A man spends two fifth of his money and has 90 rupees left. Find how much did he have initially?
0.6x = 90
To find out how much money the man initially had, we can set up an equation based on the information given.
Let's assume the man initially had "x" rupees.
According to the problem, the man spent two-fifths of his money and has 90 rupees left.
This means he spent (2/5) of his money, which is (2/5) * x, and has 90 rupees left, so we can set up the equation:
x - (2/5) * x = 90
To solve this equation, we can simplify it:
(3/5) * x = 90
Now, to find the value of "x" we need to isolate it. We can do this by multiplying both sides of the equation by the reciprocal of (3/5), which is (5/3).
(5/3) * (3/5) * x = 90 * (5/3)
On the left side, the (3/5) and (5/3) cancel out, leaving us with:
x = 90 * (5/3)
Now, we can calculate the value:
x = 150
Therefore, the man initially had 150 rupees.