Bhavya earns Rs.50,000 per month and spends 80% of it.Due to pay revision,her monthly increases by 20% but due to price rise,she has to spend 20% more.Find her new savings.

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$$\begin{gathered} \mathrm{Given}, \mathrm{Bhavya}\text{'}\mathrm{s} \mathrm{income}=\mathrm{Rs} 50,000 \\ \mathrm{And} \mathrm{he} \mathrm{spends}=80\% \mathrm{of} \mathrm{his} \mathrm{income} \\ \mathrm{Now}, \mathrm{income} \mathrm{increases} 20\% \mathrm{and} \mathrm{spend} 20\% \mathrm{more}. \mathrm{So}, \\ \mathrm{Bhavya}\text{'}\mathrm{s} \mathrm{new} \mathrm{income}=\mathrm{Rs} 50000+20\% \mathrm{of} \mathrm{Rs} 50000 \\ =\mathrm{Rs}50000+\frac{20}{100}\times \mathrm{Rs} 50000 \\ =\mathrm{Rs} 50000+\mathrm{Rs} 10000 \\ =\mathrm{Rs} 60000 \\ \mathrm{Bhavya}\text{'}\mathrm{s} \mathrm{new} \mathrm{spending}=80\% \mathrm{of} 50000+\left(20\%\right) \mathrm{of} 80\% \mathrm{of} 50000 \\ =\frac{80}{100}\times 50000+\frac{20}{100}\times \frac{80}{100}\times 50000 \\ =40000+8000 \\ =\mathrm{Rs} 48000 \\ \mathrm{Thus}, \mathrm{New} \mathrm{saving}=\mathrm{Rs} 60000-\mathrm{Rs} 48000=\mathbf{Rs}\mathbf{ }\mathbf{12000}\mathbf{ }\mathbf{ }\left(\mathbf{Answer}\right) \end{gathered}$$
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