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In a match between Team A and B, Player X scored 75% of Team A’s runs. Team A scored 80% of runs scored by Team B and lost by 42 runs. How many runs did Player X score?

In a match between Team A and B, Player X scored 75% of Team A’s runs. Team A scored 80% of runs scored by Team B and lost by 42 runs. How many runs did Player X score? Correct Answer 126 runs

⇒ A lost to B by 42 runs and scored 80% of B’s runs. Therefore, 20% of B’s runs = 42

∴ Runs scored by Team B = 42 × 100/20 = 210 runs.

⇒ Runs scored by Team A = 80/100 × 210 = 168 runs.

⇒ Runs scored by Player X = 75/100 × 168 = 126 runs.

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