Question

Shabana bought 16 dozen ball pens and sold them at a loss equal to S.P. of 8 ball pens.
Find
(i) her loss percent
(ii) S.P. of 1 dozen ball pens, if she purchased these 16 dozen ball pens for Rs 576

Please help me......​

Answer 1

Answer: (i) 4.167 % (ii) ₹36

Step-by-step explanation:

(i) Loss percent = Loss / Cost price x 100 %

Let the cost price and selling price be x (as the selling price has not been specified and it has to be taken as the selling price for the person from whom Shabana bought the pen, that is, the cost price for Shabana)

Loss percent = (8x / 16 x 12x) x 100 %   (x and x will get cancelled)

                      = (8 / 16 x 12) x 100 %

                      = 8 / 192 x 100 %

                      = 2/48 x 100 %             (divided by 4)

                      = 1/24 x 100 %              (divided by 2)

                      = 100/24 %      

                      = 25 / 6 %                     (divided by 4)

                      = 4.167 % (recurring decimal with actual value 4.16666666...   but we will round it up to 4.167)

Therefore, the loss percent is 4.167 %

(ii) Selling price for 16 dozen ball pens = ₹576

Selling price for 16 x 12 ball pens = ₹576

Selling price for 12 ball pens = ₹576/16

                                               = ₹36

Therefore, the S.P of one dozen ball pens = ₹36

Also, right Alt key + 4 on the top left side of the keyboard gives ₹ sign.