A person spends 40% of his monthly income. The monthly income of the person is increased by 15% and his expenditure is decreased by 22%. What is the approximate percentage increase in his savings?

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that 

The ratio of the length of the parallel sides of a trapezium is 3: 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm.2, the semi-sum of the length of the parallel sides is

Two numbers are in the ratio 3: 4. If their LCM is 240, the E smaller of the two numbers is: 

The HCF and LCM of two numbers are 3 and 2730 respectively. If one of the numbers is 78, find the other number.

If A:B is 2:5 and B:C is 3:4, what is A:C? 

Area of a rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length?

In ΔABC θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of $$ {sin^{2}θ+cosec^{2}θ-{1\over 2}cot^{2}θ}$$.