A man spends 3/8 of his money and still has rupees 720 with him. How much money did he have at first.
If he spent 3/8 of his money, then he has 5/8 left
(5/8)x = 720
x = 720 ÷ (5/8)
recall how to divide by a fraction
To find out how much money the man had at first, we can set up an equation using the information provided.
Let's assume the amount of money the man had at first is 'x' rupees.
According to the given information, the man spent 3/8 of his money, which means he has (1 - 3/8) = 5/8 of his money left.
Thus, 5/8 of x rupees is equal to 720 rupees.
We can now set up the equation:
(5/8)x = 720
To find the value of x, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 5/8, which is 8/5:
x = (720 * 8/5)
x = 1152
Therefore, the man had 1152 rupees at first.