Question

A man spent ¼ of his monthly salary on rent, 2 / 5 on food and 1 / 6 on books. If he still had ¢55,000 left, what was his monthly salary?

Answer 1

Step-by-step explanation:

Let total salary be x.

1/4 of x = x/4

2/5 of x = 2x/5

1/6 of x = x/6

$x - \frac{x}{4} + \frac{2x}{5} + \frac{x}{6} = 55000$

$\frac{60x - 15x + 24x + 10x}{60} = 55000$

$\frac{11x}{60} = 55000$

$11x = 55000 \times 60$

$x = \frac{55000 \times 60}{11}$

$x = 300000$

His salary is 300000.