A man spends 1/5 of his income on food and 1/3 of the reminder on his car. If he then has 286 naira left, what is his income?
Let's assume the man's income is x.
He spends 1/5 of his income on food, which is (1/5)x
The reminder is x - (1/5)x = (4/5)x
He spends 1/3 of the reminder on his car, which is (1/3)(4/5)x = (4/15)x
After spending (4/15)x on his car, he has (4/5)x - (4/15)x = (8/15)x left.
We are given that he has 286 naira left, so (8/15)x = 286
Multiplying both sides by 15/8, we get x = 286 * 15/8 = 537.1875
Therefore, his income is approximately 537.1875 naira.