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Question

The average runs scored by Naresh in four matches is 48. In the fifth match, Naresh scores some runs such that his average now becomes 60. In the sixth match, he scores 12 runs more than his fifth match and now the average of his last five matches becomes 78. Then the runs scored in his first match is (He does not remain not out in any of the match)

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Solution

The correct option is **B** 30

According to given data, runs scored by Naresh in first 4 matches =48×4=192

Average of 5 matches is 60, so total runs scored after 5 matches =60×5=300

⇒ Score of 5th match =300−192=108

Now in 6th match, he scores 12 runs more than this, so, he scored 120 in the 6th match.

Hence total runs scored in 6 matches =300+120=420

Now average of last five matches is 78, so runs scored in last 5 matches =78×5=390

∴ Runs scored in first match =420−390=30

According to given data, runs scored by Naresh in first 4 matches =48×4=192

Average of 5 matches is 60, so total runs scored after 5 matches =60×5=300

⇒ Score of 5th match =300−192=108

Now in 6th match, he scores 12 runs more than this, so, he scored 120 in the 6th match.

Hence total runs scored in 6 matches =300+120=420

Now average of last five matches is 78, so runs scored in last 5 matches =78×5=390

∴ Runs scored in first match =420−390=30

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