A batsman makes a score of 270 runs in 87^{th} inning and thus increases his average by a certain nu

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4.Average

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A batsman makes a score of $270$ runs in the $87^{th}$ inning and thus increases his average by a certain number of runs that is a whole number. Find the possible values of the new average.

A

$98$

B

$184$

C

$12$

D

All of these

Solution

Let his Avg be $A$ And increased average $= A + x$

$86 A\,+\,270\,=\,87(A+x) \Rightarrow x=\frac{(270-A)}{87}$

if $x$ be a whole number possible value of $A$ $A=9,96,183,270$ for $x=3,2,1,0$

So new value $=12,98,184,270$

Standard 13

Quantitative Aptitude

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