A batsman score 98 runs in 17^{text {th }} match of his career. His average runs per match increase

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A batsman score $98$ runs in the $17^{\text {th }}$ match of his career. His average runs per match increase by $2.5$ What is his average before the $17^{\text {th }}$ match?

A

$58$

B

$60.5$

C

$63$

D

$55.5$

Solution

Average Score up to $16$ Match be $x$

$\frac{16 \times x+98}{17}=x+2.5$

$16 x+98=17 x+42.5$

$x=55.5$

Standard 13

Quantitative Aptitude

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