Define Variables and Given Information

Let the salary of P be $P$ and the salary of Q be $Q$. We are given that their total salary is ₹2,000.

$P + Q = 2000$

Set Up Savings Equation

P spends $95\%$ of his salary, so his savings are $100\% - 95\% = 5\%$. Q spends $85\%$ of his salary, so his savings are $100\% - 85\% = 15\%$. Since their savings are equal:

$5\% \text{ of } P = 15\% \text{ of } Q \implies 0.05P = 0.15Q$

Find the Ratio of Salaries

Dividing both sides by $0.05$, we get the ratio of P's salary to Q's salary.

$P = 3Q \implies \frac{P}{Q} = \frac{3}{1}$

Calculate P's Salary

Using the total salary of ₹2,000 and the ratio $3:1$, P's salary is calculated as:

$\text{P's Salary} = \frac{3}{3 + 1} \times 2000 = \frac{3}{4} \times 2000 = 1500$