After an increase in tea price by 40% a family reduce its consumption of tea to the extent that there should be an increase on tea expense only by 10%. If the earlier consumption of tea was 28 kg, then what will be their new consumption?

Rectangle ABCD is formed in a circle with centre D. IF AE=6 cm and AD=9 cm, then find the perimeter of the rectangle.

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres O₁ and O₂ of the two circles?

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30^o. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

The angle of elevation of an aeroplane from a point on the ground is 60°. After flying for 15 second, the angle of elevation changes to 30°. If the Aeroplane is flying at a height of 4500 meter, then what is the speed (in m/s) of aeroplane?

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?

There are 500 students in a school out of which 60% are boys. 40% of the boys play hockey and girls don’t play hockey. 75% of the girls play badminton. If there are only two games to be played, number of students who don’t play any game.