Question

the selling price of 10 pencils is equal to the cost price of 11 pencils . what is the profit percent​

Answer 1

let prize of each pencil=x

selling prize of ten pencil=11x

prize of ten pencil=10x

℅peofit=11x-10x/10x × 100

=10%

Answer 2

Answer :

10 %

$\sf\underline{Step-by-step \: explanation}$

Let the CP of each pencil be Rs. 1

CP of a packet of 11 pencils = Rs. 11

CP of 10 pens in the new packet = Rs. 10

[Only 10 pencils are being sold in the new packet]

Profit on Rs. 10 = Rs. 1

Profit % =

$\frac{1}{10} \: \times \: 100$

After Cancellation...

Hence, the profit gained is 10 %

Solving it by x method,

Let the CP of each pencil be x

Then, the CP of 11 pencils = 11x

CP of 10 pencils = 10 x

SP of 10 pencils = 11x

Profit on 10x = x

Profit % =

$\tt\dfrac{x \times 100}{10x}$

After Cancellation...

10 %

[10x ÷ x = 10]