Question

The monthly salaries of A and B together amount to ` 40,000. A spends 85% of his salary and B, 95% of his salary. If now their savings are the same, then the salary (in `) of A is

• A. 10,000
• B. 12,000
• C. 16,000
• D. 18,000

Answer 1

The Correct Option is A

Let the salary of A be \( x \), then the salary of B is \( 40,000 - x \) because their combined salary is ₹40,000.

A spends 85% of his salary, hence A's spending is \( 0.85x \), leaving him with savings of \( x - 0.85x = 0.15x \).

B spends 95% of his salary, hence B's spending is \( 0.95(40,000 - x) \), leaving B with savings of:

\((40,000 - x) - 0.95(40,000 - x) = 0.05(40,000 - x)\)

Given that their savings are equal, equate the savings of A and B:

\(0.15x = 0.05(40,000 - x)\)

Solve the equation:

\(0.15x = 2,000 - 0.05x\)

\(0.15x + 0.05x = 2,000\)

\(0.20x = 2,000\)

\(x = \frac{2,000}{0.20}\)

\(x = 10,000\)

Thus, the salary of A is ₹10,000.