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A cricketer hits 120 runs in 150 balls during a test match. 20% of the runs came in 6s , 30% in 4s , 25% in 2s and the rest in singles. How many runs did he score in singles?

Chapter/Topic: Surface Areas and Volumes

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answer is D.

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Detailed Solution

Total runs hit by the cricketer =120 runs
Now 20% of the runs came in sixes.
So, Total runs came in sixes =120×

\frac{20}{100}

=24 runs
30% of the runs came in fours.
So, Total runs came in fours =120×

\frac{30}{100}

=36runs
25% of the runs came in 2′s.
So, Total runs came in 2′s=120×

\frac{25}{100}

=30runs
And total runs came in singles = Total runs scored - (Total runs came in sixes + Total runs came in fours + Total runs came in 2's)
=120−(24+36+30)
=120−90
=30 runs

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