A man buys 5 dozen eggs at rupees 36 per dozen. Out of which 5% got broken. He sold the remaining eggs for rupees 48 per dozen. What was his total gain?

Given: 

Cost price of 5 dozen eggs = Rs. 36 per dozen

Out of 5 dozen eggs 5% got broken.

Selling price of remaining eggs = Rs. 48 per dozen

To find: Here we have to find the total gain of the man.

Solution:

Cost price of 1 dozen eggs = Rs. 36

Cost price of 5 dozen eggs = Rs. 36 $\times$ 5

Cost price of 5 dozen eggs = Rs. 180

Now,

Number of eggs in 1 dozen = 12

Number of eggs in 5 dozen = 12 $\times$ 5

Number of eggs in 5 dozen = 60

Out of 60 eggs 5% got broken:

5% of 60 eggs = $60\ \times \ \frac{5}{100}$

5% of 60 eggs = 3

So,

Remaining number of eggs = 60 - 3 = 57

12 eggs = 1 dozen

57 eggs = $\frac{57}{12}$ dozens

Selling price of 1 dozen eggs = Rs. 48

Selling price of $\frac{57}{12}$ dozen eggs = Rs. 48 $\times \ \frac{57}{12}$

Selling price of $\frac{57}{12}$ dozen eggs = Rs. 4 $\times $ 57

Selling price of $\frac{57}{12}$ dozen eggs = Rs. 228

We know that:

Gain = Selling price $-$ Cost price  

Gain = Rs. 228 $-$ 180

Gain = Rs. 48

So, the gain is Rs. 48.

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Updated on: 10-Oct-2022

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