110 of a rod is coloured red, 120 orange, 130 yellow, 140 green, 150 blue, 160 black and the rest is violet. If the length of the violet part of the rod is 12.08 mtr, then the length of the rod is -

Answer: Option A

Let the total length of rod is 1 unit
According to question,
$$\Rightarrow 1-\frac{1}{10}-\frac{1}{20}-\frac{1}{30}-\frac{1}{40}-\frac{1}{50}$$       $$-\frac{1}{60}$$

$$\Rightarrow \frac{600-60-30-20-15-12-10}{600}$$
$$\begin{array}{rl}& \Rightarrow \frac{453\leftarrow \text{ Violet part}}{600\leftarrow \text{ Total part}}\\ & 453\text{ part }\to \text{ 12}\text{.08 mtr}\\ & \text{1 part }\to \frac{12.08}{453}\\ & 600\text{ part }\to \frac{12.08}{453}\times 600\\ & =16\text{mtr}\end{array}$$
So total length of rod is 16 metres.