Question

The monthly salaries of A and B together amount to ₹ 40000. A spends 82% of his salary and B, 94% of his salary. If their savings are the same, then the salary of A is:

• A. ₹ 10000
• B. ₹ 18000
• C. ₹ 22000
• D. ₹ 30000

Hint:

Translate word problems into equations carefully by calculating savings from income and expenses. Equating the two helps solve for the unknown.

Answer 1

The Correct Option is A

Let salary of A = ₹ x Then salary of B = ₹ (40000 - x) Savings of A: \[ = x - 0.82x = 0.18x \] Savings of B: \[ = (40000 - x) - 0.94(40000 - x) = 0.06(40000 - x) \] Since their savings are the same: \[ 0.18x = 0.06(40000 - x) \Rightarrow 0.18x = 2400 - 0.06x \Rightarrow 0.18x + 0.06x = 2400 \Rightarrow 0.24x = 2400 \Rightarrow x = \frac{2400}{0.24} = ₹ 10000 \]