A grocer bought 25 dozen of eggs for Rs 525 .Out of these ,18 eggs were found to be rotten .He sold remaining eggs at the rate of Rs 26 per dozen .Find his gain or loss per cent
Income: (25*12-18) * 26/12 = 611
Profit: 611-525 = 86
% profit: 86/525 = 16.38%
To solve this problem, we need to calculate the cost price, selling price, and gain or loss percent.
1. Cost price:
The grocer bought 25 dozen of eggs for Rs 525. Therefore, the cost price per egg can be calculated as:
Cost price per dozen = Rs 525 / 25 = Rs 21
Cost price per egg = Rs 21 / 12 = Rs 1.75
2. Selling price:
The grocer sold the remaining eggs at the rate of Rs 26 per dozen. Therefore, the selling price per egg can be calculated as:
Selling price per dozen = Rs 26
Selling price per egg = Rs 26 / 12 = Rs 2.17 (approximately)
3. Number of eggs sold:
Total eggs bought = 25 dozen
Rotten eggs = 18
Remaining eggs sold = Total eggs bought - Rotten eggs = 25 x 12 - 18 = 300 (eggs)
4. Gain or loss:
Total cost price = Cost price per egg x Number of eggs sold = Rs 1.75 x 300 = Rs 525
Total selling price = Selling price per egg x Number of eggs sold = Rs 2.17 x 300 = Rs 651
The gain or loss can be calculated as:
Gain = Total selling price - Total cost price = Rs 651 - Rs 525 = Rs 126
Loss or gain percent can be calculated as:
Loss or gain percent = (Gain or loss / Total cost price) x 100
Loss or gain percent = (126 / 525) x 100 ≈ 24%
Therefore, the grocer has a gain of 24% in selling the remaining eggs.
To find the gain or loss percentage, we first need to calculate the cost price and the selling price.
1. Cost Price (CP):
The grocer bought 25 dozen eggs for Rs 525. Since a dozen consists of 12 eggs, the grocer bought a total of 25 x 12 = 300 eggs.
But, 18 out of these 300 eggs were rotten. So, the number of good eggs is 300 - 18 = 282.
Since the cost of buying all the eggs is given as Rs 525, the cost price per good egg is 525 / 282 = Rs 1.86 (rounded to two decimal places).
2. Selling Price (SP):
The grocer sold the remaining eggs at the rate of Rs 26 per dozen. Since a dozen consists of 12 eggs, the selling price per egg is 26 / 12 = Rs 2.17 (rounded to two decimal places).
Now, let's calculate the gain or loss percentage using the formula:
Gain or Loss % = ((SP - CP) / CP) * 100
Substituting the values:
Gain or Loss % = ((2.17 - 1.86) / 1.86) * 100
= (0.31 / 1.86) * 100
= 0.1667 * 100
= 16.67%
Therefore, the grocer had a gain of 16.67%.
25doz * 12 = 300 eggs bought.
$525/300 = $1.75/egg
Loss = 1.75/egg * 18 = $31.50
Cost = $26/doz * 25 = $650
%Loss = 31.50/650 * 100% = 4.8