Question 20

A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is

Solution

let his average of 10 matches = x

total runs in 10 matches = 10x

in 11th match he scored 100 runs, so

total runs after 11th match = 10x + 100

average of 11 matches = (10x+100)/11

after 11th match the average of his runs is increased by 5, so

(10x+100)/11 = x+5

10x+100 = 11x + 55

x = 45

but present average = x+5 = 45+5 = 50

so the answer is option C.

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