Given : $$x=0.675555....$$
=> $$100x=67.5555.....$$ ------------(i)
=> $$1000x=675.5555.....$$ ------------(ii)
Subtracting equation (i) from (ii), we get :
=> $$900x=675.5555-67.5555=608$$
=> $$x=\frac{608}{900}$$
=> Ans - (C)
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