From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is

12 kg of rice costing 30 per kg is mixed with 8 kg of rice costing 40 per kg. The average per kg price of mixed rice is

A man rows from J to K (upstream) and back from K to J (downstream) in a total time of 15 hours. The distance between J and K is 300 km. The time taken by the man to row 9 km downstream is identical to the time taken by him to row 3 km upstream. What is the approximate speed of the boat in still water?

150 workers were engaged to finish a piece of work in a certain number of days. Four workers dropped on the second day, four more workers dropped on third day and so on. It takes 8 more days to finish the work now, find the number of days in which the work was completed?

The width of the path around a square field is 4.5 m and its area is 105.75 m². Find the cost of fencing the path at the rate of ₹100 per metre.

The ratio of officers to soldiers in a regiment before the war was 3 : 31. 6 officers and 22 soldiers were killed in the war and the ratio became 1:13. What was the number of officers in the regiment before the war?

The distance between the points (4, 8) and (k, -4) is 13. What is the value of k? 

In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm² and AC=3AB, then the area of ΔABC: