Question
1/5 of a rod is coloured red, 1/10 orange, 1/15 yellow,
1/20 green, 1/25 blue, 1/30 black and the rest is violet. If the length of the violet portion of the rod is 24.48 metres, then the length of the rod isÂSolution
Let the length of the rod be x metres. According to the question, x – [(x/5) + (x/10) + (x/15) + (x/20) + (x/25) + (x/30)] =24.48 x – [1 – {(60 + 30 + 20 + 15 + 12 + 10)/300}] = 24.48 x – (1 – 147/300) = 12.08 x (300 – 147)/300 = 24.48 x = (24.48 x 300)/153 x = 48mÂ
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