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Find the value of $$\frac{1}{5} + $$ $$999\frac{{494}}{{495}} \times 99$$ = ?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \Leftrightarrow \frac{1}{5} + 999\frac{{494}}{{495}} \times 99\, \cr
& \Rightarrow \frac{1}{5} + \left[ {999 + \frac{{494}}{{495}}} \right] \times 99\, \cr
& \Rightarrow \frac{1}{5} + \left[ {999 + 1 - \frac{1}{{495}}} \right] \times 99 \cr
& \Rightarrow \frac{1}{5} + \left[ {1000 - \frac{1}{{495}}} \right] \times 99 \cr
& \Rightarrow \frac{1}{5} + 99000 - \frac{1}{5} \cr
& \Rightarrow 99000\, \cr} $$
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