The monthly incomes of Anjali and Bhavesh are in the ratio $5 : 4$ and their monthly expenses are in the ratio $3 : 2$. Each of them saves ₹8,000 a month. What is Anjali's monthly income?

Explanation

1. 01

   Let incomes be 5x and 4x, expenses 3y and 2y.

2. 02

   Savings: $5x - 3y = 8{,}000$ and $4x - 2y = 8{,}000$.

3. 03

   From the second, $y = 2x - 4{,}000$. Substituting: $5x - 6x + 12{,}000 = 8{,}000$, so $x = 4{,}000$.

4. 04

   Anjali's income = $5 \times 4{,}000$ = ₹20,000.