Out of total capital required to start a business A invested 30 %, B invested $$2\over 5$$ and C invested the remaining capital. At the end of one-year sum of Rs. 4000 is earned as a profit which is 20% of the capital given by B, then find how much C invested in the business? 

The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is 

From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is

The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is 

From two points on the ground lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar. Then the height of the pillar is

A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is 

If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be 

M, P and Q together started a business. M invested ₹ 6, 500 for 6 months, P invested ₹ 8,400 for 5 months and Q invested ₹ 10,000 for 3 months. M is working member for which he gets 5 % of total profit extra. If the total gain is  7,400 , then Q's share is :