The ratio of the salaries of A and B is 4 : 5 and the ratio of their expenditures is 5 : 6. If both save Rs 200 and Rs 300, respectively, then what is the salary of A?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Rs 1,200.
Let the salary of A and B be x and the expenditure of A and B be y
Income = Expenditure + savings
Savings = Income - Expenditure
200 = 4x - 5y.....(1)
300 = 5x - 6y.....(2)
Multiply equation (1) by 5 and equation (2) by 4
1000 = 20x - 25y.....(3)
1200 = 20x - 24y.....(4)
Subtract equation (3) from (4)
⇒ 20x - 24y - 20x + 25y = 1200 - 1000
⇒ y = 200 and x = 300
The salary of A = 4x = Rs. 1200