Bunuel
The toy manufacturer ‘Leno Inc. has four toy-manufacturing plants A, B, C and D, which receive raw materials in the form of plastic. The plants have different efficiencies, and hence, different quantities of raw materials are wasted. The quantity of raw materials used by each plant and the number of toy units manufactured by the plants in a week are shown.
Does Plant B have the lowest rate of wastage of raw materials?
(1) All the plants manufacture the same and the identical toys.
(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.
Attachment:
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Wastage rate of a plant = (Input- Output)/ Input
or Efficiency = Number of finished products(if products are identical) / Input raw material
We know the input weight of raw material for each of the plants .
(1) All the plants manufacture the same and the identical toys.
Efficiency = Number of finished products / input raw material (Since toys are identical )
for A = 100,000 / 400*10^3 = 1/4
B = 120,000/360*10^3 = 1/3
C= 50,000/250*10^3 = 1/5
D= 30,000/200*10^3 = 3/20
The plant with lowest ratio will have lowest efficieny . In this case plant D .
Sufficient
(2) The weight of the toys manufactured in the plants A, B, C and D are in the ratio 2 : 2 : 3 : 4.
Since we know the ratio weights of the finished products , we can calculate the efficieny ratio .
For simplicity , we can assume that weights per unit of toy from A , B , C and D are 2 kg , 2 kg , 3 kg and 4 kg
Efficiency for A = 2*1/4 = 1/2
B = 2*1/3 = 2/3
C = 3*1/5 = 3/5
D = 4*3/20 = 12/20 = 3/5
The plant with lowest ratio is A .
Sufficient
Answer D