For the following questions answer them individually
A man purchased 5 bags of rice at the rate of ₹900 each,7 bags of rice at ₹1,000 each and 8 bags of rice at the rate of ₹1,200 each. What is the average cost of 1 kg of rice if each bag contains 50 kg of rice?
In a class of only boys and girls, the number of girl is half the number of boys and the average marks of girls are double of the average marks of boys. If the average marks of the class are 56, then what are the average marks of boys?
A man can row upstream at 8 km/h and downstream at 12 km/h. Find the man's speed in still water and speed of water respectively?
If the curved surface area of a solid hemisphere is 2.772 $$cm^{2}$$, find its volume (Use $$\pi = \frac{22}{7}$$)
A and B can do a piece of work in 42 days, and B and C can do it in 56 days. If B alone can do it in 70 days, in how many days can C do the work?
If in a triangle ABC, AB= AC and $$\triangle ACD = 95^{\circ}$$, where D is an outside point on extension to line BC, then $$\triangle$$ BAC is equal to:
A, B and C start at the same time, from the same point and in the same direction to run around a circular ground. A completes a round in 240 sec, B in 300 sec and C in 160 sec. After how much time will they meet again at the starting point?
The compound interest on a sum at a certain rate per annum compounded annually for 2 years is Rs.832 and the simple interest on the same sum for the same period and at the same rate of interest is Rs.800. The difference in the compound interest and simple interest for a period of 3 years would be:
A man purchased an old bicycle for ₹1,200 and spent ₹1,800 on its repairing. He sold it for ₹2,400. What is his loss percentage?