$$\frac{1}{{10}}$$ of a pole is coloured red, $$\frac{1}{{20}}$$ white, $$\frac{1}{{30}}$$ blue, $$\frac{1}{{40}}$$ black, $$\frac{1}{{50}}$$ violet, $$\frac{1}{{60}}$$ yellow and the rest is green. If the length of the green portion of the pole is 12.08 metres, then the length of the pole is = ?
A. 16m
B. 18m
C. 20m
D. 30m
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{Green portion}} \cr & = \left[ {1 - \left( {\frac{1}{{10}} + \frac{1}{{20}} + \frac{1}{{30}} + \frac{1}{{40}} + \frac{1}{{50}} + \frac{1}{{60}}} \right)} \right] \cr & = \left[ {1 - \frac{1}{{10}}\left( {1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6}} \right)} \right] \cr & = 1 - \frac{1}{{10}} \times \frac{{147}}{{60}} \cr & = 1 - \frac{{147}}{{600}} \cr & = \frac{{453}}{{600}} \cr & {\text{let the length of the pole be }}x{\text{ metres}} \cr & {\text{Then, }}\frac{{453}}{{600}}x = 12.08 \cr & \Leftrightarrow x = \left( {\frac{{12.08 \times 600}}{{453}}} \right) = 16 \cr} $$Related Questions on Simplification
A. 20
B. 80
C. 100
D. 200
E. None of these
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
E. None of these
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