Question

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

Answer 1

Hint: In these types of questions remember the basic formulas of profit and loss for example (Gain = selling price – cost price) and use it to solve the question.

Complete Step-by-Step solution:
Cost price of 1 dozen = Rs.36
So the cost of 1 egg $ = $\[\dfrac{{36}}{{12}} = Rs.3\]
So the cost of 5 dozen eggs \[ = 36 \times 5 = Rs.180\]
Therefore the cost price of 5 dozen eggs =Rs.180
Since 5% of eggs are broken in 5 dozen $ = \dfrac{5}{{100}} \times 5 \times 12$
$ \Rightarrow $ 3 eggs are broken of total eggs
Total numbers of eggs = 60
Numbers of eggs are remaining to sell = 60 – 3= 57 eggs
Now he sold eggs Rs.48 per dozen
So the selling price of one egg $ = \dfrac{{48}}{{12}} = Rs.4$
Now the price of total eggs $ = 4 \times 57 = Rs.228$
So the selling price = Rs.228
So the total money gain by the man = 228 – 180 = Rs.48
Gain money = Rs.48

Note: In these types of questions find the cost of 1 egg to find the total cost price and then find out the broken eggs by finding the 5% of the total eggs and then find the selling price of 1 egg and using the price of 1 egg find the selling price of total eggs sold and find the total gain using formula (Selling price –cost price).