The salaries of A and B together is Rs.14000. A spends 80% of his salary & B…
2024
The salaries of A and B together is Rs.14000. A spends 80% of his salary & B spends 85% of his salary. What is the salary of B if their savings are equal?
- A.
8000
- B.
9000
- C.
10000
- D.
6500
Attempted by 14 students.
Show answer & explanation
Correct answer: A
Solution: Let A's salary be x and B's salary be y. We have x + y = 14000.
A spends 80%, so A saves 20%: savings of A = 0.2x. B spends 85%, so B saves 15%: savings of B = 0.15y.
Since their savings are equal, set 0.2x = 0.15y. Substitute x = 14000 - y to get 0.2(14000 - y) = 0.15y.
Solve: 0.2(14000 - y) = 0.15y → 2800 - 0.2y = 0.15y → 2800 = 0.35y → y = 2800 / 0.35 = 8000.
Therefore B's salary is 8000.
Quick check: If B = 8000 then A = 6000. A's savings = 0.2 × 6000 = 1200 and B's savings = 0.15 × 8000 = 1200, so the savings are equal.