Correct Answer - Option 1 : 3 : 2
Given:
Mumbai and Delhi game points difference = 6 points
Delhi game points = 2 points
Game points for hitting a goal = 2 points
Game points for conceding a goal = -1 point
Calculation:
Let the number of goals by Delhi and Mumbai be x and y
Mumbai game points = 2 + 6 = 8 points
Difference between the game points = 6 points
Mumbai Game points = 2y - x = 8 ----(i)
Delhi game points = 2x - y = 2 ----(ii)
multiplying equation (i) by 2
4y - 2x = 16 ----(iii)
adding with equation (ii) and (iii)
(4y - 2x) + (2x - y) = 16 + 2
3y = 18
y = 6
then substitute y value in equation (i)
x = 4
the ratio of goals = 6 : 4 = 3 : 2
∴ The ratio of goals scored by Mumbai and Delhi is 3 : 2