One-third of a tower is painted black, $$\frac{5}{{11}}$$th of the remaining part is painted red and the rest is painted white. If the white part measures 60 ft.,the total height of the tower is-
Options:
A . 100 ft.
B . 154 ft.
C . 165 ft.
D . 110 ft.
Answer: Option C Let the tower height will be x ft. ∴ Black part will be = $$\frac{1}{3}x$$ Remaining part = $$x - \frac{1}{3}x = \frac{2}{3}x$$ ∴ Red part will be = $$\frac{2}{3}x \times \frac{5}{{11}} = \frac{{10}}{{33}}x$$ White part will be = $$\frac{2}{3}x - \frac{{10}}{{33}}x = \frac{{12x}}{{33}}$$ i.e. $$\frac{{12x}}{{33}}$$ = 60 x = 165 ft.
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