By selling 40 pens, a shopkeeper suffers a loss equal to the SP of 5 pens. find his loss percent.
I want explanation please explain step by step.
The answer should 91/9%.
Answers
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Given :-
By selling 40 pens, a shopkeeper suffers a loss equal to the SP of 5 pens.
To find :-
The loss percentage of the shopkeeper .
Solution :-
Let the Selling Price of a pen be Rs. X
The Selling Price of 40 pens = Rs. 40X
Given that
The Loss = The Selling Price of 5 pens = Rs.5X
We know that
Loss = Cost Price - Selling Price
=> 5X = Cost Price - 40 X
=> Cost Price = 5X+40X
=> Cost Price = Rs. 45X
Now,
We know that
Loss Percentage = (Loss/CP)×100
=> L% = (5X/45X)×100
=> L% = (1/9)×100
=> L% = 100/9
=> L% = 9 1/9 or 9.11
Answer :-
The Loss percentage of the shopkeeper is 100/9% or 9 1/9 % or 9.11%
Used formulae:-
★ Loss = Cost Price - Selling Price
★Loss Percentage = (Loss/CP)×100
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