs 16
so his selling price should be 1.15(16)
or rs 18.4 per dozen.
But you want the selling price per hundred
so :
18.4/12 = x/100
x = 100(18.4)/12 = 153.333...
(notice the fact that he bought 1200 eggs did not enter the calculation)
check:
cost price per dozen = 16
selling price per dozen = 18.4
percentage change = 18.4/16 = 1.15 ---> 15% increase
c.p of eggs per dozen=rs 16
s.p of eggs per dozen= c.p + profit
= rs 16 + 0.15*16
= rs 16 + 2.4
= rs 18.4
But you want the selling price per hundred
so :
18.4/12 = x/100
x = 100(18.4)/12 = 153.333...
To find the price per hundred at which Fatima must sell the eggs to earn a profit of 15%, we need to calculate the cost price of the eggs and the selling price required.
1. Calculate the cost price (CP) of 1200 eggs:
- The eggs were bought at Rs. 16 per dozen.
- Since there are 12 eggs in a dozen, the cost of 1 dozen eggs is Rs. 16.
- Therefore, the cost of 1200 eggs can be calculated as follows:
CP = (1200 eggs / 12 eggs per dozen) * Rs. 16 per dozen
CP = 100 dozen * Rs. 16 per dozen
CP = Rs. 1600
2. Calculate the selling price (SP) required to earn a profit of 15%:
- The profit percentage is 15%.
- The selling price is calculated as follows:
SP = CP + (15% of CP)
- Substitute the value of CP into the equation:
SP = Rs. 1600 + (15% of Rs. 1600)
SP = Rs. 1600 + 0.15 * Rs. 1600
SP = Rs. 1600 + Rs. 240
SP = Rs. 1840
3. Calculate the selling price per hundred:
- Since there are 1200 eggs, this is equivalent to 10 sets of 100 eggs.
- Therefore, to find the selling price per hundred eggs, divide the total selling price (SP) by 10:
Selling price per hundred = SP / 10
Selling price per hundred = Rs. 1840 / 10
Selling price per hundred = Rs. 184
Therefore, Fatima must sell the eggs at a price of Rs. 184 per hundred in order to earn a profit of 15%.
To find the selling price per hundred eggs, we need to first determine the cost price of each egg and then calculate the selling price with the desired profit margin.
Step 1: Calculate the cost price per egg:
We know that Fatima bought 1200 eggs at Rs. 16 a dozen.
So, the number of dozens she bought is 1200/12 = 100.
Therefore, the cost price per dozen is Rs. 16.
The cost price per egg can be calculated by dividing the cost price per dozen by 12: 16 / 12 = Rs. 1.33 (approx.)
Step 2: Determine the desired profit margin:
The desired profit margin is 15%.
So, the selling price per egg should be 115% of the cost price per egg. (100% + 15% = 115%)
Step 3: Calculate the selling price per hundred eggs:
To find the selling price per hundred eggs, we need to determine how many eggs are in one hundred.
Since there are 12 eggs in a dozen, there are 100/12 = 8.33 dozens in one hundred.
Approximating to the nearest dozen, we can consider one hundred eggs as 8 dozens.
Now, we need to calculate the selling price for 8 dozens:
Cost price for 8 dozens = 8 * Rs. 16 = Rs. 128
Selling price for 8 dozens = Cost price for 8 dozens + Profit
= Rs. 128 + (15% of Rs. 128)
= Rs. 128 + (0.15 * Rs. 128)
= Rs. 128 + Rs. 19.20
= Rs. 147.20
So, Fatima must sell the eggs at a price of Rs. 147.20 per hundred to earn a profit of 15%.