Question : A batsman scores 98 runs in the 17th match of his career. His average runs per match increased by 2.5. What was his average before the 17th match?
Option 1: 58
Option 2: 60.5
Option 3: 63
Option 4: 55.5
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Correct Answer: 55.5
Solution :
Let the average before the 17
th
match be $x$.
New average after 17
th
match = $x$ + 2.5
Runs scored in the 17
th
match = 98 runs
Total runs before the 17
th
match = 16$x$
⇒ 16$x$ + 98 = ($x$ + 2.5) × 17
⇒ 17$x$ – 16$x$ = 98 – 42.5
⇒ $x$ = 55.5
Hence, the correct answer is 55.5.
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