Solution(By Examveda Team)
$$\eqalign{
& {\text{Let}}\,{\text{saving}}\,{\text{in}}\,{\text{N}}{\text{.S}}{\text{.C}}\,{\text{and}}\,{\text{P}}{\text{.P}}{\text{.F}}{\text{.}}\,{\text{be}}\, \cr
& Rs.\,x\,{\text{and}}\,Rs.\,\left( {150000 - x} \right){\text{respectively}}. \cr
& {\text{Then}},\,\frac{1}{3}x = \frac{1}{2}\left( {150000 - x} \right) \cr
& \Rightarrow \frac{x}{3} + \frac{x}{2} = 75000 \cr
& \Rightarrow \frac{{5x}}{6} = 75000 \cr
& \Rightarrow x = \frac{{75000 \times 6}}{5} = 90000 \cr
& \therefore {\text{Savings}}\,{\text{in}}\,{\text{Public}}\,{\text{Provident}}\,{\text{Fund}} \cr
& = Rs.\,\left( {150000 - 90000} \right) \cr
& = Rs.\,60000 \cr} $$
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