John bought hundred eggs for Rs.40 out of these four eggs were found to be broken and he sold the remaining eggs at the rate of Rs.7.50 per dozen.find his gain or loss percent

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To find John's gain or loss percentage, we first need to calculate his cost price and selling price. Here's how we can do that step by step:

1. John bought 100 eggs for Rs.40. Since the cost price is given for 100 eggs, we can find the cost per egg by dividing the total cost by the total number of eggs:
Cost per egg = Rs.40 / 100 = Rs.0.40

2. Four eggs were found to be broken. So, the number of eggs available for sale is 100 - 4 = 96.

3. John sold the remaining eggs at the rate of Rs.7.50 per dozen. Since there are 12 eggs in a dozen, we first need to find the number of dozens in 96 eggs:
Number of dozens = 96 / 12 = 8

4. Now, we can find the selling price by multiplying the number of dozens by the selling price per dozen:
Selling price = 8 x Rs.7.50 = Rs.60

To calculate gain or loss percentage, we need to compare the selling price with the cost price:

- If the selling price is higher than the cost price, it indicates a gain.
- If the selling price is lower than the cost price, it indicates a loss.

Let's calculate the gain or loss percentage using the selling price and the cost price:

1. Gain or Loss = Selling price - Cost price
Gain or Loss = Rs.60 - Rs.40 = Rs.20

2. Gain or Loss Percentage = (Gain or Loss / Cost price) x 100
Gain or Loss Percentage = (Rs.20 / Rs.40) x 100 = 50%

Therefore, John has a gain of 50%.