Average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score i

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The average of runs scored by a cricketer in his $99$ innings is $99.$ How many runs will he have to score in his $100^{\text {th }}$ innings so that his average of runs in $100$ innings may be $100 ?$

A

$100$

B

$99$

C

$199$

D

$101$

Solution

Score in $100^{\text {th }}$ innings $=\frac{99 \times 99+x}{100}=100$

$\Rightarrow 9801+x=10000$

$x=199$

Standard 13

Quantitative Aptitude

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