The total manufacturing cost of product P is equal to the sum of product P's fixed cost and line cost. If the line cost of manufacturing P decreased by 10% in March compared to previous month, by what percent did the total cost of manufacturing product P change in that March over the previous month?
(1) The fixed cost of manufacturing product P increased by 15% in March compared to previous month.
(2) Before the changes in March, the fixed cost of manufacturing product P was 10 times the line cost of manufacturing product P.
Sol
Given cost of product = P
F= fixed cost
L= line cost
Feb
P=L+F
Mar
P=F'(some new F or same )+ 0.9L
1st statement
Fixed cost increased hence
F' =1.15*F
P=1.15F +0.9L
Month on month growth = this month/last month
So
(1.15F + 0.9L) / (F +L)
Since F and L are unknowns hence value can be anything
So A and D ruled out
2nd Statement
F=10L
But F' is not know hence month on month cannot be calculated
So B ruled out
Both the statement
(1.15*10L +0.9L)/(10L+L)= 1=127
A single value hence C
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