If the profit on selling an article for Rs. 579 is the same as the loss on selling it for Rs. 337, then find the profit percent if its selling price is Rs. 687.

If the cost of pins reduces by Rs . 4 per dozen, 12 more pins can be purchased for Rs. 48. The cost of pins per dozen after reduction is: 

A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively 

Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first then in how many hours, the tank shall be full? 

Directions: The Bar Graph given here shows the population (in crores) of India in various census years. Observe the graph and answer the question based on it.  

Per year increase in population from the year 1931 to 1981 is 

Solve the given equation.
$$ {{cot \ 30°}\over {1+sin\ 45°}}+{{1+sin\ 45°}\over cot \ 30°}=?$$

In the given fig, find the value of x