If  $$ \ {xy\over x+y}= a, $$ $${xz\over x+z}=b $$ and $$ {yz\over y+z} =c $$  where a, b, c are all non – zero numbers, then x equals to

Find the amount (integral value only) if a sum of ₹6,500 is being borrowed at 10% interest per annum for 2 years if interest is compounded half-yearly.

180 m long Train A crosses Train B of 120 m in length which is running in opposite direction in $$ {60\over 11}$$ sec. If speed of train B is 20% more than that of train A, then find the time taken by both trains to cross each other, when they running in same direction?

Rajan purchased two ceiling fans at the rate Rs. 2,500 each. Out of which one fan was sold at 15% profit and other was sold at 8% loss. How much profit or loss percentage is obtained in the whole transaction? 

Direction : Given here is a multiple bar diagram of the scores of four players in two innings. Study the diagram and answer the questions.

The average runs of two innings of the player who scored highest in average are : 

A cistern can be filled by two pipes A and B in 4 hours and 6 hours respectively. When full, the tank can be emptied by a third pipe C in 8 hours. If all the taps be turned on at the same time, the cistern will be full in 

Simplification