Question

Total income of Ramesh, Suresh and Preeti is 8,07,000 rupees. The percentages of their expenses are 75%, 80% and 90% respectively. If the ratio of their savings is 16 : 17 : 12, then find the annual saving of each of them.

Answer 1

Let the savings of Ramesh, Suresh and Preeti be 16x, 17x and 12x.
Expenditure of Ramesh = 75% of income
So, Savings of Ramesh = 25% of income
We know
Saving = Income $-$ expenditure
16x = 25% of income
$$\begin{gathered} \Rightarrow 16x=\frac{25}{100}\left(\mathrm{income}\mathrm{of}\mathrm{Ramesh}\right) \\ \Rightarrow 64x=\mathrm{income}\mathrm{of}\mathrm{Ramesh} \end{gathered}$$
Similarly, Savings of Suresh = 20% of his income
So,
$$\begin{gathered} 17x=20\%\left(\mathrm{income}\mathrm{of}\mathrm{Suresh}\right) \\ \Rightarrow 17x=\frac{20}{100}\left(\mathrm{income}\mathrm{of}\mathrm{Suresh}\right) \\ \Rightarrow 85x=\left(\mathrm{income}\mathrm{of}\mathrm{Suresh}\right) \end{gathered}$$
Savings of Preeti = 10% of her income
$$\begin{gathered} \Rightarrow 12x=\frac{10}{100}\left(\mathrm{income}\mathrm{of}\mathrm{Preeti}\right) \\ \Rightarrow 120x=\left(\mathrm{income}\mathrm{of}\mathrm{Preeti}\right) \end{gathered}$$
Given that total income of Ramesh, Suresh and Preeti is 8,07,000.
$$\begin{gathered} 64x+85x+120x=8,07,000 \\ \Rightarrow 269x=8,07,000 \\ \Rightarrow x=\mathrm{Rs}3000 \end{gathered}$$
Savings of Ramesh = Rs 16 $\times 3000=\mathrm{Rs}48000$
Savings of Suresh = Rs 85 $\times 3000=\mathrm{Rs}51000$
Savings of Preeti = Rs 120 $\times 3000=\mathrm{Rs}36000$