The measure of an angle is one half of its supplementary angle. Find its measure.

A bus is moving at a speed of 82 km/hr. If its speed is reduced by 28%, then what will be the new speed of the bus (in km/hr)?

A person spends 50% of his monthly salary on house rent. If he spends ₹912 on transport and ₹3,799 on groceries every month and saves the remaining ₹131, then find his monthly salary (in ₹).

If 86% of a number is added to 350, then the result is the number itself. Find the number.

Rakesh spends 15% of his monthly income on his household expenditure, 20% on books, 30% on clothes and saves the rest. On counting, he comes to know that he has finally saved Rs.12565. Find his monthly income. (In Rs.)

Louis bought a new plot which needs to be fenced immediately. Due to this, the length as well as the breadth of the rectangular working place is reduced by 7%. Find the % decrease in the area.

In an election between two candidates, 15% of the voters in the voters' list did not cast their votes and 10% of the votes polled were declared invalid. The winning candidate got 60% of the total valid votes and won by a majority of 7650 votes. The number of valid votes was :