On selling a pencil-box at 40% gains and glass-box at 50% gain, a seller gains R17. If he sells the pencil-box at 40% gain and glass-box at 70% gain, he gains R23. Find the actual price of pencil-box and glass-box .
A family has 450 kg of rice for x number of weeks. If they need to use same amount of rice for 3 more weeks, they need to cut down their weekly consumption of rice by 5 kgs. Find value of x.
Two poles of heights 27metres and 51metres stand vertically on a plane ground. If the distance between their feet is 32metres, find the distance between their tops.
In the given figure, XY and X′Y′ are two parallel tangents to a circle with center O and another tangent AB with the point of contact C intersects XY at A and X′Y′ at B. Find the measure of ∠AOB.
Find the difference between the area of a regular hexagonal plot each of whose side is 52m and the area of the circular swimming tank inscribed in it. [π=227 and √3=1.732]
A wooden article was made by scooping out a hemisphere from each end of a cylinder as shown in the figure. If the height of the cylinder 34 cm and its base is of radius 4 cm, then the total surface area of the article when it is ready is:
A box contains 4 purple and 4 blue balls. Megan takes out a ball, puts it back, and then takes out another ball. What is the probability that both balls were purple?