In making a television set, the cost for labour and materials are in the ratio of \(3: 2\). The manufacturer sells for N150 to make a gain of \(25 \%\) on his outlay. What is the cost of the material for the set?
A. N72 B. N36 C. N12 D. N48
Correct Answer: D
Explanation
Labour: material \(=3: 2\) Total ratio \(=3+2=5\) Using the formula \(\frac{C P}{100}=\frac{S P}{100 \pm x}\) \(x=\%\) loss or gain \(CP =\) Cost price, \(SP =\) Selling price If \(CP =\) ? \(SP = A 150, x =+25 \%\) \begin{aligned} &\therefore \frac{C P}{100}=\frac{150}{100+25} \\ &\frac{C P}{100}=\frac{150}{125} \\ &C P=\frac{15}{125} X 100=N 120 \end{aligned} Material \(=\frac{2}{5} X C P\) Material \(=\frac{2}{5} X 120=\) N
