There are $60$ fruit baskets in a shop. Each basket has $120$ fruits. The percentage of mangoes in the shop is $50\%$. Find the number of mangoes in the shop.

A survey was conducted among $800$ people in a village. The survey result was as follows:

$35\%$ of the people wereself-employed, $42\%$ of them were farmers and the remaining were employed in a factories or offices. Find the number of people in each category.