Anita spends 65% of her salary and the rest she saves. She saves ₹ 2940 per month. What is her monthly salary?

Let total salary of Anita be = a

Salary spent by Anita =  $65\%\ of\ a\ =\ a\ \times \ \frac{65}{100} \ =\ \frac{13a}{20}$

Salary saved by Anita = $a\ -\ \frac{13a}{20}$

Given that she saves ₹ 2940 per month. So,

$ \begin{array}{l}
65\%\ of\ a\ =\ a\ \times \ \frac{65}{100} \ =a\ -\ \frac{13a}{20}\\
\\
\\
a\ -\ \frac{13a}{20} \ =\ 2940\\
\\
\\
\\
\frac{20a\ -\ 13a}{20} \ =\ 2940\\
\\
\\
\\
\frac{7a}{20} \ =\ 2940\\
\\
\\
\\
a\ =\ 2940\ \times \ \frac{20}{7}\\
\\
\\
a\ =\ 420\ \times \ 20\\
\\
\\
a\ =\ \mathbf{8400}
\end{array}$

So, total salary of Anite is ₹ 8400.

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Updated on: 10-Oct-2022

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