Question

Usha 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 ) SP of dozen ball pens, it she purchased these 16 dozen ball pens for₹576​

Answer 1

Given, number of ball pens bought by Shabana is = 16 dozen = 16×12 = 192 pens

So, let’s consider the cost price of each pen as Rs x CP of 8 pens = Rs 8x

Let SP of one pen be = Rs x

So, SP of 192 pens = 192x

Given,

loss of 192 pens = SP of 8 ball pens

So, loss = 8SP 192x = (192+8) SP

SP = 192x/200

Loss = CP – SP = x – 192x/200

(i) Loss% = (loss/CP) × 100

= (x – 192x/200)/x × 100

= (200x-192x)/200x × 100

= 8/2 = 4%

(ii) Given,

CP of 16 dozen pens = Rs 576

192x = 576

x = 576/192

We know that SP of 1 pen = 192x/200

SP of dozen pens = 12 × 192x/200

= 12 × 192/200 × 576/192

= 12 × 576/200 = 34.56

∴ Loss% = 4% and SP of 1 dozen pens is Rs 34.56