a grocer bought 25 dozens of eggs for Rs 525. out of these, 18 eggs were found to be rotten. he sold the remaining eggs at the rate of Rs 26 per dozen. find his gain or loss percent.
16.38
cost price = 525
18 eggs = 1.5 dozen
selling price = 23.5(26) = ...
profit or loss = selling price - 525 = ....
percent profit = ....
16
Improve your maths where is the answer of this question
To find the gain or loss percentage, we first need to calculate the cost price and the selling price.
Given:
Number of dozens of eggs bought = 25
Cost of 25 dozens of eggs = Rs 525
Cost per dozen = cost of 25 dozens / Number of dozens = Rs 525 / 25
Cost per dozen = Rs 21
Now, we need to subtract the number of rotten eggs from the total number of eggs to find the number of good eggs remaining.
Total number of eggs = Number of dozens * Number of eggs per dozen = 25 * 12 = 300
Number of good eggs = Total number of eggs - Number of rotten eggs = 300 - 18 = 282
Next, we need to calculate the selling price of the good eggs.
Selling price per dozen = Rs 26
Selling price of 282 eggs = Selling price per dozen * Number of dozens = Rs 26 * (282 / 12)
Selling price = Rs (26 * 23.5) = Rs 611
Now, we can calculate the gain or loss percentage using the formula:
Gain or Loss Percentage = [(Selling price - Cost price) / Cost price] * 100
Gain or Loss Percentage = [(611 - 525) / 525] * 100
Gain or Loss Percentage = (86 / 525) * 100
Gain or Loss Percentage ≈ 16.38%
Therefore, the grocer has a gain of approximately 16.38%.