Question

The cost of manufacturing $x$ articles is $Rs.(50+3x)$. The selling price of $x$ articles is $Rs.4x$. On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against number of articles. Use your graph to determine:
The profit or loss made when (a) $30$ (b) $60$ articles are manufactured and sold.

Answer 1

a) $x=30$

$C.P=3\left(30\right)+50=140$

$S.P=4\left(30\right)=120$

$Loss=C.P-S.P=Rs.20$

b) $x=60$

$C.P=3\left(60\right)+50=230$

$S.P=4\left(60\right)=240$

$Gain=S.P-C.p=Rs.10$