1/10 of a rod is coloured red, 1/20 orange, 1/30 yellow,

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1/10 of a rod is coloured red, 1/20 orange, 1/30 yellow, 1/40 green, 1/50 blue, 1/60 black and the rest is violet. If the length of the violet portion of the rod is 12.08 metres, then the length of the rod is

Let the length of the rod be p metres.
According to the question,

p −

= 12.08

p		1 −		60 + 30 + 20 + 15 + 12 + 10			= 12.08
				600

p		1 −	147		= 12.08
			600

p		600 − 147		= 12.08
		600

⇒ p ×	453	= 12.08
	600

⇒ p =	12.08 × 600	= 16 m.
	453