The monthly salaries of A and B together amount to ₹45,000. A spends 75% of his salary and B spends 80% of his salary. If now their savings are the same, then the salary of B (in ₹) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 25,000.
Let A's salary be ₹A and B's salary be ₹B.
A + B = 45000
Savings of A = 25% of A's salary
Savings of B = 20% of B's salary
Savings of A = Savings of B
Let A's salary be ₹ A and B's salary be ₹ B.
A + B = 45000
Savings of A = 25% of A = 0.25A
Savings of B = 20% of B = 0.20B
Savings of A = Savings of B
0.25A = 0.20B
⇒ 25A = 20B
⇒ 5A = 4B
⇒ A = (4/5)B
Substitute A in A + B = 45000:
(4/5)B + B = 45000
(4B + 5B) / 5 = 45000
⇒ 9B / 5 = 45000
⇒ 9B = 45000 × 5
⇒ 9B = 225000
⇒ B = 225000 / 9 = 25000