O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If ∠POS=60⁰ and ∠QCR = 130°, then ∠RPS = ?

A trader had 2000 kgs of rice. He sold a part of it at 10 % profit and the rest at 16 % profit so that he made a total profit of 14.2%. How much rice (in kg) did he sell at 10 % profit? 

Direction : What should come in place of the question (?) in the following question.

(?)² + (65)²=(160)² -  (90)² – 7191

The reduction of Rs . 12 in the selling price of an article will changes 5 % gain into  $$ 2{1\over 2}\% $$ loss . The cost price of the article is 

If ( 2x – y): ( 5x+3y)=3 : 8 then ( x² + y²) : ( x² – y²)=?

The bar graph shows the number of painting sold an art gallery in each month from January to June.

 How many paintings does it need to sell in July for the 7 month average to be 90?

α and β  is two root of a equations $$2x^2-7x+ 12=0 $$ then the value of $$ {α \over β }  + {β \over α }=? $$

Study the graph carefully and answer the following questions.

The production of State D in 1993-94 is how many times its production in 1994-95 ?