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Raghuvir obtained an average of 25 marks in 12 tests. Rumela has been maintaining an average of 23 marks so far, but she has taken only 8 of the tests. How much does Rumela have to score on an average in the remaining 4 tests to match Raghuvir’s performance?

Raghuvir obtained an average of 25 marks in 12 tests. Rumela has been maintaining an average of 23 marks so far, but she has taken only 8 of the tests. How much does Rumela have to score on an average in the remaining 4 tests to match Raghuvir’s performance? Correct Answer 29

Given:

Raghuvir obtained an average of 25 marks in 12 tests.

Rumela has been maintaining an average of 23 marks so far.

She has taken only 8 of the tests.

Concept used:

Total weight = Average weight × Number of boxes

Average = Number of scores/Number of tests

Calculation:

Average = Number of scores/Number of tests

Marks scored by Rahuvir in 12 tests = 25 × 12

⇒ 300 

Marks scored by Rumela in first 8 tests = 23 × 8

⇒ 184

Marks required by Rumela in the next 4 tests to match the average of Raghuvir

⇒ 300 – 184

⇒ 116

Required average = Marks required/Number of tests

⇒ 116/4

⇒ 29

∴ Rumela has to score 29 on an average in the remaining 4 tests to match Raghuvir’s performance.

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