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
Solution :-
It's given that a shopkeeper suffers a loss which is equal to the SP of 5 pens. And we have to find the loss percentage.
- SP of 5 pens = 5x
- Let the SP of a pen be x
- So, the SP of 40 pens be 40x
We also know that the loss was equal to SP of 5 pens = 5x
★ Loss = CP - SP
=>5x = CP - 40x
=> CP = 40x + 5x
=> CP = 45x
We also know that,
★ Loss% = ( loss/CP ) × 100
=> loss% = ( 5x/45x ) × 100
=> loss% = 1/9 × 100
=> loss% = 100/9
=> loss% = 9 1/9
Therefore, the loss percentage of the shopkeeper iz 9 1/9.
Answer:
Let the selling price of 1 pen = 1 rupee.
Given that there are 40 pens.
Then the selling price of 40 pens = 40 rupees.
Given that he suffers a loss = 5 pens.
We know that Loss = CP - SP
5 = CP - 40
CP = 40 + 5
CP = 45.
We know that Loss% = Loss/CP * 100
= 4/45 * 100
= 8.88%.