Question
In a contest between two nominees 'X' and 'Y', 10% of all
the votes were found to be invalid. If 'X' secured 60% of the valid votes and 'Y' got 21,600 valid votes, determine the total number of votes polled.Solution
ATQ,
Let the total number of votes be '100n'
Number of valid votes = 0.90 × 100n = 90n
Number of valid votes received by 'Y' = 0.40 × 90n = 36n
So, 36n = 21,600
Or, n = 600
Therefore, total number of votes = 600 × 100 = 60,000
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
What is the inradius of an equilateral triangle whose vertical height measures 12√3 cm?
In ΔPQR, PQ = 4 cm, QR = 3 cm, and RP = 3.5 cm. ΔDEF is similar to ΔPQR. If EF = 9 cm, what is the perimeter of ΔDEF?
In triangle ABC, the lengths of its sides are given as AB = 8 cm, AC = 10 cm, and BC = 12 cm. Determine the length of the median drawn from vertex 'A' t...
- Find the radius of the incircle of an equilateral triangle whose height is given to be 3√3 cm.
- The base of a right pyramid is an equilateral triangle with side 7 cm. If the height of the pyramid is 32√3 cm, then find the volume of the pyramid.
Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :
In a right triangle, if the altitude drawn to the hypotenuse divides the triangle into two triangles of equal area, what is the value of the smallest an...
Find the area of a triangle whose sides are 12 m, 14 m, and 16 m.
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 5√3 cm?
Relevant for Exams:
