Question

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?

• A. $16$
• B. $4$
• C. $20$
• D. $30$

Answer 1

The correct option is D $30$

Total runs hit by the cricketer $=120$ runs

Now $20\%$ of the runs came in sixes.

So, Total runs came in sixes $=120\times \frac{20}{100}=24$ runs

30% of the runs came in fours.

So, Total runs came in fours $=120\times \frac{30}{100}=36$runs

$25\%$ of the runs came in $2^{\prime }s$.

So, Total runs came in $2^{\prime }s=120\times \frac{25}{100}=30$runs

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

Therefore, total runs came in singles $=30$ runs