Answer:
Let's assume the man's monthly salary is "S" Ghana cedis.
According to the given information:
He spent 1/4 of his monthly salary on rent.
He spent 2/5 of his monthly salary on food.
He spent 1/6 of his monthly salary on books.
The amount of money he had left can be calculated by subtracting the total amount spent from his monthly salary.
Total amount spent = (1/4)S + (2/5)S + (1/6)S
Total amount left = S - [(1/4)S + (2/5)S + (1/6)S]
To find his monthly salary, we need to solve the equation:
Total amount left = 55000
S - [(1/4)S + (2/5)S + (1/6)S] = 55000
To simplify this equation, let's find a common denominator for the fractions:
S - [(15/60)S + (24/60)S + (10/60)S] = 55000
S - [(49/60)S] = 55000
To eliminate the fraction, we can multiply both sides of the equation by 60:
60S - 49S = 55000 * 60
11S = 3300000
Dividing both sides by 11:
S = 3300000 / 11
S ≈ 300000
Therefore, the man's monthly salary is approximately 300,000 Ghana cedis.