To solve this problem, we can set up an equation to represent the given information.
Let's assume the man's monthly salary is S.
According to the information given, the man spends half of his salary on household expenses, which is (1/2)S.
He spends 1/4th of his salary on rent, which is (1/4)S.
He spends 1/5th of his salary on travel expenses, which is (1/5)S.
The amount he deposits in the bank is the remaining salary after deducting the expenses. Therefore, the equation can be written as:
S - (1/2)S - (1/4)S - (1/5)S = 50
To simplify the equation, we can find a common denominator for the fractions:
(20/20)S - (10/20)S - (5/20)S - (4/20)S = 50
Now, let's combine like terms:
(1/20)S = 50
To solve for S, we can multiply both sides of the equation by 20:
S = 50 * 20
S = 1000
Therefore, the man's monthly salary is 1000.
The correct answer is option C) 1000.