$\begin{array}{1 1}(a)\;100000000yrs&(b)\;2\times 10^6yrs\\(c)\;1.9089\times 10^{10}yrs&(d)\;10^{21}yrs\end{array}$

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Number of rupees spent in one second =$10^5$

Number of rupees spent in one year$=10^6\times 60\times 60\times 24\times 365$

Avagadro's number of rupees will be spent=$\large\frac{6.02\times 10^{23}}{10^6\times 60\times 60\times 24\times 365}$

$\Rightarrow 19.089\times 10^9yrs$

$\Rightarrow 1.9089\times 10^{10}yrs$

Hence (c) is the correct answer.

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