A cricket player after playing 15 tests scored 124 runs in the 16th test. As a result, the average of his runs is increased by 4. The present average of runs is
Show Hint
- 55
- 64
- 60
- 68
The Correct Option is B
Solution and Explanation
Step 1: Assume the initial average.
Let the average runs for the first 15 tests be \(x\).
So, the total runs in 15 tests = \(15x\).
Step 2: Add the 16th test runs.
In the 16th test, he scores 124 runs.
So, the total runs after 16 tests = \(15x + 124\).
Step 3: Write the condition for increased average.
The new average = \(x+4\).
Also, new average = \(\dfrac{15x + 124}{16}\).
\[ \dfrac{15x + 124}{16} = x+4 \]
Step 4: Solve the equation.
\(15x + 124 = 16x + 64\)
\(\Rightarrow 124 - 64 = 16x - 15x\)
\(\Rightarrow x = 60\).
Step 5: Find the new average.
New average = \(x+4 = 60+4 = 64\).
\[\boxed{64}\]
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