Math, asked by tokaians, 1 year ago

The cost of manufacture of an article is made up of materials,labour and overheads in the ratio 4:3:2.If the cost of labour is Rs45,find the total cost of the article.Find the profit percent,if the article is sold for Rs.180
Please answer fast.

Answers

Answered by rational
6
Say the total cost is C
Since the labour cost is 45, using the given ratio of split up of costs we have 
\dfrac{3}{4+3+2}*C=45\implies C=135

Profit % = \dfrac{180-135}{135}\times100 = 33.33\%

tokaians: ur profit% is wrong
rational: Ahh possible.. what percent are you getting ?
tokaians: its in fraction
tokaians: i did not get the 1st part
rational: thanks for the catch :) fixed it.. please see if it looks okay now...
tokaians: yes!
tokaians: but in the 1st part there's some cofusion
tokaians: sorry confusion
rational: Ohk.. the labour factor is "3" in the total costs, so 3/(4+3+2)*C gives the cost of labour. similarly 4/(4+3+2)*C gives the cost of material and 2/(4+3+2) gives the cost of overheads
Answered by kvnmurty
4
cost of manufacture =  M
cost of Labour = L
cost of overheads = H
  M : L : H =  4 : 3 : 2 
Cost of labour  is L = Rs 45 =  3 * Rs 15     =>    it is 3 times 15.
   =>  cost of manufacture  M =  4 * Rs 15 = Rs 60,   it is 4 times 15 as per ratio.
  => cost of overheads = H = 2 *  Rs 15 =  Rs 30

Total cost of the article =  Rs 45 + 60 + 30 = Rs 135.

Profit percent =  (180 - 135)/135 * 100 =  45/135 * 100 = 33.33%

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