Question

The cost of manufacturing of an article is made up of material, labour and overheads in the ratio $4:3:2.$ If the cost of labour is $Rs.45,$ find the total cost of the article.
Also, find the profit percent, if the article is sold for $Rs.180.$

• A. $33\frac{1}{3}\%$
• B. $50\%$
• C. $66\frac{1}{3}\%$
• D. none of these

Answer 1

The correct option is A $33\frac{1}{3}\%$

Let the cost of material, labour and overheads be $4x,3x,2x$ respectively.
Given, cost of labour $3x=45$
$=>x=15$
Let $PP$ be the total Cost price of the article

$P=(4x+3x+2x)=9x=9\times 15=Rs135$

Given Selling price of the article $=Rs180$

Now,

$Profit\%=\frac{S.P.-C.P.}{C.P.}\times 100=\frac{180-135}{135}\times 100=\frac{45}{135}\times 100=\frac{1}{3}\times 100=33\frac{1}{3}\%$

Hence option (A) is correct