Question 64

A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is

Solution

Let the initial average = $$x$$

=> Runs scored in first 11 innings = $$11x$$

Score in 12th innings = 120

According to ques, new average

=> $$\frac{11x+120}{12}=(x+5)$$

=> $$11x+120=12x+60$$

=> $$12x-11x=120-60$$

=> $$x=60$$

$$\therefore$$ Average score after 12th innings = $$60+5=65$$

=> Ans - (C)

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