Question

By selling 40 pens, a shopkeeper suffers a loss equal to the SP of 5 pens. find his loss percent.
please explain step by step
The answer should 91/9%.​

Answer 1

Answer:

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) x 100

=> loss% = 1/9 × 100

=> loss% = 100/9

=> loss% = 91/9

Therefore, the loss percentage of the shopkeeper iz 9 1/9.