A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbors. Now he is left out with 36 eggs. How many eggs he bought?

A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbors. Now he is left out with 36 eggs. How many eggs he bought? Correct Answer 200

Let's assume that the man bought x eggs.Since 10% of the eggs are rotten, the number of good eggs he has is 90% of x, which is 0.9x.Now, he gives away 80% of the remainder (i.e., 100% - 10% = 90%) to his neighbors, which means he is left with 20% of the remainder. This can be expressed as:0.2(0.9x) = 36Simplifying this equation, we get:0.18x = 36x = 200Therefore, the man bought 200 eggs.