A factory requires 56 machines to manufacture a given number of articles in 144 days. How many machines will be required to produce the same number of articles in 96 days?

Options
a) 63
b) 84
c) 77
d) 81

Solutions

As per question
No. of machine = 56
Days = 144
$\frac {M_1 \times D_1}{W_1}$ = $\frac {M_2 \times D_2}{W_2}$
$\frac {56 \times 144}{W_1}$ = $\frac {M_2 \times 96}{W_2}$
Same number of articles- therefore W₁ = W₂
$M_2 = \frac { 56 \times 144}{96}$
$M_2 = 84$