Simplify the following expression.

 25-(4÷2)+11.5+9.5

A manufacturer fixes his selling price at $$33{1\over3}\% $$ over the cost of production. If the cost of production goes up by 12 % and manufacturer raises his selling price by 10%, his percentage profit is 

If xy(x+y)=1, then $$ {1\over x^3 y^3}-{x^3-y^3}$$ is equal to-

Two equal glasses are filled with alcohol and water respectively. First glass is filled with (2/5) of alcohol and second glass is filled with (1/4) of alcohol. Then, the glasses are filled up with water and the resultant mixture is put into a big Jug. Find the ratio of alcohol and water in the jug.

Directions:  Study the bar-graph given below & answer the questions.
Pie-chart given below shows the percentage distribution of total no. of boys in six different Schools.
Total Boys in all schools together = 6400

Total student in another school H is 250% more than the boys in school B and ratio of boys to girls in school H is 1 : 2. Then find number of boys in school H?

O is the orthocentre of ΔABC. If ∠BOC=110°, ∠BAC is equal to

If $$ {x^4}+{1\over{x^4}}$$ then find $$ {x^3}-{1\over{x^3}}=?$$

A man travels from Point P to Q with 90 km/hr and from Q to R with 60 km/hr. Total distance between P to R is 200 km. If his average speed is 75 km/hr then find the distance between P and Q.