Shabana bought 16 dozen ball pens and sold them at a loss equal to S.P

1.	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.
Answer» She bought 16 dozen ball pen Loss for 16 dozen pen = SP of 8 ball pen Let CP of each pen = Rs. x CP of 16 dozen ball pen = 16 ×12 × x = loss = 8 SP = 16 ×12 × x = 16×12× SP = 8 SP = 16 ×12 × x = 200 SP = SP = \(\frac{192}{200}x\) Loss% = \(\cfrac{x-\frac{192}{200}x}{x}\) = \(\frac{8}{2}\) = 4% If CP of 16 dozen ball pen = Rs. 576 = 16 ×12 × x = 576 = x = \(\frac{576}{16\times 12}\) Selling price of one pen = \(\frac{192}{200}x\) Selling price of dozen pen = 12 x \(\frac{192}{200}\) x \(\frac{576}{16\times 12}\) = Rs. 34.56

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.

Answer»

She bought 16 dozen ball pen

Loss for 16 dozen pen = SP of 8 ball pen

Let CP of each pen = Rs. x

CP of 16 dozen ball pen = 16 ×12 × x

= loss = 8 SP

= 16 ×12 × x = 16×12× SP = 8 SP

= 16 ×12 × x = 200 SP

= SP = \(\frac{192}{200}x\)

Loss% = \(\cfrac{x-\frac{192}{200}x}{x}\) = \(\frac{8}{2}\) = 4%

If CP of 16 dozen ball pen = Rs. 576

= 16 ×12 × x = 576

= x = \(\frac{576}{16\times 12}\)

Selling price of one pen = \(\frac{192}{200}x\)

Selling price of dozen pen = 12 x \(\frac{192}{200}\) x \(\frac{576}{16\times 12}\) = Rs. 34.56