Correct Answer - Option 4 : Rs. 40500
Given:
Salary ratio = 16 : 11
A's expenditure = 4/3 of B's expenditure
A's savings = 6000 + B's savings
A's savings = Rs. 12000
Calculation:
Let expenditure of B be Rs. x
A's expenditure = 4x/3
B's savings = 12000 - 6000 = 6000
A.T.Q
(4x/3 + 12000)/(x + 6000) = 16/11
⇒ 44x/3 + 132000 = 16x + 96000
⇒ 4x/3 = 36000
⇒ x = Rs. 27000
B's salary = 27000 + 6000 = 33000
A's salary = 4/3 × 27000 + 12000 = Rs. 48000
Average salary = (33000 + 48000)/2 = Rs. 40500
∴ The average salary is Rs. 40500