A shopkeeper buys eggs for ruppee 15 a dozen and sell them at 7 for ruppee 4. Find the gain or loss percent.
Answers
Step-by-step explanation:
Given :-
A shopkeeper buys eggs for rupee 15 a dozen and sell them at 7 for ruppee 4.
To find :-
Find the gain or loss percent.
Solution :-
Given that :
The cost price of a dozen eggs = Rs. 15
Selling Price of 7 eggs = Rs. 4
Selling Price of 1 egg = Rs. 4/7
Selling Price of a dozen eggs
= 12×(4/7)
= (12×4)/7
= 48/7
Selling Price of a dozen eggs = Rs. 48/7
Selling Price < Cost Price
He gets loss
Loss = Cost Price - Selling Price
=> Loss = 15-(48/7)
=> Loss = [(15×7)-48]/7
=> Loss = (105-48)/7
=> Loss = Rs. 57/7
We know that
Loss % = (Loss/Cost Price)×100
=> Loss % = [(57/7)/15]×100
=> Loss % = [57/(7×15)]×100
=> Loss % = (57/105)×100
=> Loss % = (57×100)/105
=> Loss% = 5700/105
=> Loss % = 54.2857...
=>Loss % = 54.29 %
Answer:-
The shopkeeper gets Rs. 57/7 = Rs. 8.14
The loss percentage for the given problem is 54.29%
Used formulae:-
- Loss = Cost Price - Selling Price
- Loss % = (Loss/Cost Price)×100