Solution
Given : $$x=0.7822222....$$
=> $$100x=78.22222.....$$ ------------(i)
=> $$1000x=782.2222.....$$ ------------(ii)
Subtracting equation (i) from (ii), we get :
=> $$900x=782.2222-78.2222=704$$
=> $$x=\frac{704}{900}$$
=> Ans - (A)
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