In a test match, a batsman scored 30% of his total runs by hitting sixes, 25% of his total runs by hitting boundaries (each boundary - 4 runs), and rest by hitting singles and doubles. If he scored 20 runs by hitting boundaries, what percentage of the runs by hitting sixes were the runs by hitting boundaries?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. %.
Let the total runs be 100x.
Runs by hitting sixes = 30% of 100x = 30x
Runs by hitting boundaries = 25% of 100x = 25x
Given, 25x = 20
⇒ x = 4/5
Runs by hitting sixes = 30 × 4/5 = 24
Required percentage = (20/24) × 100
⇒ 100 × 5/6 = %