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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 is 

A 40 m Correct Answer Incorrect Answer
B 45 m Correct Answer Incorrect Answer
C 48 m Correct Answer Incorrect Answer
D 41 m Correct Answer Incorrect Answer

Solution

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 = 48m 

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