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.

Answer 1

C.P of 16 dozen ball pens = S.P of 16 dozen pens - loss
C.P of $16\times 12\text{pens}=\text{S.P of 16 dozen pens}\times \text{S.P of 8 pens}$
C.P of 192 pens $=\text{S.P of}16\times 12pens\times \text{S.P of 8 pens}$
S.P of 192 pens + S.P of 8 pens
=S.P of 200 pens
(i) Let C.P of 1 pen = Re. 1
Then C.P of 192 pens = Rs. 192
and S.P of 200 pens = Rs. 192
$\therefore$ S.P of 1 pen $=Rs.\frac{192}{200}=Rs.\frac{24}{25}$
$\therefore$ Loss = C.P - S.P $=Re.1-Rs.\frac{24}{25}$
$=\frac{25-24}{25}=Rs.\frac{1}{25}$
$\therefore Loss\%=\frac{\frac{1}{25}\times 100}{C.P}=\frac{1\times 100}{25\times }=4\%$

(ii) C.P of 16 dozen pens = Rs. 576
$\therefore$ C.P of 1 dozen pens $=Rs.\frac{576}{16}$
$\therefore$ S.P of 1 dozen pens $=Rs.\frac{576}{16}\times \frac{100-4}{100}$
$=Rs.\frac{576}{16}\times \frac{96}{100}=Rs.\frac{576\times 6}{100}=\frac{3456}{100}=Rs.34.56$