Question 81

A batsman makes a score of 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?

Solution

Let average runs of the batsman in the first 15 matches = $$x$$

=> Total runs scored in 15 matches = $$15x$$

Runs scored in 16th match = 81

=> New average = $$\frac{15x+81}{16}=x+3$$

=> $$15x+81=16x+48$$

=> $$16x-15x=81-48$$

=> $$x=33$$
Average after the 16th match = $$33+3$$ = $$36$$.

Therefore, option D is the right answer.

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