Question

After spending $69\%$ of his monthly earnings a man saves Rs $2108$. Find his monthly income.

Answer 1

Given:

Percentage of spending of monthly earning $=69\%$

Monthly saving $=₨2108$

Since, total earning $=100\%$

Thus, saving percentage $=100-69=31\%$

Let his monthly income is $\mathrm{x}$.

Then, according to the question,

$$\begin{gathered} 31\%\mathrm{of}\mathrm{x}=2108 \\ \Rightarrow \mathrm{x}\times 31\%=2108 \\ \Rightarrow \mathrm{x}\times \frac{31}{100}=2108 \end{gathered}$$

Transposing $\frac{31}{100}$ to R.H.S. we get

$$\begin{gathered} \Rightarrow \mathrm{x}=\frac{2108\times 100}{31} \\ \Rightarrow \mathrm{x}=\frac{210800}{31} \\ \Rightarrow \mathrm{x}=6800 \end{gathered}$$

Hence, monthly income of a man is $₨6800$.