Four teams A, B, C and D participated in a competition, such that the points scored by them is in the ratio 5 ∶ 6 ∶ 4 ∶ 7 respectively. If team C had scored 35 points more, then the ratio of points scored by C and D would be 3 ∶ 4. How many points should team B had scored more so that the ratio of points scored by teams A and B becomes 4 ∶ 5?

Four teams A, B, C and D participated in a competition, such that the points scored by them is in the ratio 5 ∶ 6 ∶ 4 ∶ 7 respectively. If team C had scored 35 points more, then the ratio of points scored by C and D would be 3 ∶ 4. How many points should team B had scored more so that the ratio of points scored by teams A and B becomes 4 ∶ 5? Correct Answer 7

Let the points scored by the teams A, B, C and D be ‘5x’, ‘6x’, ‘4x’ and ‘7x’ respectively

If team C had scored 35 points more,

Ratio of points scored by C and D = (4x + 35) ∶ 7x

⇒ (4x + 35)/7x = 3/4

⇒ 16x + 140 = 21x

⇒ 5x = 140

⇒ x = 140/5 = 28

⇒ Points scored by A = 5x = 5(28) = 140

⇒ Points scored by B = 6x = 6(28) = 168

Now, let team B had scored ‘y’ points more to make the ratio of teams A and B be 4 ∶ 5

⇒ 140/(168 + y) = 4/5

⇒ 700 = 4y + 672

⇒ y = 28/4 = 7