Question

A manufacturer makes $750$ articles at a cost of $60$ paise per article. He fixes the selling prices such that if only $600$ articles are sold he would make a profit of $40$% on his outlay. Find his actual profit or loss per cent, if he could sell $630$ articles.

Answer 1

$\Rightarrow$ Cost price of $750$ articles at the cost of $60$ paise per article is $(750\times \frac{60}{100})=Rs.450$.

$\Rightarrow$ Required profit is $40\%$ of his outlay assuming that only $600$ articles are sold.

$\Rightarrow$ S.P. of $600$ article is,

$\Rightarrow$ $\frac{100+40}{100}\times Rs.450=Rs.630.$

$\Rightarrow$ S.P. of 1 article is Rs $\frac{630}{600}$,

$\Rightarrow$ He actually sells $630$ articles.

$\Rightarrow$ S.P. of $630$ article is,

$\Rightarrow$ $630\times \frac{630}{600}=Rs.661.50$

$\Rightarrow$ Actual profit is $Rs.661.50-Rs.450=Rs.211.50.$

$\Rightarrow$ $ActualProfit$$\%=\frac{Profit}{C.P.}\times 100\%$

$\Rightarrow$ $\frac{211.50}{450}\times 100\%=47\%$